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0704.0808	Michael Lacey and Xiaochun Li	On a Conjecture of EM Stein on the Hilbert Transform on Vector Fields	Let $ v$ be a smooth vector field on the plane, that is a map from the plane to the unit circle. We study sufficient conditions for the boundedness of the Hilbert transform \operatorname H_{v, \epsilon}f(x) := \text{p.v.}\int_{-\epsilon}^ \epsilon f(x-yv(x)) \frac{dy}y where $ \epsilon $ is a suitably chosen parameter, determined by the smoothness properties of the vector field. It is a conjecture, due to E.\thinspace M.\thinspace Stein, that if $ v$ is Lipschitz, there is a positive $ \epsilon $ for which the transform above is bounded on $ L ^{2}$. Our principal result gives a sufficient condition in terms of the boundedness of a maximal function associated to $ v$. This sufficient condition is that this new maximal function be bounded on some $ L ^{p}$, for some $ 1<p<2$. We show that the maximal function is bounded from $ L ^{2}$ to weak $ L ^{2}$ for all Lipschitz maximal function. The relationship between our results and other known sufficient conditions is explored.	What is the title of this paper? arXiv:0704.0808v3 [math.CA] 11 Jan 2008On a Conjecture of E. M.Stein on the Hilbert Transform on Vector Fields Michael Lacey and Xiaochun Li Michael Lacey, School of Mathematics, Georgia Insti- tute of Technology, Atlanta GA 30332 Xiaochun Li, Department of Mathematics, University of Illinois, Urb
0704.0809	A.Lawrence	Wide Field Surveys and Astronomical Discovery Space	I review the status of science with wide field surveys. For many decades surveys have been the backbone of astronomy, and the main engine of discovery, as we have mapped the sky at every possible wavelength. Surveys are an efficient use of resources. They are important as a fundamental resource; to map intrinsically large structures; to gain the necessary statistics to address some problems; and to find very rare objects. I summarise major recent wide field surveys - 2MASS, SDSS, 2dfGRS, and UKIDSS - and look at examples of the exciting science they have produced, covering the structure of the Milky Way, the measurement of cosmological parameters, the creation of a new field studying substellar objects, and the ionisation history of the Universe. I then look briefly at upcoming projects in the optical-IR survey arena - VISTA, PanSTARRS, WISE, and LSST. Finally I ask, now we have opened up essentially all wavelength windows, whether the exploration of survey discovery space is ended. I examine other possible axes of discovery space, and find them mostly to be too expensive to explore or otherwise unfruitful, with two exceptions : the first is the time axis, which we have only just begun to explore properly; and the second is the possibility of neutrino astrophysics.	What is the title of this paper? arXiv:0704.0809v1 [astro-ph] 5 Apr 2007Wide Field Surveys and Astronomical Discovery Space A.Lawrence Institute for Astronomy, SUPA∗, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ A review for publication in Astronomy and Geophysics Feb 27th 2007 Abstract I review t
0704.0810	Rodrigo Leonardi, Brian Williams, Marco Bersanelli, Ivan Ferreira, Philip M. Lubin, Peter R. Meinhold, Hugh O'Neill, Nathan C. Stebor, Fabrizio Villa, Thyrso Villela, Carlos A. Wuensche	The Cosmic Foreground Explorer (COFE): A balloon-borne microwave polarimeter to characterize polarized foregrounds	The COsmic Foreground Explorer (COFE) is a balloon-borne microwave polarime- ter designed to measure the low-frequency and low-l characteristics of dominant diffuse polarized foregrounds. Short duration balloon flights from the Northern and Southern Hemispheres will allow the telescope to cover up to 80% of the sky with an expected sensitivity per pixel better than 100 $\mu K / deg^2$ from 10 GHz to 20 GHz. This is an important effort toward characterizing the polarized foregrounds for future CMB experiments, in particular the ones that aim to detect primordial gravity wave signatures in the CMB polarization angular power spectrum.	What is the title of this paper? arXiv:0704.0810v2 [astro-ph] 9 Apr 2007The Cosmic Foreground Explorer (COFE): A balloon-borne microwave polarimeter to characterize polarized foregrounds Rodrigo Leonardia,b, Brian Williamsa, Marco Bersanellic, Ivan Ferreirab, Philip M. Lubina, Peter R. Meinholda, Hugh O’Neilla, Nathan C.Stebora,
0704.0811	Gustavo E. Romero	Jet interactions in massive X-ray binaries	Massive X-ray binaries are formed by a compact object that accretes matter from the stellar wind of an early-type donor star. In some of these systems, called microquasars, relativistic jets are launched from the surroundings of the compact object. Such jets interact with the photon field of the companion star, the stellar wind, and, at large distances, with the interstellar medium. In this paper I will review the main results of such interactions with particular emphasis on the production of high-energy photons and neutrinos. The case of some specific systems, like LS I +61 303, will be discussed in some detail. Prospects for future observations at different wavelengths of this type of objects will be presented.	What is the title of this paper? arXiv:0704.0811v1 [astro-ph] 5 Apr 2007To appear in “Massive Stars: Fundamental Parameters and Cir cumstellar Interactions (2007)” RevMexAA(SC) JET INTERACTIONS IN MASSIVE X-RAY BINARIES Gustavo E. Romero1,2 RESUMEN Los sistemas binarios masivos de rayos X est´ an formados por un ob jeto compacto
0704.0812	Rodrigo F. D\'iaz, Carolina Cincunegui and Pablo J. D. Mauas (Instituto de Astronom\'ia y F\'isica del Espacio (IAFE). Buenos Aires, Argentina)	The Na I D resonance lines in main sequence late-type stars	We study the sodium D lines (D1: 5895.92 \AA; D2: 5889.95 \AA) in late-type dwarf stars. The stars have spectral types between F6 and M5.5 (B-V between 0.457 and 1.807) and metallicity between [Fe/H] = -0.82 and 0.6. We obtained medium resolution echelle spectra using the 2.15-m telescope at the argentinian observatory CASLEO. The observations have been performed periodically since 1999. The spectra were calibrated in wavelength and in flux. A definition of the pseudo-continuum level is found for all our observations. We also define a continuum level for calibration purposes. The equivalent width of the D lines is computed in detail for all our spectra and related to the colour index (B-V) of the stars. When possible, we perform a careful comparison with previous studies. Finally, we construct a spectral index (R_D') as the ratio between the flux in the D lines, and the bolometric flux. We find that, once corrected for the photospheric contribution, this index can be used as a chromospheric activity indicator in stars with a high level of activity. Additionally, we find that combining some of our results, we obtain a method to calibrate in flux stars of unknown colour.	What is the title of this paper? arXiv:0704.0812v1 [astro-ph] 5 Apr 2007Mon. Not.R. Astron. Soc. 000, 000–000 (0000) Printed 3October 2018 (MNL ATEXstyle ﬁlev2.2) TheNaI Dresonancelinesin mainsequencelate-typestars RodrigoF. D ´ıaz, Carolina CincuneguiandPablo J.D. Mauas Instituto deAstronom´ ıa y F´ ısica del Espacio, CC. 67, su
0704.0813	Benjamin Schlein	Dynamics of Bose-Einstein Condensates	We report on some recent results concerning the dynamics of Bose-Einstein condensates, obtained in a series of joint papers with L. Erdos and H.-T. Yau. Starting from many body quantum dynamics, we present a rigorous derivation of a cubic nonlinear Schroedinger equation known as the Gross-Pitaevskii equation for the time evolution of the condensate wave function.	What is the title of this paper? arXiv:0704.0813v1 [math-ph] 5 Apr 2007Dynamics of Bose-Einstein Condensates Benjamin Schlein Department of Mathematics, University of California at Davis, CA 95 616, USA October 15, 2018 Abstract We report on some recent results concerning the dynamics of Bose -Einstein condensates, ob- tained in
0704.0814	K.-P. Marzlin, Juergen Appel, A. I. Lvovsky	Photons as quasi-charged particles	The Schrodinger motion of a charged quantum particle in an electromagnetic potential can be simulated by the paraxial dynamics of photons propagating through a spatially inhomogeneous medium. The inhomogeneity induces geometric effects that generate an artificial vector potential to which signal photons are coupled. This phenomenon can be implemented with slow light propagating through an a gas of double-Lambda atoms in an electromagnetically-induced transparency setting with spatially varied control fields. It can lead to a reduced dispersion of signal photons and a topological phase shift of Aharonov-Bohm type.	What is the title of this paper? arXiv:0704.0814v2 [quant-ph] 16 Oct 2007Photons as quasi-charged particles K.-P. Marzlin, J¨ urgen Appel, A. I. Lvovsky Institute for Quantum Information Science, University of C algary, Calgary, Alberta T2N 1N4, Canada (Dated: November 3, 2018) The Schr¨ odinger motion of a charged quantum partic
0704.0815	D. Portes Jr., H. Rodrigues, S. B. Duarte and B. Baseia	Exchange of quantum states between coupled oscillators	Exchange of quantum states between two interacting harmonic oscillator along their evolution time is discussed. It is analyzed the conditions for such exchange starting from a generic initial state and demonstrating that the effect occurs exactly only for the particular states C0\|0>+Cn\|N>, which includes the interesting qubits components \|0>,\|1>. It is also determined the relation between the coupling constant and characteristic frequencies of the oscillators to have the complete exchange.	What is the title of this paper? arXiv:0704.0815v2 [quant-ph] 7 Apr 2007Exchange of quantum states between coupled oscillators D. Portes Jr. and H. Rodrigues Centro Federal de Educa¸ c˜ ao Tecnol´ ogica do Rio de Janeiro Departamento de Educa¸ c˜ ao Superior-DEPES. S. B. Duarte∗ Centro Brasileiro de Pesquisas F´ ısicas /CNPq, Rua
0704.0816	Brian Punsly	3-D Simulations of Ergospheric Disk Driven Poynting Jets	This Letter reports on 3-dimensional simulations of Kerr black hole magnetospheres that obey the general relativistic equations of perfect magnetohydrodynamics (MHD). In particular, we study powerful Poynting flux dominated jets that are driven from dense gas in the equatorial plane in the ergosphere. The physics of which has been previously studied in the simplified limit of an ergopsheric disk. For high spin black holes, $a/M > 0.95$, the ergospheric disk is prominent in the 3-D simulations and is responsible for greatly enhanced Poynting flux emission. Any large scale poloidal magnetic flux that is trapped in the equatorial region leads to an enormous release of electromagnetic energy that dwarfs the jet energy produced by magnetic flux threading the event horizon. The implication is that magnetic flux threading the equatorial plane of the ergosphere is a likely prerequisite for the central engine of powerful FRII quasars.	What is the title of this paper? arXiv:0704.0816v1 [astro-ph] 5 Apr 20073-D Simulations of Ergospheric Disk Driven Poynting Jets Brian Punsly 4014 Emerald Street No.116, Torrance CA, USA 90503 and Inter national Center for Relativistic Astrophysics, I.C.R.A.,University of Rome L a Sapienza, I-00185 Roma, Italy brian.m.punsly@L-3c
0704.0817	Hugh Thomas, Alexander Yong	An S_3-symmetric Littlewood-Richardson rule	The classical Littlewood-Richardson coefficients C(lambda,mu,nu) carry a natural $S_3$ symmetry via permutation of the indices. Our "carton rule" for computing these numbers transparently and uniformly explains these six symmetries; previously formulated Littlewood-Richardson rules manifest at most three of the six.	What is the title of this paper? arXiv:0704.0817v1 [math.CO] 6 Apr 2007ANS3-SYMMETRIC LITTLEWOOD-RICHARDSON RULE HUGH THOMAS AND ALEXANDER YONG 1. I NTRODUCTION Fix Young shapes λ,µ,ν⊆Λ:=ℓ×k. Viewing the Littlewood-Richardson coefﬁ- cientsCλ,µ,ν as intersection numbers of three Schubert varieties in gene ral position in the Grass
0704.0818	M. A. Shay, J. F. Drake, and M. Swisdak	Two-scale structure of the electron dissipation region during collisionless magnetic reconnection	Particle in cell (PIC) simulations of collisionless magnetic reconnection are presented that demonstrate that the electron dissipation region develops a distinct two-scale structure along the outflow direction. The length of the electron current layer is found to decrease with decreasing electron mass, approaching the ion inertial length for a proton-electron plasma. A surprise, however, is that the electrons form a high-velocity outflow jet that remains decoupled from the magnetic field and extends large distances downstream from the x-line. The rate of reconnection remains fast in very large systems, independent of boundary conditions and the mass of electrons.	What is the title of this paper? arXiv:0704.0818v1 [physics.plasm-ph] 6 Apr 2007Submitted to Physical Review Letters Two-scale structure of the electron dissipation region dur ing collisionless magnetic reconnection M. A. Shay∗ Department of Physics & Astronomy, 217 Sharp Lab, Universit y of Delaware, Newark, DE 19716 J. F. Drake
0704.0819	Lucero Uscanga, Jorge Cant\'o and Alejandro C. Raga	Position-Velocity Diagrams for the Maser Emission coming from a Keplerian Ring	We have studied the maser emission from a thin, planar, gaseous ring in Keplerian rotation around a central mass observed edge-on. The absorption coefficient within the ring is assumed to follow a power law dependence with the distance from the central mass as, k=k0r^{-q}. We have calculated position-velocity diagrams for the most intense maser features, for different values of the exponent q. We have found that, depending on the value of q, these diagrams can be qualitatively different. The most intense maser emission at a given velocity can either come mainly from regions close to the inner or outer edges of the amplifying ring or from the line perpendicular to the line of sight and passing through the central mass (as is commonly assumed). Particularly, when q>1 the position-velocity diagram is qualitatively similar to the one observed for the water maser emission in the nucleus of the galaxy NGC 4258. In the context of this simple model, we conclude that in this object the absorption coefficient depends on the radius of the amplifying ring as a decreasing function, in order to have significant emission coming from the inner edge of the ring.	What is the title of this paper? arXiv:0704.0819v1 [astro-ph] 6 Apr 2007Accepted by The Astrophysical Journal Preprint typeset using L ATEX style emulateapj v. 03/07/07 POSITION–VELOCITY DIAGRAMS FOR THE MASER EMISSION COMING F ROM A KEPLERIAN RING Lucero Uscanga, Centro de Radioastronom´ ıa y Astrof´ ısica, Universidad Na cional
0704.0820	Svetlana V. Boriskina	Coupling of whispering-gallery modes in size-mismatched microdisk photonic molecules	Mechanisms of whispering-gallery (WG) modes coupling in microdisk photonic molecules (PMs) with slight and significant size mismatch are numerically investigated. The results reveal two different scenarios of modes interaction depending on the degree of this mismatch and offer new insight into how PM parameters can be tuned to control and modify WG-modes wavelengths and Q-factors. From a practical point of view, these findings offer a way to fabricate PM microlaser structures that exhibit low thresholds and directional emission, and at the same time are more tolerant to fabrication errors than previously explored coupled-cavity structures composed of identical microresonators.	What is the title of this paper? 1Coupling of whispering-gallery modes in size-mismatched microdisk photonic molecules Svetlana V. Boriskina School of Radiophysics, V. Karazin Kharkov National University, Kharkov 61077, Ukraine Mechanisms of whispering-gallery (W G) modes coupling in microdisk photoni c molecules (PMs) with
0704.0821	Karol Gregor, Olexei I. Motrunich	Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice	We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible confining paramagnetic phases as we transition away from the spin liquid by the process of monopole condensation. Electromagnetic duality is used to rewrite the theory in terms of monopoles. For spin 1 we find several candidate phases of which the most natural one is a phase with spins organized into parallel Haldane chains. For spin 3/2 we find that the most natural phase has spins organized into parallel ladders. As a by-product, we also write a Landau theory of the ordering in two special classical frustrated XY models on the cubic lattice, one of which is the fully frustrated XY model. In a particular limit our approach maps to a dimer model with 2S dimers coming out of every site, and we find the same spin solid phases in this regime as well.	What is the title of this paper? arXiv:0704.0821v1 [cond-mat.str-el] 6 Apr 2007Spin solid phases of spin 1and spin 3/2antiferromagnets on a cubic lattice. Karol Gregor and Olexei I. Motrunich Department of Physics, California Institute of Technology , Pasadena, CA 91125 (Dated: October 30, 2018) We study spin S= 1 and S= 3/2 Heis
0704.0822	Yuya Sasai, Naoki Sasakura	Braided quantum field theories and their symmetries	Braided quantum field theories proposed by Oeckl can provide a framework for defining quantum field theories having Hopf algebra symmetries. In quantum field theories, symmetries lead to non-perturbative relations among correlation functions. We discuss Hopf algebra symmetries and such relations in braided quantum field theories. We give the four algebraic conditions between Hopf algebra symmetries and braided quantum field theories, which are required for the relations to hold. As concrete examples, we apply our discussions to the Poincare symmetries of two examples of noncommutative field theories. One is the effective quantum field theory of three-dimensional quantum gravity coupled with spinless particles given by Freidel and Livine, and the other is noncommutative field theory on Moyal plane. We also comment on quantum field theory on kappa-Minkowski spacetime.	What is the title of this paper? arXiv:0704.0822v6 [hep-th] 27 Aug 2007YITP-07-14 Braided quantum ﬁeld theories and their symmetries Yuya Sasai∗and Naoki Sasakura† Yukawa Institute for Theoretical Physics, Kyoto Universit y, Kyoto 606-8502, Japan Abstract Braided quantum ﬁeld theories proposed by Oeckl can provide a framework for
0704.0823	Hugh S. Hudson	Chromospheric Flares	In this topical review I revisit the "chromospheric flare." This should currently be an outdated concept, because modern data seem to rule out the possiblity of a major flare happening independently in the chromosphere alone, but the chromosphere still plays a major observational role in many ways. It is the source of the bulk of a flare's radiant energy - in particular the visible/UV continuum radiation. It also provides tracers that guide us to the coronal source of the energy, even though we do not yet understand the propagation of the energy from its storage in the corona to its release in the chromosphere. The formation of chromospheric radiations during a flare presents several difficult and interesting physical problems.	What is the title of this paper? arXiv:0704.0823v1 [astro-ph] 6 Apr 2007Coimbra Solar Physics Meeting on The Physics of Chromospher ic Plasmas ASP Conference Series, Vol. xxx, 2007 Petr Heinzel, Ivan Dorotoviˇ c and Robert J. Rutten, eds. Chromospheric Flares Hugh S. Hudson Space Sciences Laboratory, University of California, Ber
0704.0824	Mauricio Angel, Jaime Camacaro and Rafael Diaz	On the (3,N) Maurer-Cartan equation	Deformations of the 3-differential of 3-differential graded algebras are controlled by the (3,N) Maurer-Cartan equation. We find explicit formulae for the coefficients appearing in that equation, introduce new geometric examples of N-differential graded algebras, and use these results to study N Lie algebroids.	What is the title of this paper? arXiv:0704.0824v3 [math.QA] 4 Jan 2008On the (3 ,N) Maurer-Cartan equation Mauricio Angel, Jaime Camacaro and Rafael D´ ıaz Abstract Deformations of the 3-diﬀerential of 3-diﬀerential graded algebr as are controlled by the (3,N) Maurer-Cartan equation. We ﬁnd explicit formulae for the coeﬃcie nts
0704.0825	Yu Lan, Jihong Qin and Shiping Feng	Electronic structure of kinetic energy driven superconductors in the presence of bilayer splitting	Within the framework of the kinetic energy driven superconductivity, the electronic structure of bilayer cuprate superconductors in the superconducting state is studied. It is shown that the electron spectrum of bilayer cuprate superconductors is split into the bonding and antibonding components by the bilayer splitting, then the observed peak-dip-hump structure around the $[\pi,0]$ point is mainly caused by this bilayer splitting, with the superconducting peak being related to the antibonding component, and the hump being formed by the bonding component. The spectral weight increases with increasing the doping concentration. In analogy to the normal state case, both electron antibonding peak and bonding hump have the weak dispersions around the $[\pi,0]$ point.	What is the title of this paper? arXiv:0704.0825v2 [cond-mat.supr-con] 24 Jul 2007Electronic structure of kinetic energy driven superconduc tors in the presence of bilayer splitting Yu Lan,1Jihong Qin,2and Shiping Feng1 1Department of Physics, Beijing Normal University, Beijing 100875, China 2Department of Physics, Beijing Univer
0704.0826	Varsha P. Kulkarni, Donald G. York, Giovanni Vladilo, Daniel E. Welty	9.7 micrometer Silicate Absorption in a Damped Lyman-alpha Absorber at z=0.52	We report a detection of the 9.7 micrometer silicate absorption feature in a damped Lyman-alpha (DLA) system at z_{abs} = 0.524 toward AO0235+164, using the Infrared Spectrograph (IRS) onboard the Spitzer Space Telescope. The feature shows a broad shallow profile over about 8-12 micrometers in the absorber rest frame and appears to be > 15 sigma significant in equivalent width. The feature is fit reasonably well by the silicate absorption profiles for laboratory amorphous olivine or diffuse Galactic interstellar clouds. To our knowledge, this is the first indication of 9.7 micrometer silicate absorption in a DLA. We discuss potential implications of this finding for the nature of the dust in quasar absorbers. Although the feature is relatively shallow (tau_{9.7} = 0.08-0.09), it is about 2 times deeper than expected from extrapolation of the tau_{9.7} vs. E(B-V) relation known for diffuse Galactic interstellar clouds. Further studies of the 9.7 micrometer silicate feature in quasar absorbers will open a new window on the dust in distant galaxies.	What is the title of this paper? arXiv:0704.0826v2 [astro-ph] 2 May 2007Submitted to ApJ Letters (Revised Version including Referee’ s Comments) Preprint typeset using L ATEX style emulateapj v. 08/22/09 9.7µM SILICATE ABSORPTION IN A DAMPED LYMAN- αABSORBER AT Z= 0.52 Varsha P. Kulkarni1, Donald G. York2,3, Giovanni Vladilo4, Da
0704.0827	Nassissie Fekadu, Eric L. Sandquist, Michael Bolte	Photometry of the Globular Cluster NGC 5466: Red Giants and Blue Stragglers	We present wide-field BVI photometry for about 11,500 stars in the low-metallicity cluster NGC 5466. We have detected the red giant branch bump for the first time, although it is at least 0.2 mag fainter than expected relative to the turnoff. The number of red giants (relative to main sequence turnoff stars) is in excellent agreement with stellar models from the Yonsei-Yale and Teramo groups, and slightly high compared to Victoria-Regina models. This adds to evidence that an abnormally large ratio of red giant to main-sequence stars is not correlated with cluster metallicity. We discuss theoretical predictions from different research groups and find that the inclusion or exclusion of helium diffusion and strong limit Coulomb interactions may be partly responsible. We also examine indicators of dynamical history: the mass function exponent and the blue straggler frequency. NGC 5466 has a very shallow mass function, consistent with large mass loss and recently-discovered tidal tails. The blue straggler sample is significantly more centrally concentrated than the HB or RGB stars. We see no evidence of an upturn in the blue straggler frequency at large distances from the center. Dynamical friction timescales indicate that the stragglers should be more concentrated if the cluster's present density structure has existed for most of its history. NGC 5466 also has an unusually low central density compared to clusters of similar luminosity. In spite of this, the specific frequency of blue stragglers that puts it right on the frequency -- cluster M_V relation observed for other clusters.	What is the title of this paper? arXiv:0704.0827v1 [astro-ph] 6 Apr 2007Photometry of the Globular Cluster NGC 5466: Red Giants and Blue Stragglers Nassissie Fekadu and Eric L. Sandquist1,2 Department of Astronomy, San Diego state University, 5500 C ampanile Drive, San Diego, CA 92182 fekadu@sciences.sdsu.edu, erics@sciences.sdsu
0704.0828	C. Reichhardt and C. J. Olson Reichhardt	Vortex Molecular Crystal and Vortex Plastic Crystal States in Honeycomb and Kagome Pinning Arrays	Using numerical simulations, we investigate vortex configurations and pinning in superconductors with honeycomb and kagome pinning arrays. We find that a variety of novel vortex crystal states can be stabilized at integer and fractional matching field densities. The honeycomb and kagome pinning arrays produce considerably more pronounced commensuration peaks in the critical depinning force than triangular pinning arrays, and also cause additional peaks at noninteger matching fields where a portion of the vortices are located in the large interstitial regions of the pinning lattices. For the honeycomb pinning array, we find matching effects of equal strength at most fillings B/B_\phi=n/2 for n>2, where n is an integer, in agreement with recent experiments. For kagome pinning arrays, pronounced matching effects generally occur at B/B_\phi=n/3 for n>3, while for triangular pinning arrays pronounced matching effects are observed only at integer fillings B/B_\phi=n. At the noninteger matching field peaks in the honeycomb and kagome pinning arrays, the interstitial vortices are arranged in dimer, trimer, and higher order n-mer states that have an overall orientational order. We call these n-mer states "vortex molecular crystals" and "vortex plastic crystals" since they are similar to the states recently observed in colloidal molecular crystal systems. We argue that the vortex molecular crystals have properties in common with certain spin systems such as Ising and n-state Potts models. We show that kagome and honeycomb pinning arrays can be useful for increasing the critical current above that of purely triangular pinning arrays.	What is the title of this paper? arXiv:0704.0828v2 [cond-mat.supr-con] 26 Jul 2007Vortex Molecular Crystal and Vortex Plastic Crystal States in Honeycomb and Kagom´ e Pinning Arrays C. Reichhardt and C.J. Olson Reichhardt Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico
0704.0829	Bang-Rong Zhou (Graduate School of Chinese Academy of Sciences)	Quark-Antiquark and Diquark Condensates in Vacuum in a 3D Two-Flavor Gross-Neveu Model	The effective potential analysis indicates that, in a 3D two-flavor Gross-Neveu model in vacuum, depending on less or bigger than the critical value 2/3 of $G_S/H_P$, where $G_S$ and $H_P$ are respectively the coupling constants of scalar quark-antiquark channel and pseudoscalar diquark channel, the system will have the ground state with pure diquark condensates or with pure quark-antiquark condensates, but no the one with coexistence of the two forms of condensates. The similarities and differences in the interplay between the quark-antiquark and the diquark condensates in vacuum in the 2D, 3D and 4D two-flavor four-fermion interaction models are summarized.	What is the title of this paper? arXiv:0704.0829v2 [hep-th] 23 Jun 2007Quark-Antiquark and Diquark Condensates in Vacuum in a 3D Tw o-Flavor Gross-Neveu Model∗ Zhou Bang-Rong College of Physical Sciences, Graduate School of the Chines e Academy of Sciences, Beijing 100049, China and CCAST (World Laboratory), P.O.Box 8730, Beijing
0704.0830	Qin Liu, Tianxing Ma, Shou-Cheng Zhang	Spin accumulation from the non-Abelian Aharonov-Bohm effect	Recently, it has been shown that the spin-orbit coupling (SOC) of the Dresselhaus type in $[110]$ quantum wells can be mathematically removed by a non-Abelian gauge transformation. In the presence of an additional uniform magnetic field, such a non-Abelian gauge flux leads to a spin accumulation at the edges of the sample, where the relative sign of the spin accumulation between the edges can be tuned by the sign of the Dresselhaus SOC constant. Our prediction can be tested by Kerr measurements within the available experimental sensitivities.	What is the title of this paper? arXiv:0704.0830v1 [cond-mat.mes-hall] 6 Apr 2007Spin accumulation from the non-Abelian Aharonov-Bohm eﬀec t Qin Liu1, Tianxing Ma1, Shou-Cheng Zhang2,1 1Department of Physics, Fudan University, Shanghai 200433, China 2Department of Physics, Stanford University, Stanford, Cal ifornia 94305 (Dated:
0704.0831	Brooke Shrader and Anthony Ephremides	On packet lengths and overhead for random linear coding over the erasure channel	We assess the practicality of random network coding by illuminating the issue of overhead and considering it in conjunction with increasingly long packets sent over the erasure channel. We show that the transmission of increasingly long packets, consisting of either of an increasing number of symbols per packet or an increasing symbol alphabet size, results in a data rate approaching zero over the erasure channel. This result is due to an erasure probability that increases with packet length. Numerical results for a particular modulation scheme demonstrate a data rate of approximately zero for a large, but finite-length packet. Our results suggest a reduction in the performance gains offered by random network coding.	What is the title of this paper? arXiv:0704.0831v1 [cs.IT] 6 Apr 2007On packet lengths and overhead for random linear coding over the erasure channel Brooke Shrader and Anthony Ephremides Electrical and Computer Engineering Dept and Institute for Systems Research University of Maryland College Park, MD 20742 bshrader, etony@umd.e
0704.0832	Nader Haghighipour, Steinn Sigurdsson, Jack Lissauer, Sean Raymond	Terrestrial and Habitable Planet Formation in Binary and Multi-star Systems	One of the most surprising discoveries of extrasolar planets is the detection of planets in moderately close binary star systems. The Jovian-type planets in the two binaries of Gamma Cephei and GJ 86 have brought to the forefront questions on the formation of giant planets and the possibility of the existence of smaller bodies in such dynamically complex environments. The diverse dynamical characteristics of these objects have made scientists wonder to what extent the current theories of planet formation can be applied to binaries and multiple star systems. At present, the sensitivity of the detection techniques does not allow routine discovery of Earth-sized bodies in binary systems. However, with the advancement of new techniques, and with the recent launch of CoRoT and the launch of Kepler in late 2008, the detection of more planets (possibly terrestrial-class objects) in such systems is on the horizon. Theoretical studies and numerical modeling of terrestrial and habitable planet formation are, therefore, necessary to gain fundamental insights into the prospects for life in such systems and have great strategic impact on NASA science and missions.	What is the title of this paper? White Paper (Submitted to ExoPlanet Task Force) Terrestrial and Habitable Planet Formation in Binary and Multi-star Systems Authors Nader Haghighipour Institute for Astronomy and NASA Astrobiology Institute, University of Hawaii-Manoa Steinn Sigurdsson Department of Astronomy & Astrophysics
0704.0833	\'Arp\'ad B\'enyi, Kasso A. Okoudjou	Local well-posedness of nonlinear dispersive equations on modulation spaces	By using tools of time-frequency analysis, we obtain some improved local well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces $M{p, 1}_{0,s}$.	What is the title of this paper? arXiv:0704.0833v1 [math.AP] 6 Apr 2007LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES ´ARP´AD B´ENYI AND KASSO A. OKOUDJOU Abstract. By using tools of time-frequency analysis, we obtain some improved local well-posedness results for the NLS, NLW and NLKG equations w ith
0704.0834	Anatoly Rodionov, Sergey Volkov	P-adic arithmetic coding	A new incremental algorithm for data compression is presented. For a sequence of input symbols algorithm incrementally constructs a p-adic integer number as an output. Decoding process starts with less significant part of a p-adic integer and incrementally reconstructs a sequence of input symbols. Algorithm is based on certain features of p-adic numbers and p-adic norm. p-adic coding algorithm may be considered as of generalization a popular compression technique - arithmetic coding algorithms. It is shown that for p = 2 the algorithm works as integer variant of arithmetic coding; for a special class of models it gives exactly the same codes as Huffman's algorithm, for another special model and a specific alphabet it gives Golomb-Rice codes.	What is the title of this paper? 4/5/2007 1P-adic arithmetic coding. Anatoly Rodionov, Sergey Volko v Spectrum Systems, Inc Abstract A new incremental algorithm for data compression is presented. For a sequence of input symbols algorithm incrementally constructs a p-adic integer number as an output. Decoding process start
0704.0835	C.C. Cheung	Compton X-ray and Gamma-ray Emission from Extended Radio Galaxies	The extended lobes of radio galaxies are examined as sources of X-ray and gamma-ray emission via inverse Compton scattering of 3K background photons. The Compton spectra of two exemplary examples, Fornax A and Centaurus A, are estimated using available radio measurements in the ~10's MHz - 10's GHz range. For average lobe magnetic fields of >~0.3-1 micro-G, the lobe spectra are predicted to extend into the soft gamma-rays making them likely detectable with the GLAST LAT. If detected, their large angular extents (~1 deg and 8 deg) will make it possible to ``image'' the radio lobes in gamma-rays. Similarly, this process operates in more distant radio galaxies and the possibility that such systems will be detected as unresolved gamma-ray sources with GLAST is briefly considered.	What is the title of this paper? arXiv:0704.0835v1 [astro-ph] 6 Apr 2007Compton X-rayand γ-rayEmissionfrom Extended Radio Galaxies C.C.Cheung1 Kavli InstituteforParticleAstrophysicsandCosmology,S tanfordUniversity, Stanford,CA94305,USA Abstract. The extended lobes of radio galaxies are examined as sources of X-ray and γ-ray emiss
0704.0836	Kurt W. Luoto	A matroid-friendly basis for the quasisymmetric functions	A new Z-basis for the space of quasisymmetric functions (QSym, for short) is presented. It is shown to have nonnegative structure constants, and several interesting properties relative to the space of quasisymmetric functions associated to matroids by the Hopf algebra morphism (F) of Billera, Jia, and Reiner. In particular, for loopless matroids, this basis reflects the grading by matroid rank, as well as by the size of the ground set. It is shown that the morphism F is injective on the set of rank two matroids, and that decomposability of the quasisymmetric function of a rank two matroid mirrors the decomposability of its base polytope. An affirmative answer is given to the Hilbert basis question raised by Billera, Jia, and Reiner.	What is the title of this paper? arXiv:0704.0836v2 [math.CO] 16 Nov 2007A Matroid-Friendly Basis for the Quasisymmetric Functions Kurt W. Luoto Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195, USA kwluoto@math.washington.edu October 26, 2018 Abstract A newZ-basis for the space of quasisymmetric
0704.0837	Jae-Weon Lee, Kyungsub Kim, Chul H. Lee, Ji-ho Jang	Bremsstrahlung Radiation At a Vacuum Bubble Wall	When charged particles collide with a vacuum bubble, they can radiate strong electromagnetic waves due to rapid deceleration. Owing to the energy loss of the particles by this bremsstrahlung radiation, there is a non-negligible damping pressure acting on the bubble wall even when thermal equilibrium is maintained. In the non-relativistic region, this pressure is proportional to the velocity of the wall and could have influenced the bubble dynamics in the early universe.	What is the title of this paper? arXiv:0704.0837v1 [hep-th] 6 Apr 2007Bremsstrahlung Radiation At a Vacuum Bubble Wall Jae-Weon Lee∗ School of Computational Sciences, Korea Institute for Adva nced Study, 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul 130-72 2, Korea Kyungsub Kim and Chul H. Lee Department of Physics, Hanyang U
0704.0838	Gil I. Shamir	Universal Source Coding for Monotonic and Fast Decaying Monotonic Distributions	We study universal compression of sequences generated by monotonic distributions. We show that for a monotonic distribution over an alphabet of size $k$, each probability parameter costs essentially $0.5 \log (n/k^3)$ bits, where $n$ is the coded sequence length, as long as $k = o(n^{1/3})$. Otherwise, for $k = O(n)$, the total average sequence redundancy is $O(n^{1/3+\epsilon})$ bits overall. We then show that there exists a sub-class of monotonic distributions over infinite alphabets for which redundancy of $O(n^{1/3+\epsilon})$ bits overall is still achievable. This class contains fast decaying distributions, including many distributions over the integers and geometric distributions. For some slower decays, including other distributions over the integers, redundancy of $o(n)$ bits overall is achievable, where a method to compute specific redundancy rates for such distributions is derived. The results are specifically true for finite entropy monotonic distributions. Finally, we study individual sequence redundancy behavior assuming a sequence is governed by a monotonic distribution. We show that for sequences whose empirical distributions are monotonic, individual redundancy bounds similar to those in the average case can be obtained. However, even if the monotonicity in the empirical distribution is violated, diminishing per symbol individual sequence redundancies with respect to the monotonic maximum likelihood description length may still be achievable.	What is the title of this paper? arXiv:0704.0838v1 [cs.IT] 6 Apr 2007Universal Source Coding for Monotonic and Fast Decaying Monotonic Distributions∗ Gil I. Shamir Department of Electrical and Computer Engineering University of Utah Salt Lake City, UT 84112, U.S.A e-mail: gshamir@ece.utah.edu. Abstract We study universal compress
0704.0839	Grigory Mikhalkin	Moduli spaces of rational tropical curves	This note is devoted to the definition of moduli spaces of rational tropical curves with n marked points. We show that this space has a structure of a smooth tropical variety of dimension n-3. We define the Deligne-Mumford compactification of this space and tropical $\psi$-class divisors.	What is the title of this paper? arXiv:0704.0839v1 [math.AG] 6 Apr 2007MODULI SPACES OF RATIONAL TROPICAL CURVES GRIGORY MIKHALKIN Abstract. This note is devoted to the deﬁnition ofmoduli spaces ofrationaltropicalcurveswith nmarkedpoints. We showthatthis space has a structure of a smooth tropical variety of dimension n−3. We deﬁn
0704.0841	Bang-Rong Zhou (Graduate School of Chinese Academy of Sciences)	Difermion condensates in vacuum in 2-4D four-fermion interaction models	Theoretical analysis of interplay between the condensates $<\bar{q}q>$ and $<qq>$ in vacuum is generally made by relativistic effective potentials in the mean field approximation in 2D, 3D and 4D models with two flavor and $N_c$ color massless fermions. It is found that in ground states of these models, interplay between the two condensates mainly depend on the ratio $G_S/H_S$ for 2D and 4D case or $G_S/H_P$ for 3D case, where $G_S$, $H_S$ and $H_P$ are respectively the coupling constants in a scalar $(\bar{q}q)$, a scalar $(qq)$ and a pseudoscalar $(qq)$ channel. In ground states of all the models, only pure $<\bar{q}q>$ condensates could exist if $G_S/H_S$ or $G_S/H_P$ is bigger than the critical value $2/N_c$, the ratio of the color numbers of the fermions entering into the condensates $<qq>$ and $<\bar{q}q>$. As $G_S/H_S$ or $G_S/H_P$ decreases to the region below $2/N_c$, differences of the models will manifest themselves. Depending on different models, and also on $N_c$ in 3D model, one will have or have no the coexistence phase of the two condensates, besides the pure $<qq>$ condensate phase. The $G_S-H_S$ (or $G_S-H_P$) phase diagrams in these models are given. The results also implicate a real constraint on two-flavor QCD-analogous NJL model.	What is the title of this paper? arXiv:0704.0841v3 [hep-th] 17 Feb 2008Difermion condensates in vacuum in 2-4D four-fermion inter action models∗ Bang-Rong Zhou† College of Physical Sciences, Graduate School of the Chinese Academy of Sciences, Beijing 100049, China In any four fermion (denoted by q) interaction models, the couplin
0704.0842	Chengguang Bao	Oscillation bands of condensates on a ring: Beyond the mean field theory	The Hamiltonian of a N-boson system confined on a ring with zero spin and repulsive interaction is diagonalized. The excitation of a pair of p-wave-particles rotating reversely appears to be a basic mode. The fluctuation of many of these excited pairs provides a mechanism of oscillation, the states can be thereby classified into oscillation bands. The particle correlation is studied intuitively via the two-body densities. Bose-clustering originating from the symmetrization of wave functions is found, which leads to the appearance of 1-, 2-, and 3-cluster structures. The motion is divided into being collective and relative, this leads to the establishment of a relation between the very high vortex states and the low-lying states.	What is the title of this paper? arXiv:0704.0842v1 [cond-mat.other] 6 Apr 2007Oscillation bands of condensates on a ring: Beyond the mean ﬁ eld theory C. G. Bao Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, P. R. China and The State Key Laboratory of Optoelectronic Materials a
0704.0843	Takuya Okabe	Kadowaki-Woods Ratio of Strongly Coupled Fermi Liquids	On the basis of the Fermi liquid theory, the Kadowaki-Woods ratio $A/\gamma^2$ is evaluated by using a first principle band calculation for typical itinerant $d$ and $f$ electron systems. It is found as observed that the ratio for the $d$ electron systems is significantly smaller than the normal $f$ systems, even without considering their relatively weak correlation. The difference in the ratio value comes from different characters of the Fermi surfaces. By comparing Pd and USn$_3$ as typical cases, we discuss the importance of the Fermi surface dependence of the quasiparticle transport relaxation.	What is the title of this paper? arXiv:0704.0843v2 [cond-mat.str-el] 2 Oct 2007Kadowaki-Woods Ratio of Strongly Coupled Fermi Liquids Takuya Okabe Faculty of Engineering, Shizuoka University, 3-5-1 Johoku , Hamamatsu 432-8561,Japan∗ (Dated: November 28, 2018) On the basis of the Fermi liquid theory, the Kadowaki-Woods r atioA/γ2i
0704.0844	Masayuki Matsuzaki and Etsuchika Kobayashi (Fukuoka Univ. of Educ.)	Structure of Strange Dwarfs with Color Superconducting Core	We study effects of two-flavor color superconductivity on the structure of strange dwarfs, which are stellar objects with similar masses and radii with ordinary white dwarfs but stabilized by the strange quark matter core. We find that unpaired quark matter is a good approximation to the core of strange dwarfs.	What is the title of this paper? arXiv:0704.0844v1 [astro-ph] 6 Apr 2007Structure of Strange Dwarfs with Color Superconducting Cor e Masayuki Matsuzaki∗and Etsuchika Kobayashi Department of Physics, Fukuoka University of Education, Munakata, Fukuoka 811-4192, Japan Abstract We study eﬀects of two-ﬂavor color superconductivity on
0704.0845	A. O. Niskanen, Y. Nakamura, J. P. Pekola	Information entropic superconducting microcooler	We consider a design for a cyclic microrefrigerator using a superconducting flux qubit. Adiabatic modulation of the flux combined with thermalization can be used to transfer energy from a lower temperature normal metal thin film resistor to another one at higher temperature. The frequency selectivity of photonic heat conduction is achieved by including the hot resistor as part of a high frequency LC resonator and the cold one as part of a low-frequency oscillator while keeping both circuits in the underdamped regime. We discuss the performance of the device in an experimentally realistic setting. This device illustrates the complementarity of information and thermodynamic entropy as the erasure of the quantum bit directly relates to the cooling of the resistor.	What is the title of this paper? arXiv:0704.0845v1 [cond-mat.supr-con] 6 Apr 2007Information entropic superconducting microcooler A. O. Niskanen,1,2Y. Nakamura,1,3,4and J. P. Pekola5 1CREST-JST, Kawaguchi, Saitama 332-0012,Japan 2VTT Technical Research Centre of Finland, Sensors, PO BOX 10 00, 02044 VTT, Finland 3NEC Fundamental
0704.0846	Heidi Haynal	PI degree parity in q-skew polynomial rings	For k a field of arbitrary characteristic, and R a k-algebra, we show that the PI degree of an iterated skew polynomial ring R[x_1;\tau_1,\delta_1]...b[x_n;\tau_n,\delta_n] agrees with the PI degree of R[x_1;\tau_1]...b[x_n;\tau_n] when each (\tau_i,\delta_i) satisfies a q_i-skew relation for q_i \in k^{\times} and extends to a higher q_i-skew \tau_i-derivation. We confirm the quantum Gel'fand-Kirillov conjecture for various quantized coordinate rings, and calculate their PI degrees. We extend these results to completely prime factor algebras.	What is the title of this paper? arXiv:0704.0846v1 [math.RA] 6 Apr 2007PI DEGREE PARITY IN q-SKEW POLYNOMIAL RINGS HEIDI HAYNAL Abstract. Forka ﬁeld of arbitrary characteristic, and Rak-algebra, we show that the PI degree of an iterated skew polynomial ring R[x1;τ1,δ1]···[xn;τn,δn] agrees with the PI degree of R[x1;τ1]···[xn;τn]
0704.0847	D. N. Poenaru, R. A. Gherghescu, A. V. Solov'yov, W. Greiner	Semi-spheroidal Quantum Harmonic Oscillator	A new single-particle shell model is derived by solving the Schr\"odinger equation for a semi-spheroidal potential well. Only the negative parity states of the $Z(z)$ component of the wave function are allowed, so that new magic numbers are obtained for oblate semi-spheroids, semi-sphere and prolate semi-spheroids. The semi-spherical magic numbers are identical with those obtained at the oblate spheroidal superdeformed shape: 2, 6, 14, 26, 44, 68, 100, 140, ... The superdeformed prolate magic numbers of the semi-spheroidal shape are identical with those obtained at the spherical shape of the spheroidal harmonic oscillator: 2, 8, 20, 40, 70, 112, 168 ...	What is the title of this paper? arXiv:0704.0847v1 [physics.atm-clus] 6 Apr 2007Semi-spheroidal Quantum Harmonic Oscillator D. N. Poenaru,1,2,∗R. A. Gherghescu,1,2A. V. Solov’yov,1and W. Greiner1 1Frankfurt Institute for Advanced Studies, J. W. Goethe Univ ersit¨ at, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany 2Horia
0704.0848	Hyeong-Chai Jeong	Growing Perfect Decagonal Quasicrystals by Local Rules	A local growth algorithm for a decagonal quasicrystal is presented. We show that a perfect Penrose tiling (PPT) layer can be grown on a decapod tiling layer by a three dimensional (3D) local rule growth. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystalline structure in bulk with a point defect only on the bottom surface layer. Our growth rule shows that an ideal quasicrystal structure can be constructed by a local growth algorithm in 3D, contrary to the necessity of non-local information for a 2D PPT growth.	What is the title of this paper? arXiv:0704.0848v1 [cond-mat.dis-nn] 6 Apr 2007Growing Perfect Decagonal Quasicrystals by Local Rules Hyeong-Chai Jeong Department of Physics, Sejong University, Seoul 143-747, K orea, Asia Paciﬁc Center for Theoretical Physics, POSTECH, Pohan g 790-784, Korea, and Department of Physics, Princeton