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Sep 18, 2013
09/13

by
A. Bourque; C. Gale

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An alternative model for the dissociation of the J/psi is proposed. Chiral symmetry is properly implemented. Abnormal parity interactions and mesonic form factors naturally arise from the underlying quark sub-structure. Analytic confinement for the light quarks is generated by appropriately chosen the quark interaction kernels. Dissociation cross sections of the J/psi by either a pion or a rho meson are then evaluated and discussed.

Source: http://arxiv.org/abs/0809.3955v2

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Sep 21, 2013
09/13

by
A. Coley; S. Hervik; G. Papadopoulos; N. Pelavas

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Kundt spacetimes are of great importance in general relativity in 4 dimensions and have a number of topical applications in higher dimensions in the context of string theory. The degenerate Kundt spacetimes have many special and unique mathematical properties, including their invariant curvature structure and their holonomy structure. We provide a rigorous geometrical kinematical definition of the general Kundt spacetime in 4 dimensions; essentially a Kundt spacetime is defined as one admitting...

Source: http://arxiv.org/abs/0901.0394v2

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Sep 22, 2013
09/13

by
A. Fruehbis-Krueger

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Two main algorithmic approaches are known for making Hironaka's proof of resolution of singularities in characteristic zero constructive. Their main difference is the use of different notions of transforms during the resolution process and the use of a stratification by the Hilbert-Samuel function in the one using the strict transform. In this article, a (hybrid-type) algorithmic approach is proposed which allows the use of the strict transform without the full impact of the complexity of the...

Source: http://arxiv.org/abs/0812.1776v2

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Sep 23, 2013
09/13

by
A. Iucci; M. A. Cazalilla

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The dynamics of the Luttinger model and the sine-Gordon model (at the Luther-Emery point and in the semiclassical approximation) after a quantum quench is studied. We compute in detail one and two-point correlation functions for different types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa, and from the gapped to the gapless phase of the sine-Gordon model and vice-versa. A progressive destruction of the Fermi gas features in the momentum distribution is...

Source: http://arxiv.org/abs/0903.1205v2

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Sep 21, 2013
09/13

by
A. K. Kwasniewski

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The way to arrive at formula of zeta matrix for any graded posets with the finite set of minimal elements is delivered following the first reference. This is being achieved via adjacency and zeta matrix description of bipartite digraphs chains, the representatives of graded posets. The bipartite digraphs elements of such chains amalgamate to form corresponding cover relation graded poset digraphs with corresponding adjacency matrices being amalgamated throughout natural join as special adequate...

Source: http://arxiv.org/abs/0901.0155v2

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Sep 23, 2013
09/13

by
A. Morozov; Sh. Shakirov

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The simplest partition function, associated with homogeneous symmetric forms S of degree r in n variables, is integral discriminant J_{n|r}(S) = \int e^{-S(x_1 ... x_n)} dx_1 ... dx_n. Actually, S-dependence remains the same if e^{-S} in the integrand is substituted by arbitrary function f(S), i.e. integral discriminant is a characteristic of the form S itself, and not of the averaging procedure. The aim of the present paper is to calculate J_{n|r} in a number of non-Gaussian cases. Using Ward...

Source: http://arxiv.org/abs/0903.2595v1

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Sep 23, 2013
09/13

by
A. S. Vardanyan; A. A. Kteyan; R. A. Vardanyan

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Within the framework of McLaughlin-Scott perturbation theory the equation-of-motion of the dislocation kink in the pinning potential is linearized, assuming the simultaneous influence of ac and dc forces. Based on the equations derived, the probability of kink depinning was studied. The dependencies of the depinning probability on dc and ac forces are analyzed in details.

Source: http://arxiv.org/abs/0903.2700v1

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Sep 23, 2013
09/13

by
A. V. Sokolov

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In this paper, we continue to study factorization of supersymmetric (SUSY) transformations in one-dimensional Quantum Mechanics into chains of elementary Darboux transformations with nonsingular coefficients. We define the class of potentials that are invariant under the Darboux - Crum transformations and prove a number of lemmas and theorems substantiating the formulated formerly conjectures on reducibility of differential operators for spectral equivalence transformations. Analysis of the...

Source: http://arxiv.org/abs/0903.2835v1

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Sep 22, 2013
09/13

by
A. Y. Abul-Magd; G. Akemann; P. Vivo

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Using Beck and Cohen's superstatistics, we introduce in a systematic way a family of generalised Wishart-Laguerre ensembles of random matrices with Dyson index $\beta$ = 1,2, and 4. The entries of the data matrix are Gaussian random variables whose variances $\eta$ fluctuate from one sample to another according to a certain probability density $f(\eta)$ and a single deformation parameter $\gamma$. Three superstatistical classes for $f(\eta)$ are usually considered: $\chi^2$-, inverse $\chi^2$-...

Source: http://arxiv.org/abs/0811.1992v2

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Sep 21, 2013
09/13

by
A. Yamasaki; S. Imada; K. Takase; T. Muro; Y. Kato; H. Kobori; A. Sugimura; N. Umeyama; H. Sato; Y. Hara; N. Miyakawa; S. I. Ikeda

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We have investigated the electronic structures of newly discovered superconductor FeSe1-x by bulk-sensitive photoemission spectroscopy (PES). The large Fe 3d spectral weight is located in the vicinity of the Fermi level (EF) and it decreases steeply toward EF . Compared with results of band structure calculations, narrowing the Fe 3d band width and the energy shift of the band toward EF are found, suggesting a mass enhancement due to the weak electron correlation effect. Meanwhile, Fe 2p...

Source: http://arxiv.org/abs/0902.3314v3

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Sep 23, 2013
09/13

by
Abedelaziz Mohaisen; Dowon Hong; DaeHun Nyang

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Location based services (LBS) are one of the most promising and innovative directions of convergence technologies resulting of emergence of several fields including database systems, mobile communication, Internet technology, and positioning systems. Although being initiated as early as middle of 1990's, it is only recently that the LBS received a systematic profound research interest due to its commercial and technological impact. As the LBS is related to the user's location which can be used...

Source: http://arxiv.org/abs/0903.2682v1

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Jul 20, 2013
07/13

by
Adam Sierakowski

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Let (A,G) be a C*-dynamical system with G discrete. In this paper we investigate the ideal structure of the reduced crossed product C*-algebra and in particular we determine sufficient - and in some cases also necessary - conditions for A to separate the ideals in Ax_rG. When A separates the ideals in Ax_rG, then there is a one-to-one correspondence between the ideals in Ax_rG and the invariant ideals in A. We extend the concept of topological freeness and present a generalization of the...

Source: http://arxiv.org/abs/0804.3772v2

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Sep 23, 2013
09/13

by
Alexander John; Andreas Schadschneider; Debashish Chowdhury; Katsuhiro Nishinari

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We report experimental results on unidirectional traffic-like collective movement of ants on trails. Our work is primarily motivated by fundamental questions on the collective spatio-temporal organization in systems of interacting motile constituents driven far from equilibrium. Making use of the analogies with vehicular traffic, we analyze our experimental data for the spatio-temporal organisation of the ants on the trail. From this analysis, we extract the flow-density relation as well as the...

Source: http://arxiv.org/abs/0903.2717v1

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Sep 23, 2013
09/13

by
Alexander Makin

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We consider the spectral problem generated by the Sturm-Liouville equation with an arbitrary complex-valued potential q(x) and irregular boundary conditions. We establish necessary and sufficient conditions for a set of complex numbers to be the spectrum of such an operator.

Source: http://arxiv.org/abs/0903.2699v1

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Sep 23, 2013
09/13

by
Anatoly A. Svidzinsky; Marlan O. Scully

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We present analytical solutions for the evolution of collective states of N atoms. On the one hand is a (timed) Dicke state prepared by absorption of a single photon and exhibiting superradiant decay. This is in strong contrast to evolution of a symmetric Dicke state which is trapped for large atomic clouds. We show that virtual processes yield a small effect on the evolution of the rapidly decaying timed Dicke state. However, they change the long time dynamics from exponential decay into a...

Source: http://arxiv.org/abs/0903.2844v1

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Sep 22, 2013
09/13

by
Andreas Luscher; Andreas Laeuchli

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We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In a first part, we calculate the spin-wave velocity, the spin-stiffness, and the magnetic susceptibility and thus determine the microscopic parameters of the low-energy long-wavelength description. In a second part, we present a comprehensive study of dynamical spin correlation functions for magnetic fields ranging from zero up to saturation. We find that...

Source: http://arxiv.org/abs/0812.3420v3

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Sep 23, 2013
09/13

by
Andrew V. Knyazev; Klaus Neymeyr

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Preconditioned eigenvalue solvers (eigensolvers) are gaining popularity, but their convergence theory remains sparse and complex. We consider the simplest preconditioned eigensolver--the gradient iterative method with a fixed step size--for symmetric generalized eigenvalue problems, where we use the gradient of the Rayleigh quotient as an optimization direction. A sharp convergence rate bound for this method has been obtained in 2001--2003. It still remains the only known such bound for any of...

Source: http://arxiv.org/abs/0801.3099v3

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Sep 19, 2013
09/13

by
Andy T. S. Wan; M. H. S. Amin; Shannon X. Wang

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We study the effect of an environment consisting of noninteracting two level systems on Landau-Zener transitions with an interest on the performance of an adiabatic quantum computer. We show that if the environment is initially at zero temperature, it does not affect the transition probability. An excited environment, however, will always increase the probability of making a transition out of the ground state. For the case of equal intermediate gaps, we find an analytical upper bound for the...

Source: http://arxiv.org/abs/cond-mat/0703085v3

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Sep 23, 2013
09/13

by
Arie Leizarowitz

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The paper is concerned with estimating the number of integers smaller than $x$ whose largest prime divisor is smaller than $y$, denoted $\psi (x,y)$. Much of the related literature is concerned with approximating $\psi (x,y)$ by Dickman's function $\rho (u)$, where $u=\ln x/\ln y$. A typical such result is that $$ \psi (x,y)=x\rho (u)(1+o(1)) \eqno (1) $$ in a certain domain of the parameters $x$ and $y$. In this paper a different type of approximation of $\psi (x,y)$, using iterated logarithms...

Source: http://arxiv.org/abs/0903.2712v1

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Sep 22, 2013
09/13

by
Armin Lühr; Alejandro Saenz

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The stopping power of antiprotons in atomic and molecular hydrogen as well as helium was calculated in an impact-energy range from 1 keV to 6.4 MeV. In the case of H2 and He the targets were described with a single-active electron model centered on the target. The collision process was treated with the close-coupling formulation of the impact-parameter method. An extensive comparison of the present results with theoretical and experimental literature data was performed in order to evaluate...

Source: http://arxiv.org/abs/0812.5058v2

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Sep 21, 2013
09/13

by
Arnaud Beauville

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Let S be a complex Enriques surface; it is the quotient of a K3 surface X by a fixed-point-free involution. The Brauer group Br(S) has a unique nonzero element. We describe its pull-back in Br(X), and show that the surfaces S for which it is trivial form a countable union of hypersurfaces in the moduli space of Enriques surfaces.

Source: http://arxiv.org/abs/0902.3721v3

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Sep 21, 2013
09/13

by
Avinash Dhar; Partha Nag

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We discuss chiral symmetry breaking in the intersecting brane model of Sakai and Sugimoto at weak coupling for a generic value of separation $L$ between the flavour $D8$ and anti-$D8$-branes. For any finite value of the radius $R$ of the circle around which the colour $D4$-branes wrap, a non-local Nambu$-$Jona-Lasinio (NJL) type short-range interaction couples the flavour branes and anti-branes. We argue that chiral symmetry is broken in this model only above a certain critical value of the...

Source: http://arxiv.org/abs/0901.4942v2

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Sep 22, 2013
09/13

by
Ayse Arslanargin; Ali Kaya

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We consider early time cosmic evolution in string gas cosmology dominated by open strings attached to D-branes. After reviewing statistical properties of open strings in D-brane backgrounds, we use dilaton-gravity equations to determine the string frame fields. Although, there are distinctions in the Hagedorn regime thermodynamics and dilaton coupling as compared to closed strings, it seems difficult to avoid Jeans instability and assume thermal equilibrium simultaneously, which is already a...

Source: http://arxiv.org/abs/0901.4608v2

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Sep 23, 2013
09/13

by
Babak Vakili

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The effects of noncommutativity and deformed Heisenberg algebra on the evolution of a two dimensional minisuperspace quantum cosmological model are investigated.

Source: http://arxiv.org/abs/0903.2789v1

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Sep 19, 2013
09/13

by
Bas Spitters

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Locatedness is one of the fundamental notions in constructive mathematics. The existence of a positivity predicate on a locale, i.e. the locale being overt, or open, has proved to be fundamental in constructive locale theory. We show that the two notions are intimately connected. Bishop defines a metric space to be compact if it is complete and totally bounded. A subset of a totally bounded set is again totally bounded iff it is located. So a closed subset of a Bishop compact set is Bishop...

Source: http://arxiv.org/abs/math/0703561v2

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Sep 23, 2013
09/13

by
Bogdan Mihaila; Andres Cardenas

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We study the ground-state properties of a dilute gas of strongly-interacting fermions in the framework of the coupled-cluster expansion (CCE). We demonstrate that properties such as universality, opening of a gap in the excitation spectrum and applicability of s-wave approximations appear naturally in the CCE approach. In the zero-density limit, we show that the ground-state energy density depends on only one parameter which in turn may depend at most on the spatial dimensionality of the system.

Source: http://arxiv.org/abs/0903.2786v1

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Sep 23, 2013
09/13

by
Brendon W. Lovett; Ahsan Nazir

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Coherence is a familiar concept in physics: It is the driving force behind wavelike phenomena such as the diffraction of light. Moreover, wave-particle duality implies that all quantum objects can exhibit coherence, and this quantum coherence is crucial to understanding the behaviour of a plethora of systems. In this article, which is written at an undergraduate level, we shall briefly introduce what is meant by coherence in a well-known classical setting, before going on to describe its...

Source: http://arxiv.org/abs/0903.2746v1

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Sep 23, 2013
09/13

by
Brent C. Melot; Brian Paden; Ram Seshadri; Ambesh Dixit; Gavin Lawes; Emmanuelle Suard

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CoSe$_2$O$_5$ has a crystal structure consisting of zig-zag chains of edge shared CoO$_6$ octahedra running along the c axis, with the chains separated by Se$_2$O$_5^{2-}$ units. Magnetic susceptibility measurements indicate a transition at 8.5 K to an ordered state. We investigate here the nature of this magnetic ordering using magnetization and specific heat measurements in addition to powder neuttron diffraction. A transition to long-range antiferromagnetic order is found below $T_N$ = 8.5 K...

Source: http://arxiv.org/abs/0903.2513v1

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Sep 21, 2013
09/13

by
C. Bogdanos; A. Dimitriadis; K. Tamvakis

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We consider 5D braneworld models of quasi-localized gravity in which 4D gravity is reproduced at intermediate scales while the extra dimension opens up at both the very short and the very long distances, where the geometry is flat. Our main interest is the interplay between the zero mode of these models, whenever a normalizable zero mode exists, and the effects of zero energy graviton resonant modes coming from the contributions of massive KK modes. We first consider a compactified version of...

Source: http://arxiv.org/abs/0706.1015v2

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Sep 23, 2013
09/13

by
C. V. Chianca; J. S. S. Martins; P. M. C. de Oliveira

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We perform a computational study of a variant of the ``train'' model for earthquakes [PRA 46, 6288 (1992)], where we assume a static friction that is a stochastic function of position rather than being velocity dependent. The model consists of an array of blocks coupled by springs, with the forces between neighbouring blocks balanced by static friction. We calculate the probability, P(s), of the occurrence of avalanches with a size s or greater, finding that our results are consistent with the...

Source: http://arxiv.org/abs/0903.2787v1

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Sep 23, 2013
09/13

by
Carl Pomerance; Igor E. Shparlinski

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We show that the average and typical ranks in a certain parametric family of elliptic curves described by D. Ulmer tend to infinity as the parameter $d \to\infty$. This is perhaps unexpected since by a result of A. Brumer, the average rank for all elliptic curves over a function field of positive characteristic is asymptotically bounded above by 2.3.

Source: http://arxiv.org/abs/0903.2866v1

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Sep 23, 2013
09/13

by
Carlos Hernandez-Monteagudo; Shirley Ho

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The peculiar motion of ionized baryons is known to introduce temperature anisotropies in the CMB by means of the kinetic Sunyaev-Zel'dovich effect (kSZ). In this work, we present an all sky computation of angular power spectrum of the temperature anisotropies introduced by kSZ momentum of all baryons in the Universe during and after reionization. In an attempt to study the bulk flows of the missing baryons not yet detected, we address separately the contribution from all baryons in the IGM and...

Source: http://arxiv.org/abs/0903.2814v1

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Sep 23, 2013
09/13

by
Catalin D. Spataru; Mark S. Hybertsen; Steven G. Louie; Andrew J. Millis

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The Anderson model for a single impurity coupled to two leads is studied using the $GW$ approximation in the strong electron-electron interaction regime as a function of the alignment of the impurity level relative to the chemical potentials in the leads. We employ a non-equilibrium Green's function technique to calculate the electron self-energy, the spin density and the current as a function of bias across the junction. In addition we develop an expression for the change in the expectation...

Source: http://arxiv.org/abs/0903.2683v1

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Sep 23, 2013
09/13

by
Charles P. Meaney; Tim Duty; Ross H. McKenzie; Gerard J. Milburn

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We consider the steady states of a harmonic oscillator coupled so strongly to a two-level system (a qubit) that the rotating wave approximation cannot be made. The Hamiltonian version of this model is known as the $E\otimes\beta$ Jahn-Teller model. The semiclassical version of this system exhibits a fixed point bifurcation, which in the quantum model leads to a ground state with substantial entanglement between the oscillator and the qubit. We show that the dynamical bifurcation survives in a...

Source: http://arxiv.org/abs/0903.2681v1

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Sep 23, 2013
09/13

by
Chris Orum; Cliff A Joslyn

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We extend the definitions of upper and lower valuations on partially ordered sets, and consider the metrics they induce, in particular the metrics available (or not) based on the logarithms of such valuations. Motivating applications in computational linguistics and computational biology are indicated.

Source: http://arxiv.org/abs/0903.2679v1

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3.0

Jul 18, 2018
07/18

by
Commissioner of Printing, Government of Andhra Pradesh

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The Gazette of Andhra Pradesh Date: 2009-3-16 Department: WOMEN DEVELOPMENT, CHILD AND DISABLED WELFARE Gazette Number: 145 Gazette Type: EXTRAORDINARY Issued By: COMMISSIONER OF PRINTING Part Number: PART I Subject: SMT. V. VENKATA LAKSHMI, ASSISTANT DIRECTOR, O/O DIRECTOR, WOMEN DEVELOPMENT AND CHILD WELFARE, HYDERABAD FORMERLY PROJECT DIRECTOR, DISTRICT WOMEN AND CHILD DEVELOPMENT AGENCY, ELURU, WEST GODAVARI DISTRICT IS DISMISSED FROM SERVICE.

Topic: Andhra Gazette

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3.0

Jul 18, 2018
07/18

by
Commissioner of Printing, Government of Andhra Pradesh

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The Gazette of Andhra Pradesh Date: 2009-3-16 Department: LAW Gazette Number: 146 Gazette Type: EXTRAORDINARY Issued By: COMMISSIONER OF PRINTING Part Number: PART I Subject: SELECTION OF CIVIL JUDGES BY THE HIGH COURT OF ANDHRA PRADESH – NAMES OF SELECTED CANDIDATES APPROVED.

Topic: Andhra Gazette

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3.0

Jul 18, 2018
07/18

by
Commissioner of Printing, Government of Andhra Pradesh

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The Gazette of Andhra Pradesh Date: 2009-3-16 Department: Others Gazette Number: 45 Gazette Type: EXTRAORDINARY Issued By: COMMISSIONER OF PRINTING Part Number: PART II Subject: PRIVATE ADVERTISEMENTS CHANGE OF NAMES

Topic: Andhra Gazette

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Sep 23, 2013
09/13

by
Cosmo Lupo; Vittorio Giovannetti; Stefano Mancini

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We introduce a general model for a lossy bosonic memory channel and calculate the classical and the quantum capacity, proving that coherent state encoding is optimal. The use of a proper set of collective field variables allows to unravel the memory, showing that the n-fold concatenation of the memory channel is unitarily equivalent to the direct product of n single-mode lossy bosonic channels.

Source: http://arxiv.org/abs/0903.2764v1

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Sep 23, 2013
09/13

by
D. B. Melrose; M. Z. Rafat; Q. Luo

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We consider the motion of a charge in a large amplitude electrostatic wave with a triangular wave form relevant to an oscillating model of a pulsar magnetosphere. The (one-dimensional) orbit of a particle in such a wave is found exactly in terms of Weierstrass functions. The result is used to discuss linear acceleration emission (at both low and high frequencies) in an oscillating model for pulsars. An explicit expression for the emissivity is derived in an accompanying paper (Melrose & Luo...

Source: http://arxiv.org/abs/0903.2877v1

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Sep 23, 2013
09/13

by
D. Speer; R. Eichhorn; P. Reimann

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We consider an overdamped Brownian particle, exposed to a two-dimensional, square lattice potential and a rectangular ac-drive. Depending on the driving amplitude, the linear response to a weak dc-force along a lattice symmetry axis consist in a mobility in basically any direction. In particular, motion exactly opposite to the applied dc-force may arise. Upon changing the angle of the dc-force relatively to the square lattice, the particle motion remains predominantly opposite to the dc-force....

Source: http://arxiv.org/abs/0903.2736v1

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Sep 23, 2013
09/13

by
Daniel A Spielman; Jaeoh Woo

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Boman and Hendrickson observed that one can solve linear systems in Laplacian matrices in time $\bigO{m^{3/2 + o (1)} \ln (1/\epsilon)}$ by preconditioning with the Laplacian of a low-stretch spanning tree. By examining the distribution of eigenvalues of the preconditioned linear system, we prove that the preconditioned conjugate gradient will actually solve the linear system in time $\softO{m^{4/3} \ln (1/\epsilon)}$.

Source: http://arxiv.org/abs/0903.2816v1

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Sep 23, 2013
09/13

by
Daniel Allcock

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We prove the following: there are infinitely many finite-covolume (resp. cocompact) Coxeter groups acting on hyperbolic space H^n for every n < 20 (resp. n < 7). When n=7 or 8, they may be taken to be nonarithmetic. Furthermore, for 1 < n < 20, with the possible exceptions n=16 and 17, the number of essentially distinct Coxeter groups in H^n with noncompact fundamental domain of volume less than or equal to V grows at least exponentially with respect to V. The same result holds for...

Source: http://arxiv.org/abs/0903.0138v2

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Sep 23, 2013
09/13

by
Daniele Colosi

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We quantize a real massive Klein-Gordon field in curved spacetimes within the general boundary formulation. The vacuum wave function is given by a Gaussian in the Schr\"odinger representation and we study the general structure of the operator appearing in the Gaussian. We show that it obeys a Riccati equation and we provide the general solution.

Source: http://arxiv.org/abs/0903.2476v1

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Sep 23, 2013
09/13

by
David J. Grynkiewicz; Luz Elimar Marchan; Oscar Ordaz

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Let $G$ be a finite abelian group and let $A\subseteq \mathbb{Z}$ be nonempty. Let $D_A(G)$ denote the minimal integer such that any sequence over $G$ of length $D_A(G)$ must contain a nontrivial subsequence $s_1... s_r$ such that $\sum_{i=1}^{r}w_is_i=0$ for some $w_i\in A$. Let $E_A(G)$ denote the minimal integer such that any sequence over $G$ of length $E_A(G)$ must contain a subsequence of length $|G|$, $s_1... s_{|G|}$, such that $\sum_{i=1}^{|G|}w_is_i=0$ for some $w_i\in A$. In this...

Source: http://arxiv.org/abs/0903.2810v1

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Sep 23, 2013
09/13

by
Dennis E. White

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Let $\{h_1,h_2,...\}$ be a set of algebraically independent variables. We ask which vectors are extreme in the cone generated by $h_ih_j-h_{i+1}h_{j-1}$ ($i\geq j>0$) and $h_i$ ($i>0$). We call this cone the cone of log concavity. More generally, we ask which vectors are extreme in the cone generated by Schur functions of partitions with $k$ or fewer parts. We give a conjecture for which vectors are extreme in the cone of log concavity. We prove the characterization in one direction and...

Source: http://arxiv.org/abs/0903.2831v1

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Sep 18, 2013
09/13

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Dev P. Sinha

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We present two models for the space of knots which have endpoints at fixed boundary points in a manifold with boundary, one model defined as an inverse limit of spaces of maps between configuration spaces and another which is cosimplicial. These models build on the calculus of isotopy functors and are weakly homotopy equivalent to knot spaces when the ambient dimension is greater than three. The mapping space model, and the evaluation map on which it builds, is suitable for analysis through...

Source: http://arxiv.org/abs/math/0202287v7

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Oct 12, 2017
10/17

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Directorate of Printing, Government of India

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The Gazette of India Extraordinary Gazette Published by the Directorate of Printing, Department of Publication, Ministry of Housing and Urban Affairs, Government of India Published in 2009, Issue Number 1107 Ministry: Election Commission of India Subject: Amendment in the Notification No. 434/UP-HP/2008 dated 12th June, 2008.

Topic: Extraordinary Gazette of India

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Oct 12, 2017
10/17

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Directorate of Printing, Government of India

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The Gazette of India Extraordinary Gazette Published by the Directorate of Printing, Department of Publication, Ministry of Housing and Urban Affairs, Government of India Published in 2009, Issue Number 952 Ministry: Ministry of Law and Justice Subject: The High Court and Supreme Court Judges (Salaries and Conditions of Service) Amendment Act, 2009.

Topic: Extraordinary Gazette of India

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Oct 12, 2017
10/17

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Directorate of Printing, Government of India

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The Gazette of India Extraordinary Gazette Published by the Directorate of Printing, Department of Publication, Ministry of Housing and Urban Affairs, Government of India Published in 2009, Issue Number 755 Ministry: Ministry of Finance Subject: Amendments to the notification No. S.O. 732(E) dated 3rd July, 2001.

Topic: Extraordinary Gazette of India