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704.0002	Sparsity-certifying Graph Decompositions Ileana Streinu1∗, Louis Theran2 1 Department of Computer Science, Smith College, Northampton, MA. e-mail: streinu@cs.smith.edu 2 Department of Computer Science, University of Massachusetts Amherst. e-mail: theran@cs.umass.edu Abstract. We describe a new algorithm, the (k, `)-peb...	We describe a new algorithm, the $(k,\ell)$-pebble game with colors, and use it obtain a characterization of the family of $(k,\ell)$-sparse graphs and algorithmic solutions to a family of problems concerning tree decompositions of graphs. Special instances of sparse graphs appear in rigidity theory and have received...	Introduction and preliminaries The focus of this paper is decompositions of (k, `)-sparse graphs into edge-disjoint subgraphs that certify sparsity. We use graph to mean a multigraph, possibly with loops. We say that a graph is (k, `)-sparse if no subset of n′ vertices spans more than kn′− ` edges in the graph; a (k, `...
704.0003	The evolution of the Earth-Moon system based on the dark fluid model The evolution of the Earth-Moon system based on the dark matter field fluid model Hongjun Pan Department of Chemistry University of North Texas, Denton, Texas 76203, U. S. A. Abstract The evolution of Earth-Moon system is described by the dar...	The evolution of Earth-Moon system is described by the dark matter field fluid model proposed in the Meeting of Division of Particle and Field 2004, American Physical Society. The current behavior of the Earth-Moon system agrees with this model very well and the general pattern of the evolution of the Moon-Earth syst...	Introduction The popularly accepted theory for the formation of the Earth-Moon system is that the Moon was formed from debris of a strong impact by a giant planetesimal with the Earth at the close of the planet-forming period (Hartmann and Davis 1975). Since the formation of the Earth-Moon system, it has been evolv...
704.0004	A Determinant of Stirling Cycle Numbers Counts Unlabeled Acyclic Single-Source Automata DAVID CALLAN Department of Statistics University of Wisconsin-Madison 1300 University Ave Madison, WI 53706-1532 callan@stat.wisc.edu March 30, 2007 Abstract We show that a determinant of Stirling cycle numbers counts unlabeled acyc...	We show that a determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata. The proof involves a bijection from these automata to certain marked lattice paths and a sign-reversing involution to evaluate the determinant.	Introduction The chief purpose of this paper is to show bijectively that a determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata. Specifically, let Ak(n) denote the kn × kn matrix with (i, j) entry [ ⌊ i−1 ⌊ i−1 ⌋+1+i−j , where is the Stirling cycle number, the number of permutations on ...
704.0005	FROM DYADIC Λα TO Λα WAEL ABU-SHAMMALA AND ALBERTO TORCHINSKY Abstract. In this paper we show how to compute the Λα norm , α ≥ 0, using the dyadic grid. This result is a consequence of the description of the Hardy spaces Hp(RN ) in terms of dyadic and special atoms. Recently, several novel methods for computing the BMO...	In this paper we show how to compute the $\Lambda_{\alpha}$ norm, $\alpha\ge 0$, using the dyadic grid. This result is a consequence of the description of the Hardy spaces $H^p(R^N)$ in terms of dyadic and special atoms.	FROM DYADIC Λα TO Λα WAEL ABU-SHAMMALA AND ALBERTO TORCHINSKY Abstract. In this paper we show how to compute the Λα norm , α ≥ 0, using the dyadic grid. This result is a consequence of the description of the Hardy spaces Hp(RN ) in terms of dyadic and special atoms. Recently, several novel methods for computing the BMO...
704.0007	Polymer Quantum Mechanics and its Continuum Limit Alejandro Corichi,1, 2, 3, ∗ Tatjana Vukašinac,4, † and José A. Zapata1, ‡ Instituto de Matemáticas, Unidad Morelia, Universidad Nacional Autónoma de México, UNAM-Campus Morelia, A. Postal 61-3, Morelia, Michoacán 58090, Mexico Instituto de Ciencias Nucleares, Uni...	A rather non-standard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation has gained some attention in recent years, due to its possible relation with Planck scale physics. In particular, this approach has been followed in a symmetric sector ...	Polymer Quantum Mechanics and its Continuum Limit Alejandro Corichi,1, 2, 3, ∗ Tatjana Vukašinac,4, † and José A. Zapata1, ‡ Instituto de Matemáticas, Unidad Morelia, Universidad Nacional Autónoma de México, UNAM-Campus Morelia, A. Postal 61-3, Morelia, Michoacán 58090, Mexico Instituto de Ciencias Nucleares, Uni...
704.0008	Numerical solution of shock and ramp compression for general material properties Damian C. Swift∗ Materials Science and Technology Division, Lawrence Livermore National Laboratory, 7000, East Avenue, Livermore, CA 94550, U.S.A. (Dated: March 7, 2007; revised April 8, 2008 and July 1, 2008 – LA-UR-07-2051) Abstract A ge...	A general formulation was developed to represent material models for applications in dynamic loading. Numerical methods were devised to calculate response to shock and ramp compression, and ramp decompression, generalizing previous solutions for scalar equations of state. The numerical methods were found to be flexib...	Introduction Conceptual structure for material properties Idealized one-dimensional loading Ramp compression Shock compression Accuracy: application to air Complex behavior of condensed matter Temperature Density-temperature equations of state Temperature model for mechanical equations of state Strength Pref...
704.001	Partial cubes: structures, characterizations, and constructions Sergei Ovchinnikov Mathematics Department San Francisco State University San Francisco, CA 94132 sergei@sfsu.edu May 8, 2006 Abstract Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djoković’s ...	Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi\'{c}'s and Winkler's relations play an important role in the theory of partial cubes. These structures are employed in the paper to characterize bipartite graphs and partial cubes of arbitrary dimensi...	Introduction A hypercube H(X) on a set X is a graph which vertices are the finite subsets of X ; two vertices are joined by an edge if they differ by a singleton. A partial cube is a graph that can be isometrically embedded into a hypercube. There are three general graph-theoretical structures that play a prominent rol...
704.0011	COMPUTING GENUS 2 HILBERT-SIEGEL MODULAR FORMS OVER Q( 5) VIA THE JACQUET-LANGLANDS CORRESPONDENCE CLIFTON CUNNINGHAM AND LASSINA DEMBÉLÉ Abstract. In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some il...	In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some illustrative examples using the quadratic field $\Q(\sqrt{5})$. In those examples, we identify Hilbert-Siegel eigenforms that are possible lifts from ...	Introduction Let F be a real quadratic field of narrow class number one and let B be the unique (up to isomorphism) quaternion algebra over F which is ramified at both archimedean places of F and unramified everywhere else. Let GU2(B) be the unitary similitude group of B⊕2. This is the set of Q-rational points of an al...
704.0012	DISTRIBUTION OF INTEGRAL FOURIER COEFFICIENTS OF A MODULAR FORM OF HALF INTEGRAL WEIGHT MODULO PRIMES D. CHOI Abstract. Recently, Bruinier and Ono classified cusp forms f(z) := af (n)q Sλ+ 1 (Γ0(N), χ) ∩ Z[[q]] that does not satisfy a certain distribution property for modulo odd primes p. In this paper, using Rankin-Co...	Recently, Bruinier and Ono classified cusp forms $f(z) := \sum_{n=0}^{\infty} a_f(n)q ^n \in S_{\lambda+1/2}(\Gamma_0(N),\chi)\cap \mathbb{Z}[[q]]$ that does not satisfy a certain distribution property for modulo odd primes $p$. In this paper, using Rankin-Cohen Bracket, we extend this result to modular forms of half...	Introduction and Results Let Mλ+ 1 (Γ0(N), χ) and Sλ+ 1 (Γ0(N), χ) be the spaces, respectively, of modular forms and cusp forms of weight λ + 1 on Γ0(N) with a Dirichlet character χ whose conductor divides N . If f(z) ∈Mλ+ 1 (Γ0(N), χ), then f(z) has the form f(z) = a(n)qn, where q := e2πiz. It is well-known that the c...
704.0013	p-ADIC LIMIT OF THE FOURIER COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS OF HALF INTEGRAL WEIGHT D. CHOI AND Y. CHOIE Abstract. Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(Z) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modul...	Serre obtained the p-adic limit of the integral Fourier coefficient of modular forms on $SL_2(\mathbb{Z})$ for $p=2,3,5,7$. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $\Gamma_{0}(4N)$ for $N=1,2,4$. A proof is based on linear relations among Fourier coe...	Introduction and Statement of Main Results Serre obtained the p-adic limits of the integral Fourier coefficients of modular forms on SL2(Z) for p = 2, 3, 5, 7 (see Théorème 7 and Lemma 8 in [20]). In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on Γ0(4N) forN =...
704.0014	Iterated integrals and the loop product Koichi Fujii 1 Introduction The purpose of this paper is to describe string topology from the viewpoint of Chen’s iterated integrals. Let M be a compact closed oriented d-manifold and LM be the free loop space ofM , the set of unbased smooth maps from S1 toM . Let H∗(LM) be the h...	In this article we discuss a relation between the string topology and differential forms based on the theory of Chen's iterated integrals and the cyclic bar complex.	Introduction The purpose of this paper is to describe string topology from the viewpoint of Chen’s iterated integrals. Let M be a compact closed oriented d-manifold and LM be the free loop space ofM , the set of unbased smooth maps from S1 toM . Let H∗(LM) be the homology of the free loop space shifted by the dimension...
704.0015	arXiv:0704.0015v2 [hep-th] 10 Mar 2008 Preprint typeset in JHEP style - HYPER VERSION Fermionic superstring loop amplitudes in the pure spinor formalism Christian Stahn Department of Physics, University of North Carolina Chapel Hill, NC 27599–3255, USA E-mail: stahn@physics.unc.edu Abstract: The pure spinor formulati...	The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed as integrals in pure spinor superspace. This paper explores different methods to evaluate these integrals and then uses them to calculate the kinematic factors of the one-loop and two-loop mass...	Introduction 1 2. Zero mode integration 2 2.1 Symmetry considerations and tensorial formulae 3 2.2 A spinorial formula 5 2.3 Component-based approach 7 3. One-loop amplitudes 7 3.1 Review: four bosons 8 3.2 Four fermions 10 3.3 Two bosons, two fermions 10 4. Two-loop amplitudes 12 4.1 Review: four bosons 13 4.2 Four fe...
704.0016	Lifetime of doubly charmed baryons Chao-Hsi Chang1,2 ∗, Tong Li3†, Xue-Qian Li3‡ and Yu-Ming Wang4§ 1CCAST (World Laboratory), P.O.Box 8730, Beijing 100080, P.R. China 2Institute of Theoretical Physics, Chinese Academy of Sciences, P.O.Box 2735, Beijing 100080, P.R. China 3 Department of Physics, Nankai University, Tia...	In this work, we evaluate the lifetimes of the doubly charmed baryons $\Xi_{cc}^{+}$, $\Xi_{cc}^{++}$ and $\Omega_{cc}^{+}$. We carefully calculate the non-spectator contributions at the quark level where the Cabibbo-suppressed diagrams are also included. The hadronic matrix elements are evaluated in the simple non-r...	Introduction Formulation for Lifetimes of cc+, cc++, cc+ Spectator Contribution to Lifetimes of cc+, cc++, cc+ Non-spectator Contributions to Inclusive Decays of cc+, cc++, cc+ The hadronic matrix elements Input parameters and Numerical results Conclusion and Discussion References
704.0017	Mon. Not. R. Astron. Soc. 000, 000–000 (0000) Printed 30 October 2018 (MN LATEX style file v2.2) Spectroscopic Observations of the Intermediate Polar EX Hydrae in Quiescence N. Mhlahlo1,2⋆, D.A.H. Buckley2, V.S. Dhillon3, S.B. Potter2, B. Warner1 and P.A. Woudt1 1Astronomy Department, University of Cape Town, Rondebosc...	Results from spectroscopic observations of the Intermediate Polar (IP) EX Hya in quiescence during 1991 and 2001 are presented. Spin-modulated radial velocities consistent with an outer disc origin were detected for the first time in an IP. The spin pulsation was modulated with velocities near ~500-600 km/s. These ve...	Introduction Observations And Data Reduction 1991 Observations 2001 Observations The Radial Velocities Period Searches Orbital Variations of the Emission Lines Orbital Tomograms and Trailed Spectra Spin Variations of the Emission lines The Spin Radial Velocity Curve Spin Tomograms and Trailed Spectra Discuss...
704.0018	arXiv:0704.0018v2 [hep-th] 21 Apr 2007 In quest of a generalized Callias index theorem Andreas Gustavsson1 Förstamajgatan 24, S-415 10 Göteborg, Sweden Abstract We give a prescription for how to compute the Callias index, using as regulator an exponential function. We find agreement with old results in all odd dime...	We give a prescription for how to compute the Callias index, using as regulator an exponential function. We find agreement with old results in all odd dimensions. We show that the problem of computing the dimension of the moduli space of self-dual strings can be formulated as an index problem in even-dimensional (loo...	Introduction We do not know what six-dimensional (2, 0) theory really is. It is believed that it can sustain solitonic self-dual strings [1], although no one today knows what a (non-Abelian) self-dual string really is. But if we break the gauge group maximally to U(1)r, then we should be able to define the charges of t...
704.0019	Approximation for extinction probability of the contact process based on the Gröbner basis Norio Konno Department of Applied Mathematics Yokohama National University Abstract. In this note we give a new method for getting a series of approxi- mations for the extinction probability of the one-dimensional contact proces...	In this note we give a new method for getting a series of approximations for the extinction probability of the one-dimensional contact process by using the Gr\"obner basis.	Introduction Let X = {0, 1}Zd denote a configuration space, where Zd is the d-dimensional integer lattices. The contact process {ηt : t ≥ 0} is an X-valued continuous- time Markov process. The model was introduced by Harris in 1974 [1] and is considered as a simple model for the spread of a disease with the infection r...
704.002	BABAR-PUB-07/015 SLAC-PUB-12417 Measurement of the Hadronic Form Factor in D0 → K−e+νe Decays. B. Aubert, M. Bona, D. Boutigny, Y. Karyotakis, J. P. Lees, V. Poireau, X. Prudent, V. Tisserand, and A. Zghiche Laboratoire de Physique des Particules, IN2P3/CNRS et Université de Savoie, F-74941 Annecy-Le-Vieux, France J. ...	The shape of the hadronic form factor f+(q2) in the decay D0 --> K- e+ nue has been measured in a model independent analysis and compared with theoretical calculations. We use 75 fb(-1) of data recorded by the BABAR detector at the PEPII electron-positron collider. The corresponding decay branching fraction, relative...	Introduction The f+(q2) hadronic form factor Form factor parameterizations Taylor expansion Model-dependent parameterizations Quantitative expectations Quark Models QCD sum rules Lattice QCD Analyzed parameterizations The BABAR Detector and Dataset Signal reconstruction Signal selection Background rejectio...
704.0021	Molecular Synchronization Waves in Arrays of Allosterically Regulated Enzymes Vanessa Casagrande,1 Yuichi Togashi,2, ∗ and Alexander S. Mikhailov2, † 1Hahn-Meitner-Institut, Glienicker Straße 100, 14109 Berlin, Germany 2Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany Spatiotempor...	Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations is investigated. Stochastic simulations show that catalytic turnover cycles of individual enzymes can become coherent and that complex wave patterns of molecular synchronization can develop. The analysis based on th...	Molecular Synchronization Waves in Arrays of Allosterically Regulated Enzymes Vanessa Casagrande,1 Yuichi Togashi,2, ∗ and Alexander S. Mikhailov2, † 1Hahn-Meitner-Institut, Glienicker Straße 100, 14109 Berlin, Germany 2Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany Spatiotempor...
704.0022	STOCHASTIC LIE GROUP INTEGRATORS SIMON J.A. MALHAM∗ AND ANKE WIESE∗ Abstract. We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the ma...	We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow on the manifold to the Lie group vi...	Introduction. We are interested in designing Lie group numerical schemes for the strong approximation of nonlinear Stratonovich stochastic differential equa- tions of the form yt = y0 + Vi(yτ , τ) dW τ . (1.1) HereW 1, . . . ,W d are d independent scalar Wiener processes andW 0t ≡ t. We suppose that the solution y evol...
704.0023	Astrophysics and Space Science manuscript No. (will be inserted by the editor) ALMA as the ideal probe of the solar chromosphere Maria A. Loukitcheva · Sami K. Solanki · Stephen White Received: date / Accepted: date Abstract The very nature of the solar chromosphere, its structuring and dynamics, remains far from being...	The very nature of the solar chromosphere, its structuring and dynamics, remains far from being properly understood, in spite of intensive research. Here we point out the potential of chromospheric observations at millimeter wavelengths to resolve this long-standing problem. Computations carried out with a sophistica...	Introduction The chromosphere remains the least understood layer of the solar atmosphere, with the very basics of its struc- ture being hotly debated: is it better described by the classical picture of a steady temperature rise as a func- tion of height, with superposed weak oscillations (e.g. semi empirical models of ...
704.0024	Formation of quasi-solitons in transverse confined ferromagnetic film media A.A. Serga 1 Technische Universität Kaiserslautern, Department of Physics and Forschungsschwerpunkt MINAS, D - 67663 Kaiserslautern, Germany M. Kostylev 2 School of Physics, The University of Western Australia, 35 Stirling Highway, Crawley WA ...	The formation of quasi-2D spin-wave waveforms in longitudinally magnetized stripes of ferrimagnetic film was observed by using time- and space-resolved Brillouin light scattering technique. In the linear regime it was found that the confinement decreases the amplitude of dynamic magnetization near the lateral stripe ...	Formation of quasi-solitons in transverse confined ferromagnetic film media A.A. Serga 1 Technische Universität Kaiserslautern, Department of Physics and Forschungsschwerpunkt MINAS, D - 67663 Kaiserslautern, Germany M. Kostylev 2 School of Physics, The University of Western Australia, 35 Stirling Highway, Crawley WA ...
704.0025	arXiv:0704.0025v1 [cond-mat.str-el] 2 Apr 2007 Spectroscopic Properties of Polarons in Strongly Correlated Systems by Exact Diagrammatic Monte Carlo Method A. S. Mishchenko1,2 and N. Nagaosa3 1 CREST, Japan Science and Technology Agency (JST), AIST, 1-1-1, Higashi, Tsukuba 305-8562, Japan. 2 Russian Research Centre “...	We present recent advances in understanding of the ground and excited states of the electron-phonon coupled systems obtained by novel methods of Diagrammatic Monte Carlo and Stochastic Optimization, which enable the approximation-free calculation of Matsubara Green function in imaginary times and perform unbiased ana...	Introduction Theoretical study of polarons in the strongly correlated system is like an at- tempt to view contents of a Pandora box embedded into another, even more sinister and obscure, container of riddles, enigmas and mysteries. This des- perate situation occurs because solution is not known even for the simplest po...
704.0026	7 Placeholder Substructures II: Meta-Fractals, Made of Box-Kites, Fill Infinite-Dimensional Skies Robert P. C. de Marrais ∗ Thothic Technology Partners, P.O.Box 3083, Plymouth MA 02361 March 2, 2022 Abstract Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N- dimensional hypercomplex numbers (N a power ...	Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches infinite, fractals -- and thereby,scale-free networks. Any integer greater than 8 and not a power of 2 generates a meta-fractal or "Sky" whe...	Introduction By Way of Reprise: From Box-Kites to ETs The creation of 2N-dimensional analogues of Complex Numbers (and it was not a trivial insight of 19th Century algebra that legitimate analogs always have dimen- sion a power of 2) is handled by a now well-known algorithm called the Cayley- Dickson Process (CDP). Its...
704.0027	Filling-Factor-Dependent Magnetophonon Resonance in Graphene M. O. Goerbig,1 J.-N. Fuchs,1 K. Kechedzhi,2 and Vladimir I. Fal’ko2 Laboratoire de Physique des Solides, Univ. Paris-Sud, CNRS UMR 8502, F-91405 Orsay, France and Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom (Dated: October...	We describe a peculiar fine structure acquired by the in-plane optical phonon at the Gamma-point in graphene when it is brought into resonance with one of the inter-Landau-level transitions in this material. The effect is most pronounced when this lattice mode (associated with the G-band in graphene Raman spectrum) i...	Filling-Factor-Dependent Magnetophonon Resonance in Graphene M. O. Goerbig,1 J.-N. Fuchs,1 K. Kechedzhi,2 and Vladimir I. Fal’ko2 Laboratoire de Physique des Solides, Univ. Paris-Sud, CNRS UMR 8502, F-91405 Orsay, France and Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom (Dated: October...
704.0028	Pfa�ans, hafnians and produ ts of real linear fun tionals Péter E. Frenkel Alfréd Rényi Institute of Mathemati s Hungarian A ademy of S ien es P.O.B. 127, 1364 Budapest, Hungary frenkelp�renyi.hu Abstra t We prove pfa�an and hafnian versions of Lieb's inequalities on deter- minants and permanents of positive semi-de�ni...	We prove pfaffian and hafnian versions of Lieb's inequalities on determinants and permanents of positive semi-definite matrices. We use the hafnian inequality to improve the lower bound of R\'ev\'esz and Sarantopoulos on the norm of a product of linear functionals on a real Euclidean space (this subject is sometimes ...	Pfa�ans, hafnians and produ ts of real linear fun tionals Péter E. Frenkel Alfréd Rényi Institute of Mathemati s Hungarian A ademy of S ien es P.O.B. 127, 1364 Budapest, Hungary frenkelp�renyi.hu Abstra t We prove pfa�an and hafnian versions of Lieb's inequalities on deter- minants and permanents of positive semi-de�ni...
704.0029	Understanding the Flavor Symmetry Breaking and Nucleon Flavor-Spin Structure within Chiral Quark Model Zhan Shu, Xiao-Lin Chen, and Wei-Zhen Deng∗ Department of Physics, Peking University, Beijing 100871, China Abstract In χQM, a quark can emit Goldstone bosons. The flavor symmetry breaking in the Goldstone boson emiss...	In $\XQM$, a quark can emit Goldstone bosons. The flavor symmetry breaking in the Goldstone boson emission process is used to intepret the nucleon flavor-spin structure. In this paper, we study the inner structure of constituent quarks implied in $\XQM$ caused by the Goldstone boson emission process in nucleon. From ...	Understanding the Flavor Symmetry Breaking and Nucleon Flavor-Spin Structure within Chiral Quark Model Zhan Shu, Xiao-Lin Chen, and Wei-Zhen Deng∗ Department of Physics, Peking University, Beijing 100871, China Abstract In χQM, a quark can emit Goldstone bosons. The flavor symmetry breaking in the Goldstone boson emiss...
704.003	Tuning correlation effects with electron-phonon interactions J.P.Hague and N.d’Ambrumenil Department of Physics, University of Warwick, CV4 7AL, U.K. We investigate the effect of tuning the phonon energy on the correlation ef- fects in models of electron-phonon interactions using DMFT. In the regime where itinerant ele...	We investigate the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron-phonon driven correlations and static distortions compete on similar energy scales, we find several interesting results...	Introduction Mounting experimental evidence from high-Tc cuprates 1, nickelates 2, manganites 3,4 and other interesting materials suggests that large electron- phonon interactions may play a more important role in the physics of strongly correlated electron systems than previously thought. Migdal-Eliashberg and BCS the...
704.0031	Microsoft Word - Diffraction-Arxiv Crystal channeling of LHC forward protons with preserved distribution in phase space V.M. Biryukov♦ Institute for High Energy Physics, Protvino, 142281, Russia Abstract We show that crystal can trap a broad (x, x', y, y', E) distribution of particles and channel it preserved with a hi...	We show that crystal can trap a broad (x, x', y, y', E) distribution of particles and channel it preserved with a high precision. This sampled-and-hold distribution can be steered by a bent crystal for analysis downstream. In simulations for the 7 TeV Large Hadron Collider, a crystal adapted to the accelerator lattic...	Introduction A particle entering the crystal lattice parallel to a major crystallographic direction can be captured and channeled by the lattice along a crystal axis or plane [1]. For instance, a positive particle can be channeled between adjacent atomic planes. In a bent crystal, the channeled particles can follow the...
704.0032	IFIC/07-03 Probing non-standard neutrino interactions with supernova neutrinos A. Esteban-Pretel, R. Tomàs and J. W. F. Valle1 1AHEP Group, Institut de F́ısica Corpuscular - C.S.I.C/Universitat de València Edifici Instituts d’Investigació, Apt. 22085, E-46071 València, Spain (Dated: November 4, 2018) We analyze the...	We analyze the possibility of probing non-standard neutrino interactions (NSI, for short) through the detection of neutrinos produced in a future galactic supernova (SN).We consider the effect of NSI on the neutrino propagation through the SN envelope within a three-neutrino framework, paying special attention to the...	IFIC/07-03 Probing non-standard neutrino interactions with supernova neutrinos A. Esteban-Pretel, R. Tomàs and J. W. F. Valle1 1AHEP Group, Institut de F́ısica Corpuscular - C.S.I.C/Universitat de València Edifici Instituts d’Investigació, Apt. 22085, E-46071 València, Spain (Dated: November 4, 2018) We analyze the...
704.0033	Convergence of the Discrete Dipole Approximation Convergence of the discrete dipole approximation. I. Theoretical analysis. Maxim A. Yurkin Faculty of Science, Section Computational Science, of the University of Amsterdam, Kruislaan 403, 1098 SJ, Amsterdam, The Netherlands Institute of Chemical Kinetics and Combus...	We performed a rigorous theoretical convergence analysis of the discrete dipole approximation (DDA). We prove that errors in any measured quantity are bounded by a sum of a linear and quadratic term in the size of a dipole d, when the latter is in the range of DDA applicability. Moreover, the linear term is significa...	Introduction The discrete dipole approximation (DDA) is a well-known method to solve the light scattering problem for arbitrary shaped particles. Since its introduction by Purcell and Pennypacker1 it has been improved constantly. The formulation of DDA summarized by Draine and Flatau2 more than 10 years ago is stil...
704.0034	Microsoft Word - NatureCorrespondJasmitedit.rtf Sent to Nature in 1990 Abstract This is a supplement to the paper arXiv:q-bio/0701050, containing the text of correspondence sent to Nature in 1990. Origin of adaptive mutants: a quantum measurement? Sir, - Several recent works described non-random induction of ad...	This is a supplement to the paper arXiv:q-bio/0701050, containing the text of correspondence sent to Nature in 1990.	Microsoft Word - NatureCorrespondJasmitedit.rtf Sent to Nature in 1990 Abstract This is a supplement to the paper arXiv:q-bio/0701050, containing the text of correspondence sent to Nature in 1990. Origin of adaptive mutants: a quantum measurement? Sir, - Several recent works described non-random induction of ad...
704.0035	Microsoft Word - DDAextrapolation_preprint.doc Convergence of the discrete dipole approximation. II. An extrapolation technique to increase the accuracy. Maxim A. Yurkin Faculty of Science, Section Computational Science, of the University of Amsterdam, Kruislaan 403, 1098 SJ, Amsterdam, The Netherlands Institute ...	We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many different discretizations. The quality of the extrapolation improves with refin...	Introduction The discrete dipole approximation (DDA) is a well-known method to solve the light scattering problem for arbitrary shaped particles. Since its introduction by Purcell and Pennypacker1 it has been improved constantly. The formulation of DDA summarized by Draine and Flatau2 more than 10 years ago is stil...
704.0036	A remark on the number of steady states in a multiple futile cycle Liming Wang and Eduardo D. Sontag Department of Mathematics Rutgers University, New Brunswick, NJ, USA Abstract The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly used in cell signaling. This motif itself can generate a variety ...	The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly used in cell signaling. This motif itself can generate a variety of dynamic behaviors like bistability and ultrasensitivity without direct positive feedbacks. In this paper, we study the number of positive steady states of a general multisite...	Introduction A promising approach to handling the complexity of cell signaling pathways is to decompose pathways into small motifs, and analyze the individual motifs. One particular motif that has attracted much attention in recent years is the cycle formed by two or more inter-convertible forms of one protein. The pro...
704.0037	The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength M.A. Yurkina,b∗, V.P. Maltsevb,c, and A.G. Hoekstraa∗ a Section Computational Science, Fac...	In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available DDA computer program that processes the large number of dipoles required for ...	Introduction The discrete dipole approximation (DDA) is a general method to calculate scattering and absorption of electromagnetic waves by particles of arbitrary geometry and composition. The DDA was first proposed by Purcell and Pennypacker [1] and was reviewed by Draine and Flatau in 1994 [2]. A recent review [3...
704.0038	The discrete dipole approximation: an overview and recent developments M.A. Yurkina,b,∗ and A.G. Hoekstraa a Section Computational Science, Faculty of Science, University of Amsterdam, Kruislaan 403, 1098 SJ, Amsterdam, The Netherlands b Institute of Chemical Kinetics and Combustion, Siberian Branch of the Russian ...	We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the viewpoint of a general framework based on the integral equations for the electric ...	Introduction ......................................................................................................................... 2 2 General framework.............................................................................................................. 3 3 Various DDA models ...............................
704.0039	Scalar radius of the pion and zeros in the form factor José A. Oller and Luis Roca Departamento de F́ısica. Universidad de Murcia. E-30071, Murcia. Spain. oller@um.es , luisroca@um.es Abstract The quadratic pion scalar radius, 〈r2〉πs , plays an important role for present precise deter- minations of ππ scattering. Rece...	The quadratic pion scalar radius, \la r^2\ra^\pi_s, plays an important role for present precise determinations of \pi\pi scattering. Recently, Yndur\'ain, using an Omn\`es representation of the null isospin(I) non-strange pion scalar form factor, obtains \la r^2\ra^\pi_s=0.75\pm 0.07 fm^2. This value is larger than t...	Introduction The scalar form factor of the pion, Γπ(t), corresponds to the matrix element Γπ(t) = d4x e−i(q ′−q)x〈π(q′)\| muū(x)u(x) +mdd̄(x)d(x) \|π(q)〉 , t = (q′ − q)2 . (1.1) Performing a Taylor expansion around t = 0, Γπ(t) = Γπ(0) t〈r2〉πs +O(t2) , (1.2) where 〈r2〉πs is the quadratic scalar radius of the pion. The q...
704.004	arXiv:0704.0040v3 [math.OA] 5 Sep 2008 MULTILINEAR FUNCTION SERIES IN CONDITIONALLY FREE PROBABILITY WITH AMALGAMATION MIHAI POPA Abstract. As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectati...	As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditi...	Introduction The paper addresses a topic related to conditionally free (or, shortly, using the term from [2], c-free) probability. This notion was developed in the ’90’s (see [1], [2]) as an extension of freeness within the framework of ∗-algebras endowed with not one, but two states. Namely, given a family of unital a...
704.0041	arXiv:0704.0041v4 [math.QA] 26 Oct 2007 Quantum Group of Isometries in Classical and Noncommutative Geometry Debashish Goswami 1 Stat-Math Unit, Kolkata Centre, Indian Statistical Institute 203, B. T. Road, Kolkata 700 108, India Abstract We formulate a quantum generalization of the notion of the group of Riemannian ...	We formulate a quantum generalization of the notion of the group of Riemannian isometries for a compact Riemannian manifold, by introducing a natural notion of smooth and isometric action by a compact quantum group on a classical or noncommutative manifold described by spectral triples, and then proving the existence...	Introduction Since the formulation of quantum automorphism groups by Wang ([15], [16]), following suggestions of Alain Connes, many interesting examples of such quantum groups, particularly the quantum permutation groups of finite sets and finite graphs, have been extensively studied by a number of mathe- maticians (se...
704.0042	Microsoft Word - Like-QuantumSemantics.doc General System theory, Like-Quantum Semantics and Fuzzy Sets Ignazio Licata Isem, Institute for Scientific Methodology, Pa, Italy Ignazio.licata@ejtp.info Abstract: It is outlined the possibility to extend the quantum formalism in relation to the requirements of the ge...	It is outlined the possibility to extend the quantum formalism in relation to the requirements of the general systems theory. It can be done by using a quantum semantics arising from the deep logical structure of quantum theory. It is so possible taking into account the logical openness relationship between observer ...	Microsoft Word - Like-QuantumSemantics.doc General System theory, Like-Quantum Semantics and Fuzzy Sets Ignazio Licata Isem, Institute for Scientific Methodology, Pa, Italy Ignazio.licata@ejtp.info Abstract: It is outlined the possibility to extend the quantum formalism in relation to the requirements of the ge...
704.0043	Nonequilibrium entropy limiters in lattice Boltzmann methods 1 R. A. Brownlee, A. N. Gorban ∗, J. Levesley Department of Mathematics, University of Leicester, Leicester LE1 7RH, UK Abstract We construct a system of nonequilibrium entropy limiters for the lattice Boltz- mann methods (LBM). These limiters erase spurious ...	We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not affect smooth solutions. In general, they do the same work for LBM as flux limiters do for finite differences, finite volumes and finite e...	Introduction In 1959, S.K. Godunov [17] demonstrated that a (linear) scheme for a PDE could not, at the same time, be monotone and second order accurate. Hence, ∗ Corresponding author. Email addresses: r.brownlee@mcs.le.ac.uk (R. A. Brownlee), a.gorban@mcs.le.ac.uk (A. N. Gorban), j.levesley@mcs.le.ac.uk (J. Levesley)....