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December 2006 arXiv papers — page 43

Showing 4,2014,300 of 4,461 papers

  1. Ivan B. Damgaard, Serge Fehr, Renato Renner, Louis Salvail

    We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quantum 1-out-of-2 Oblivious Transfer and quantum Bit Commitment are presented and the uncertainty relation is used to prove the security of these protocols in the bounded quantum-stora

  2. A. Shailos, W. Nativel, A. Kasumov, C. Collet

    We have investigated electronic transport of few-layer-graphene (FLG) connected to superconducting electrodes. The device is prepared by mechanical exfoliation of graphite. A small mesa of FLG is placed on the surface of an insulating Alumina layer over silicon substrate, and is connected with two tungsten electrodes, separated by 2.5 microns, grown by focus

  3. Qingtao Chen, Fei Han

    In this note, we prove that the Witten genus of nonsingular string complete intersections in product of complex projective spaces vanishes. Our result generalizes a known result of Landweber and Stong (cf. [HBJ]).

  4. F. Ciccarello, G. M. Palma, M. Zarcone

    We investigate the Aharonov-Bohm (AB) interference pattern in the electron transmission through a mesoscopic ring in which two identical non-interacting magnetic impurities are embedded. Adopting a quantum waveguide theory, we derive the exact transmission probability amplitudes and study the influence of maximally entangled states of the impurity spins on t

  5. Dimitar Bakalov, Eberhard Widmann

    Recent progress in the spectroscopy of antiprotonic helium has allowed for measuring the separation between components of the hyperfine structure (HFS) of the (37,35) metastable states with an accuracy of 300 MHz, equivalent to a relative accuracy of 3x10^{-5}. The analysis of the uncertainties of the available theoretical results on the antiprotonic helium

  6. C. Bambi, A. D. Dolgov, K. Freese

    In models with the fundamental gravity scale in the TeV range, early cosmology is quite different from the standard picture, because the universe must have arisen at a much lower temperature and the electroweak symmetry was probably never restored. In this context, baryogenesis appears to be problematic: if the involved physics is essentially that of the Sta

  7. Hirokazu Nishimura

    In our [Higher-order preconnections in synthetic differential geometry of jet bundles, Beiträge zur Algebra und Geometrie, 45 (2004), 677-696] we have established the affine bundle theorem in the synthetic approach to jet bundles in terms of infinitesimal spaces Dⁿ's. In our succeeding [Synthetic differential geometry of higher-order total differen

  8. Saugata Basu

    In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of $n$ definable sets belonging to some fixed definable family of sets in an o-minimal structure. This generalizes the combinatorial parts of similar bounds known in the case of semi-algebraic and semi-Pfaffian sets, and as a result vastly increases t

  9. Codina Cotar, Vlada Limic

    We consider a class of strongly edge-reinforced random walks, where the corresponding reinforcement weight function is nondecreasing. It is known, from Limic and Tarrès [Ann. Probab. (2007), to appear], that the attracting edge emerges with probability 1 whenever the underlying graph is locally bounded. We study the asymptotic behavior of the tail distributi

  10. A. A. Usmani, Z. Hasan

    Fully correlated study of $_{ΛΛ} ^6$He hypernucleus has been performed with two- and three- baryon potentials. For the S=-2 sector, various simulations of Nijmegen $ΛΛ$ potential models have been used. We investigate the role of every strength of the strange sector potentials on the energy breakdown and present a crystal clear understanding of their interpla

  11. Eunja Ha, Dongwoo Cha

    We report empirical findings that a simple formula in terms of the mass number $A$, the valence proton number $N_p$, and the valence neutron number $N_n$ can describe the essential trends of excitation energies $E_x$ of the first $2^+$ and $3^-$ states in even-even nuclei throughout the periodic table. The formula reads as $E_x = αA^{-β} + \exp (- λN_p) + \e

  12. Elchanan Mossel, Sebastien Roch

    We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks. A social network can be represented by a directed graph where the nodes are individuals and the edges indicate a form of social relationship. A simple way to model the diffusion of ideas, innovative behavior, or ``word-of-mouth'' effe

  13. Ghi R. Shin, Kang S. Lee

    We study the initial distribution of a parton system which is formed just after relativistic heavy ion collision by the elastic scattering among the constituent partons in details and analyze the baryon and strangeness contents of the primary parton system. We present the rapidity and energy distributions of the system.

  14. Matt DeVos, Luis Goddyn, Bojan Mohar, Robert Samal

    Let A be a finite nonempty subset of an additive abelian group G, and let Σ(A) denote the set of all group elements representable as a sum of some subset of A. We prove that |Σ(A)| >= |H| + 1/64 |A H|^2 where H is the stabilizer of Σ(A). Our result implies that Σ(A) = Z/nZ for every set A of units of Z/nZ with |A| >= 8 \sqrt{n}. This consequence was first pr

  15. Bobby E. Gunara, Freddy P. Zen, Arianto

    We study BPS domain walls of N=1 supergravity coupled to a chiral multiplet and their Lorentz invariant vacua which can be viewed as critical points of BPS equations and the scalar potential. Supersymmetry further implies that gradient flows of BPS equations controlled by a holomorphic superpotential and the Kaehler geometry are unstable near local maximum o

  16. Benjamin Texier, Kevin Zumbrun

    Extending our previous results for artificial viscosity systems, we show, under suitable spectral hypotheses, that shock wave solutions of compressible Navier--Stokes (cNS) and magnetohydrodynamics (MHD) equations undergo Hopf bifurcation to nearby time-periodic solutions. The main new difficulty associated with physical viscosity and the corresponding absen

  17. Sara C. Billey, Brant C. Jones

    The Kazhdan-Lusztig polynomials for finite Weyl groups arise in the geometry of Schubert varieties and representation theory. It was proved very soon after their introduction that they have nonnegative integer coefficients, but no completely combinatorial interpretation for them is known in general. Deodhar (1990) has given a framework for computing the Kazh

  18. Vernon Barger, Tao Han, Devin G. E. Walker

    We study top quark pair production to probe new physics at the LHC. We propose reconstruction methods for $t\bar{t}$ semileptonic events and use them to reconstruct the $t\bar{t}$ invariant mass. The angular distribution of top quarks in their c.m. frame can determine the spin and production subprocess for each new physics resonance. Forward-backward asymmet

  19. Ian T. Durham

    Bell's inequalities in the form given by Wigner are derived from the so-called fundamental assumption of statistical mechanics. I then demonstrate the possible relationship between these inequalities and the second law, particularly if assuming the Pauli exclusion principle dictates the expected outcomes.

  20. A. V. Korol, A. V. Solov'yov, Walter Greiner, .

    We report the results of theoretical and numerical analysis of the crystalline undulators planned to be used in the experiments which are the part of the ongoing PECU project [1]. The goal of such an analysis was to define the parameters (different from those pre-set by the experimental setup) of the undulators which ensure the highest yield of photons of sp

  21. Scott Pratt

    I review the prospects for measuring source characteristics from correlations other than those involving identical pions. Correlations generated from Coulomb and strong interactions are shown to provide remarkable resolving power for determining three-dimensional information, in some cases accessing more detail than can be represented by Gaussian fits.

  22. A. A. Usmani, F. C. Khanna

    Variational study of $_Λ^5$He hypernucleus is presented using a realistic Hamiltonian and a fully correlated wave function including $ΛN$ space-exchange correlation. Behaviour of the $Λ$-separation energy ($B_Λ$) with two- and three- baryon potential strengths is thoroughly investigated. Solutions of the potential strengths giving experimental $B_Λ$ are pres

  23. E. A. Benjamim, A. Lepine-Szily, D. R. Mendes Junior, R. Lichtenthaler

    The elastic scattering of the radioactive halo nucleus 6He on 27Al target was measured at four energies close to the Coulomb barrier using the RIBRAS (Radioactive Ion Beams in Brazil) facility. The Sao Paulo Potential(SPP) was used and its diffuseness and imaginary strength were adjusted to fit the elastic scattering angular distributions. Reaction cross-sec

  24. Sergey E. Derkachov, Alexander N. Manashov

    The problem of constructing the $SL(N,\mathbb{C})$ invariant solutions to the Yang-Baxter equation is considered. The solutions ($\mathcal{R}$-operators) for arbitrarily principal series representations of $SL(N,\mathbb{C})$ are obtained in an explicit form. We construct the commutative family of the operators $\mathcal{Q}_k(u)$ which can be identified with

  25. A. A. Zheltukhin

    We introduce the $θ$-twistor which is a new supersymmetric generalization of the Penrose twistor and is also alternative to the supertwistor. The $θ$-twistor is a triple of {\it spinors} including the spinor $θ$ extending the Penrose's double of spinors. Using the $θ$-twistors yields an infinite chain of massless higher spin chiral supermultiplets $({1/2

  26. Florentin Smarandache

    In this paper one extends the binomial and trinomial coefficients to the concept of 'k-nomial' coefficients, and one obtains some properties of these. As an application one generalizes Pascal's triangle.

  27. Amitava Bhattacharya, Shmuel Friedland, Uri N. Peled

    We determine the extreme points and facets of the convex hull of all dual degree partitions of simple graphs on $n$ vertices.

  28. Ruiming Zhang

    In this work we study the Plancherel-Rotach type asymptotics for Ismail-Masson orthogonal polynomials with complex scaling. The main term of the asymptotics contains Ramanujan function $A_{q}(z)$ for the scaling parameter on the vertical line $\Re(s)={1/2}$, while the main term of the asymptotics involves the theta functions for the scaling parameter in the

  29. Ruiming Zhang

    In this work we study the Plancherel-Rotach type asymptotics for $q$-Laguerre orthogonal polynomials with complex scaling . The main term of the asymptotics contains Ramanujan function $A_{q}(z)$ for the scaling parameter on the vertical line $\Re(s)=2$, while the main term of the asymptotics involves the theta function for the scaling parameter in the strip

  30. Ruiming Zhang

    In this work we study the Plancherel-Rotach type asymptotics for Stieltjes-Wigert orthogonal polynomials with complex scaling. The main term of the asymptotics contains Ramanujan function $A_{q}(z)$ for the scaling parameter on the vertical line $\Re(s)=2$, while the main term of the asymptotics involves the theta functions for the scaling parameter in the s

  31. Florentin Smarandache

    In this article one builds a class of recursive sets, one establishes properties of these sets, and one proposes applications.

  32. T. Dokchitser, V. Dokchitser

    To determine the global root number of an elliptic curve defined over a number field, one needs to understand all the local root numbers. These have been classified except at places above 2, and in this paper we attempt to complete the classification. At places above 2, we express the local root numbers in terms of norm residue symbols (resp. root numbers of

  33. Hirokazu Nishimura

    Groupoids provide a more appropriate framework for differential geometry than principal bundles. Synthetic differential geometry is the avant-garde branch of differential geometry, in which nilpotent infinitesimals are available in abundance. The principal objective in this paper is to show within our favorite framework of synthetic differential geometry tha

  34. Hans J. H. Tuenter

    We show that a concavity property of the exponential function is a direct consequence of the convexity of the continued Erlang loss function.

  35. Guang Yuan Zhang

    Let $Δ^{2}$ be a ball in the complex vector space $\mathbb{C}^{2}$ centered at the origin, let $f:Δ^{2}\to \mathbb{C}^{2}$ be a holomorphic mapping$,$ with $f(0)=0$, and let $M$ be a positive integer. If the origin 0 is an isolated fixed point of the $M$ th iteration $f^{M}$ of $f,$ then one can define the number $\mathcal{O}_{M}(f,0)$ of periodic orbits of

  36. Z. Hasan, A. Kasouha

    Many finite groups, including all finite non-abelian simple groups, can be symmetrically generated by involutions. In this paper we give an algorithm to symmetrically represent elements of finite groups and to transform symmetrically represented elements in terms of their permutation representation. In particular, we represent elements of the group $U_3(3) :

  37. Steven G. Krantz, Harold R. Parks

    The authors study the classical Lagrange inversion theorem--an antecedent of the modern implicit function theorem--in the smooth case. Examples are given to show that the result is sharp.

  38. M. Brozos-Vazquez, M. A. Campo-Cabana, J. C. Diaz-Ramos, J. Gonzalez-Diaz

    In this paper we bring a novel approach to the theory of tournament rankings. We combine two different theories that are widely used to establish rankings of populations after a given tournament. First, we use the statistical approach of paired comparison analysis to define the performance of a player in a natural way. Then, we determine a ranking (and ratin

  39. Kenley Jung

    Suppose $M$ is a tracial von Neumann algebra embeddable into $\mathcal R^ω$ (the ultraproduct of the hyperfinite $II_1$-factor) and $X$ is an $n$-tuple of selfadjoint generators for $M$. Denote by $Γ(X;m,k,γ)$ the microstate space of $X$ of order $(m,k,γ)$. We say that $X$ is tubular if for any $ε>0$ there exist $m \in \mathbb N$ and $γ>0$ such that if $(x_1

  40. Joao Nuno Prata, Nuno Costa Dias

    We address the question of the appearence of ordinary quantum mechanics in the context of noncommutative quantum mechanics. We obtain the noncommutative extension of the Hu-Paz-Zhang master equation for a Brownian particle linearly coupled to a bath of harmonic oscillators. We consider the particular case of an Ohmic regime.

  41. Mu-Chun Chen, Andre de Gouvea, Bogdan A. Dobrescu

    We show that under a new U(1) gauge symmetry, which is non-anomalous in the presence of one ``right-handed neutrino'' per generation and consistent with the standard model Yukawa couplings, the most general fermion charges are determined in terms of four rational parameters. This generalization of the B-L symmetry with generation-dependent lepton cha

  42. Sergei Kopeikin, Igor Vlasov

    First post-Newtonian (PN) approximation of the scalar-tensor theory of gravity is used to discuss the effacing principle in N-body system, that is dependence of equations of motion of spherically-symmetric bodies comprising the system on their internal structure. We demonstrate that the effacing principle is violated by terms which are proportional to the se

  43. Mark J Hadley

    There is a deep structural link between acausal spacetimes and quantum theory. As a consequence quantum theory may resolve some "paradoxes" of time travel. Conversely, non-time-orientable spacetimes naturally give rise to electric charges and spin half. If an explanation of quantum theory is possible, then general relativity with time travel could be

  44. G. de Loubens, G. D. Chaves, A. D. Kent, C. Ramsey

    Integrated magnetic sensors that allow simultaneous EPR and magnetization measurements have been developed to study single molecule magnets. A high frequency microstrip resonator has been integrated with a micro-Hall effect magnetometer. EPR spectroscopy is used to determine the energy splitting between the low lying spin-states of a Ni$_4$ single crystal, w

  45. Liliana Arrachea, Michael Moskalets, Luis Martin-Moreno

    We present a formalism to study the heat transport and the power developed by the local driving fields on a quantum system coupled to macroscopic reservoirs. We show that, quite generally, two important mechanisms can take place: (i) directed heat transport between reservoirs induced by the ac potentials and (ii) at slow driving, two oscillating out of phase

  46. Thoa T. M. Nguyen, Andrew J. Sederman, Mick D. Mantle, Lynn F. Gladden

    The dynamics of granular materials, mostly radial and axial segregation in horizontal rotating cylinders filled with millet and poppy seeds, is studied by Magnetic Resonance Imaging (MRI). For the first time, full 3D structures and real-time 2D MRI movies showing the progress of segregation over many hours are reported. Data are acquired with sufficiently hi

  47. Shinobu Ohya, Kenichi Ohno, Masaaki Tanaka

    We have studied the magneto-optical and magnetotrasnport properties of GaMnAs thin films with high Mn concentrations (x= 12.2 - 21.3%) grown by molecular-beam epitaxy. These heavily Mn-doped GaMnAs films were formed by decreasing the growth temperature to as low as 150-190 degree C and by reducing the film thickness to 10 nm in order to prevent precipitation

  48. D. Cangialosi, A. Alegria, J. Colmenero

    The occurrence of glass transition is believed to be associated to cooperative motion with a growing length scale with decreasing temperature. We provide a novel route to calculate the size of cooperatively rearranging regions CRR of glass-forming polymers combining the Adam-Gibbs theory of the glass transition with the self-concentration concept. To do so w

  49. Grzegorz Litak, Karol I. Wysokinski

    The effect of magnetic field on specific heat of a p-wave spin triplet superconductor has been analyzed. To describe superconductivity we used a single band model with various realizations of p-wave order parameter and analyzed the effect of a Doppler shift in different temperatures.

  50. Mengbo Luo, Xiao Hu

    Using dynamical computer simulation we have investigated vortex matters in glass states. A genuine continuous depinning transition is observed at zero temperature, which also governs the low-temperature creep motion. With the notion of scaling, we evaluate in high accuracy critical exponents and scaling functions; we observe a non-Arrhenius creep motion for

  51. K. Sano, Y. Ono

    We propose a new combined approach of the exact diagonalization, the renormalization group and the Bethe ansatz for precise estimates of the charge gap $Δ$ in the one-dimensional extended Hubbard model with the onsite and the nearest-neighbor interactions $U$ and $V$ at quarter filling. This approach enables us to obtain the absolute value of $Δ$ including t

  52. Luis F. Rodriguez, Luis A. Zapata, Paul T. P. Ho

    We present sensitive, high angular resolution 1.3 cm and 7 mm observations of the massive core NGC 6334 I(N), a region known to be undergoing massive star formation. At 1.3 cm we detect three sources, of which two had been previously detected at centimeter or millimeter wavelengths. At 7 mm we detect four sources. We suggest that three of these sources are s

  53. Jean-Paul Zahn

    To be published in the proceedings of IAU Symposium 239 "Convection in Astrophysics" (ed. F. Kupka, I. W. Roxburgh, K. L. Chan). Content: 1. From Nice to Prague, 2. The triumph of 3-D simulations, 3. How to lower the cost - what else can be done? 4. A powerful tool to determine surface abundances, 5. The effects of convection are not confined to conv

  54. F. Weber, R. Negreiros, P. Rosenfield, M. Stejner

    A forefront area of research concerns the exploration of the properties of hadronic matter under extreme conditions of temperature and density, and the determination of the equation of state--the relation between pressure, temperature and density--of such matter. Experimentally, relativistic heavy-ion collision experiments enable physicists to cast a brief g

  55. Charles T. Liu, Eric J. Hooper, Karen O'Neil, David Thompson

    We present multiwavelength observations of the very luminous "E+A" galaxy known as G515 (J152426.55+080906.7), including deep K_s imaging, spatially resolved H-alpha spectroscopy, and radio observations. The data, together with detailed spectral synthesis of the galaxy's integrated stellar population, show that G515 is a ~1 Gyr old post-merger, p

  56. Claudio M. G. de Sousa

    Some recent results on rotating self-gravitating configurations composed with Bosons and Fermions are reported. Given a star composed of both Bosons and Fermions without interaction, it is shown that it is possible to obtain stable slowly rotating configurations by using the same perturbative relativistic method that usually describes neutron stars.

  57. Spencer R. Klein

    Most cosmic-ray air shower arrays have focused on detecting electromagnetic shower particles and low energy muons. A few groups (most notably MACRO + EASTOP and SPASE + AMANDA) have studied the high energy muon component of showers. However, these experiments had small solid angles, and did not study muons far from the core. The IceTop + IceCube combination,

  58. Ioannis Kontoyiannis, Sean P. Meyn

    Suppose the expectation $E(F(X))$ is to be estimated by the empirical averages of the values of $F$ on independent and identically distributed samples $\{X_i\}$. A sampling rule called the "screened" estimator is introduced, and its performance is studied. When the mean $E(U(X))$ of a different function $U$ is known, the estimates are "screened,&

  59. Radu Balan, Zeph Landau

    This paper addresses the natural question: ``How should frames be compared?'' We answer this question by quantifying the overcompleteness of all frames with the same index set. We introduce the concept of a frame measure function: a function which maps each frame to a continuous function. The comparison of these functions induces an equivalence and p

  60. C. F. Perdrisat, V. Punjabi, M. Vanderhaeghen

    There has been much activity in the measurement of the elastic electromagnetic proton and neutron form factors in the last decade, and the quality of the data has been greatly improved by performing double polarization experiments, in comparison with previous unpolarized data. Here we review the experimental data base in view of the new results for the proto

  61. F. W. Stecker, M. A. Malkan, S. T. Scully

    Table 1 in our paper, ApJ 648, 774 (2006) entitled &#34;Intergalactic Photon Spectra from the Far IR to the UV Lyman Limit for 0 < z < 6 and the Optical Depth of the Universe to High Energy Gamma-Rays&#34; had erroneous numbers for the coefficients fitting the parametric form for the optical depth of the universe to gamma-rays. The correct values for these p

  62. Luis Quiroga, Ferney J. Rodriguez, Maria E. Ramirez, Roberto Paris

    Results on heat current, entropy production rate and entanglement are reported for a quantum system coupled to two different temperature heat reservoirs. By applying a temperature gradient, different quantum states can be found with exactly the same amount of entanglement but different purity degrees and heat currents. Furthermore, a nonequilibrium enhanceme

  63. Sukumar Rajauria, P. S. Luo, T. Fournier, F. W. J. Hekking

    We present evidence for the cooling of normal metal phonons by electron tunneling in a Superconductor - Normal metal - Superconductor tunnel junction. The normal metal electron temperature is extracted by comparing the device current-voltage characteristics to the theoretical prediction. We use a quantitative model for the phonon cooling that includes the el

  64. Frank Simon

    We present the first measurement of the cross section and the double longitudinal spin asymmetry of inclusive pi0 production in polarized p+p collisions at Sqrt(s) = 200 GeV at mid-rapidity with the STAR detector, using the barrel electromagnetic calorimeter. The measured cross section is compared to NLO pQCD calculations and can provide constraints on the p

  65. Daniel Malmberg, Melvyn B. Davies, John E. Chambers

    In this letter we consider the evolution of a planetary system around a star inside a wide binary. We simulate numerically the evolution of the planetary orbits for both co-planar and highly-inclined systems. We find that the Kozai mechanism operates in the latter case. This produces a highly eccentric outer planet whose orbit crosses those of some of the in

  66. Giorgio Fagiolo

    This paper proposes a simple procedure to decide whether the empirically-observed adjacency or weights matrix, which characterizes the graph underlying a socio-economic network, is sufficiently symmetric (respectively, asymmetric) to justify an undirected (respectively, directed) network analysis. We introduce a new index that satisfies two main properties.

  67. Krzysztof Belczynski, Ronald E. Taam, Vassiliki Kalogera, Frederic A. Rasio

    Double black hole binaries are among the most important sources of gravitational radiation for ground-based detectors such as LIGO or VIRGO. Even if formed with lower efficiency than double neutron star binaries, they could dominate the predicted detection rates, since black holes are more massive than neutron stars and therefore could be detected at greater

  68. J. Dietel, H. Kleinert

    The theory presented is based on a simple Hamiltonian for a vortex lattice in a weak impurity background which includes linear elasticity and plasticity, the latter in the form of integer valued fields accounting for defects. Within a quadratic approximation in the impurity potential, we find a first-order Bragg-glass, vortex-glass transition line showing a

  69. K. E. Andersson, J. R. Peterson, G. M. Madejski

    We propose a new Monte Carlo method to study extended X-ray sources with the European Photon Imaging Camera (EPIC) aboard {\sl XMM-Newton}. The smoothed particle inference (SPI) technique, described in a companion paper, is applied here to the EPIC data for the clusters of galaxies Abell 1689, Centaurus, and RX J0658-55 (the ``bullet cluster&#39;&#39;). We a

  70. Shuvendu K. Lahiri, Thomas Ball, Byron Cook

    We present a new approach for performing predicate abstraction based on symbolic decision procedures. Intuitively, a symbolic decision procedure for a theory takes a set of predicates in the theory and symbolically executes a decision procedure on all the subsets over the set of predicates. The result of the symbolic decision procedure is a shared expression

  71. Victor Goodman, Kyounghee Kim

    We construct a no-arbitrage model of bond prices where the long bond is used as a numeraire. We develop bond prices and their dynamics without developing any model for the spot rate or forward rates. The model is arbitrage free and all nominal interest rates remain positive in the model. We give examples where our model does not have a spot rate; other examp

  72. Laura Fontanelli, Paolo Lorenzoni, Marco Pedroni, Jorge P. Zubelli

    We study the Harry Dym hierarchy of nonlinear evolution equations from the bi-Hamiltonian view point. This is done by using the concept of an S-hierarchy. It allows us to define a matrix Harry Dym hierarchy of commuting Hamiltonian flows in two fields that projects onto the scalar Harry Dym hierarchy. We also show that the conserved densities of the matrix H

  73. Brendan Farrell, Thomas Strohmer

    Let $\mathbb{H}$ be the general, reduced Heisenberg group. Our main result establishes the inverse-closedness of a class of integral operators acting on $L^{p}(\mathbb{H})$, given by the off-diagonal decay of the kernel. As a consequence of this result, we show that if $α_{1}I+S_{f}$, where $S_{f}$ is the operator given by convolution with $f$, $f\in L^{1}_{

  74. Victor Goodman, Kyounghee Kim

    We find a simple expression for the probability density of $\int \exp (B_s - s/2) ds$ in terms of its distribution function and the distribution function for the time integral of $\exp (B_s + s/2)$. The relation is obtained with a change of measure argument where expectations over events determined by the time integral are replaced by expectations over the e

  75. Donald Marolf

    We argue that any non-gravitational holographic dual to asymptotically flat string theory in $d$-dimensions naturally resides at spacelike infinity. Since spacelike infinity can be resovled as a $(d-1)$-dimensional timelike hyperboloid (i.e., as a copy of de Sitter space in $(d-1)$ dimensions), the dual theory is defined on a Lorentz signature spacetime. Con

  76. A. S. Alexandrov

    We have identified the unscreened Froehlich electron-phonon interaction (EPI) as the most essential for pairing in cuprate superconductors as now confirmed by isotope substitution, recent angle-resolved photoemission (ARPES), and some other experiments. Low-energy physics is that of mobile lattice polarons and bipolarons in the strong EPI regime. Many experi

  77. Adriano Barra, Luca De Sanctis

    We prove that the Aizenman-Contucci relations, well known for fully connected spin glasses, hold in diluted spin glasses as well. We also prove more general constraints in the same spirit for multi-overlaps, systematically confirming and expanding previous results. The strategy we employ makes no use of self-averaging, and allows us to generate hierarchicall

  78. M. A. Barja, L. Stoppino

    Let f :S\to B be a non locally trivial fibred surface. We prove a lower bound for the slope of f depending increasingly from the relative irregularity of f and the Clifford index of the general fibres.

  79. Atish Dabholkar, Davide Gaiotto

    We compute the genus-two chiral partition function of the left-moving heterotic string for a $\mathbb{Z}_2$ CHL orbifold. The required twisted determinants can be evaluated explicitly in terms of the untwisted determinants and theta functions using orbifold techniques. The dependence on Prym periods cancels neatly once summation over odd charges is properly

  80. Changxing Miao, Jiqiang Zheng

    In this paper, we study the global well-posedness and scattering problem in the energy space for both focusing and defocusing the Klein-Gordon-Hartree equation in the spatial dimension $d \geq 3$. The main difficulties are the absence of an interaction Morawetz-type estimate and of a Lorentz invariance which enable one to control the momentum. To compensate,

  81. C. A. Linhares, A. P. C. Malbouisson, I. Roditi

    We show in this paper how to construct Symanzik polynomials and the Schwinger parametric representation of Feynman amplitudes for gauge theories in an unspecified covariant gauge. The complete Mellin representation of such amplitudes is then established in terms of invariants (squared sums of external momenta and squared masses). From the scaling of the inva

  82. Jacques Franchi

    K. Gödel [G1] discovered his celebrated solution to Einstein equations in 1949. Additional contributions were made by Kundt [K] and Hawking-Ellis ([H-E],5.7). On the other hand, a general Lorentz invariant operator, associated to the so-called &#34;relativistic diffusion&#39;&#39;, and making sense in any Lorentz manifold, was introduced by Franchi-Le Jan in

  83. Alexandre Blais, Jay Gambetta, A. Wallraff, D. I. Schuster

    We theoretically study single and two-qubit dynamics in the circuit QED architecture. We focus on the current experimental design [Wallraff et al., Nature 431, 162 (2004); Schuster et al., Nature 445, 515 (2007)] in which superconducting charge qubits are capacitively coupled to a single high-Q superconducting coplanar resonator. In this system, logical gate

  84. Francesco Zamponi

    The theoretical motivations to perform experimental tests of the stationary state fluctuation relation are reviewed. The difficulties involved in such tests, evidenced by numerical simulations, are also discussed.

  85. Tamas Fulop, Izumi Tsutsui

    The paper wishes to demonstrate that, in quantum systems with boundaries, different boundary conditions can lead to remarkably different physical behaviour. Our seemingly innocent setting is a one dimensional potential well that is divided into two halves by a thin separating wall. The two half wells are populated by the same type and number of particles and

  86. R. Temirov, A. C. Lassise, F. Anders, F. S. Tautz

    Conductance measurements of a molecular wire, contacted between an epitaxial molecule-metal bond and the tip of a scanning tunneling microscope, are reported. Controlled retraction of the tip gradually de-hybridizes the molecule from the metal substrate. This tunes the wire into the Kondo regime in which the renormalized molecular transport orbital serves as

  87. A. W. Beckwith

    Primer for how intense graviton production can be obtained in the first 10 to the minus 43 seconds of cosmological inflation. In addition several cosmological models which appear to have conclusions which are orthogonal, i.e. LQG and its quantum bounce and Brane world models which appear to rule out quantum bounce behavior, are shown to in part blend into ea

  88. E. V. Bugaev

    The brief review of modern theoretical models describing the process of the photon absorption by nucleons at superhigh energies of real photons is given. The main aim of the work is an estimation of the theoretical uncertainty of the cross section prediction at photon energies around 10^19-10^20 eV.

  89. Paul McFadden

    In this thesis we study the dynamics of higher-dimensional gravity in a universe emerging from a brane collision. We develop a set of powerful analytic methods which, we believe, render braneworld cosmological perturbation theory solvable. Our particular concern is to determine the extent to which the four-dimensional effective theory accurately captures the

  90. S. Puccetti, F. Fiore, G. Risaliti, M. Capalbi

    We have analyzed the two longest (elapsed time > 3 days) BeppoSAX observations of the X-ray brightest Seyfert galaxy, NGC 4151, to search for spectral variability on time-scales from a few tens of ksec to years. We found in both cases highly significant spectral variability below ~ 6 keV down to the shortest time-scales investigated. These variations can be

  91. Romulus Godang

    We measure the absolute branching fraction for $D0 \to K^{-} \pi^{+}$ using partial reconstruction of $B0bar \to D^{*+} X \ell^{-} \bar{\nu}_{\ell}$ decays. Only the charged lepton and the soft pion from the decay $D^{*+} \to D^{0} \pi^{+}$ are used. Based on a data sample of 230 million BBbar pairs collected at the $\Upsilon(4S)$ resonance with the \babar d

  92. Robert Beig, Piotr T. Chruściel

    We show that stationary, asymptotically flat solutions of the electro-vacuum Einstein equations are analytic at $i^0$, for a large family of gauges, in odd space-time dimensions higher than seven. The same is true in space-time dimension five for static vacuum solutions with non-vanishing mass.

  93. Bjorn Garbrecht

    The one-loop effective potential for a charged scalar field in de Sitter background is studied. We derive an approximate form for the gauge boson propagator with a general covariant gauge-fixing parameter ξ. This expression is used to derive an explicitly gauge-invariant effective potential, which agrees with earlier results obtained in Landau gauge. Adding

  94. Mathias Fuchs

    We give a new proof of the absence of non-trivial idempotents in the group ring of torsion-free cocompact lattices in SL(n,C). It is based on the following procedure. We lift the class of the trace in the cyclic cohomology of the group ring to the crossed product of the smooth functions on the Furstenberg boundary of SL(n,C) with the lattice. We then perform

  95. Andreas Brandhuber, Bill Spence, Gabriele Travaglini

    We show how to calculate the one-loop scattering amplitude with all gluons of negative helicity in non-supersymmetric Yang-Mills theory using MHV diagrams. We argue that the amplitude with all positive helicity gluons arises from a Jacobian which occurs when one performs a Backlund-type holomorphic change of variables in the lightcone Yang-Mills Lagrangian.

  96. Filippo Caruso, Constantino Tsallis

    The Boltzmann-Gibbs-von Neumann entropy of a large part (of linear size L) of some (much larger) d-dimensional quantum systems follows the so-called area law (as for black holes), i.e., it is proportional to $L^{d-1}$. Here we show, for d=1,2, that the (nonadditive) entropy S_q satisfies, for a special value of $q \neq 1$, the classical thermodynamical presc

  97. Stefan Felsner, Clemens Huemer, Sarah Kappes, David Orden

    Motivated by the bijection between Schnyder labelings of a plane triangulation and partitions of its inner edges into three trees, we look for binary labelings for quadrangulations (whose edges can be partitioned into two trees). Our labeling resembles many of the properties of Schnyder's one for triangulations: Apart from being in bijection with tree decomp

  98. Katarzyna Bolonek, Piotr Kosinski

    The structure of Pais-Uhlenbeck oscillator in the equal-frequency limit has been recently studied by Mannheim and Davidson [Phys.Rev. A71 (2005), 042110]. It appears that taking this limit, as presented in the above paper, is quite subtle and the resulting structure of space of states - involved. In order to clarify the situation we present here the proper w

  99. Thomas Hambye, Babiker Hassanain, John March-Russell, Martin Schvellinger

    We study the predictions of holographic QCD for various observable four-point quark flavour current-current correlators. The dual 5-dimensional bulk theory we consider is a $SU(3)_L \times SU(3)_R$ Yang Mills theory in a slice of $AdS_5$ spacetime with boundaries. Particular UV and IR boundary conditions encode the spontaneous breaking of the dual 4D global

  100. S. R. Manmana, S. Wessel, R. M. Noack, A. Muramatsu

    Using the adaptive time-dependent density-matrix renormalization group method, we study the time evolution of strongly correlated spinless fermions on a one-dimensional lattice after a sudden change of the interaction strength. For certain parameter values, two different initial states (e.g., metallic and insulating), lead to observables which become indisti