November 2009 arXiv papers — page 4

C. Vignat

The relativistic Hermite polynomials (RHP) were introduced in 1991 by Aldaya et al. in a generalization of the theory of the quantum harmonic oscillator to the relativistic context. These polynomials were later related to the more classical Gegenbauer (or ultraspherical) polynomials in a study by Nagel. Thus some of their properties can be deduced from the p

Leonid V. Verozub

Cosmological observations indicate that the Einstein equation may not be entirely correct to describe gravity. However, numerous modifications of these equations usually do not affect foundations of the theory. In this paper two important issue that lead to a substantial revision of the theory are considered : 1. The significance of relativity of space-time

Rajesh T Krishnamachari, Mahesh K Varanasi

While interference alignment schemes have been employed to realize the full multiplexing gain of $K$-user interference channels, the analyses performed so far have predominantly focused on the case when global channel knowledge is available at each node of the network. This paper considers the problem where each receiver knows its channels from all the trans

P. K. Chattaraj, S. Duley

Electron affinity, electronegativity and electrophilicity of several neutral atoms and their positive and negative ions are calculated at various levels of theory using different basis sets in the gas phase as well as in the presence of solvent and counterions. Electron affinity and electronegativity of all the anions and dianions are negative in gas phase a

Tin-Lun Ho, Qi Zhou

At present, there is a worldwide effort to use cold atoms to simulate strongly correlated quantum many-body systems. It is hoped that these "simulations" will provide solutions to many unsolved problems. However, the relevant energy scales in most of these experiments are so small that one has to go to entropy regimes far below those achievable today

Denis P. Ilyutko

In the present paper we give an explicit formula which allows us immediately to describe a unique Gauss circuit on a framed 4-valent graph (a graph with a structure of opposite edges) from an arbitrary Euler tour on the graph whenever the Gauss circuit exists. This formula only depends on the adjacency matrix of an Euler tour and also tells us whether there

Constantinos Kardaras

This work aims at a deeper understanding of the mathematical implications of the economically-sound condition of absence of arbitrages of the first kind in a financial market. In the spirit of the Fundamental Theorem of Asset Pricing (FTAP), it is shown here that absence of arbitrages of the first kind in the market is equivalent to the existence of a finite

Arkadiusz Wojs

We use exact numerical diagonalization in the search of fractional quantum Hall states with non-Abelian quasiparticle statistics. For the (most promising) states in a partially filled second Landau level, the search is narrowed to the range of filling factors $7/3 <ν_e<8/3$. In this range, the analysis of energy spectra and correlation functions, calculated

A. V. Simakin, G. A. Shafeev

Laser exposure of suspension of either gold or palladium nanoparticles in aqueous solutions of UO2Cl2 of natural isotope abundance was experimentally studied. Picosecond Nd:YAG lasers at peak power from 1011 to 1013 W/cm2 at the wavelength of 1064 and 355 nm were used as well as a visible-range Cu vapor laser at peak power of 1010 W/cm2. The composition of c

A. Rebello, R. Mahendiran

We show that ac magnetoresistance at room temperature in La0.7Sr0.3MnO3 is extremely high (= 47% in H = 100 mT, f = 3-5 MHz), and magnetic field dependence of reactance exhibits a double peak behavior. However, magnitudes of the ac magnetoresistance and magnetoreactance for a fixed length of the sample (li) decrease with decreasing separation (lv) between vo

A. Rebello, R. Mahendiran

It is shown that with increasing magnitude of current (I), resistivity of Sm0.6Sr0.4MnO3 transforms from a smooth to a discontinuous insulator-metal transition which is also accompanied by an abrupt decrease in temperature of the sample. We report colossal low-field magnetoresistance under a high current bias (-99% at H = 0.5 T and 70 K) and electroresistanc

G. Testor, J. L. Lemaire, M. Heydari-Malayeri, L. E. Kristensen

We present near-infrared imaging and spectroscopic high spatial resolution observations of the SMC region N88 containing the bright, excited, extincted and compact H II region N88A of size ~ 1 pc. To investigate its stellar content and reddening, N88 was observed using spectroscopy and imagery in the JHKs- and L&#39;-band at a spatial resolution of ~ 0.1-0.3

Gelu Popescu

In this paper, we study the hyperbolic geometry of noncommutative balls generated by the joint operator radius $ω_ρ$, $ρ\in (0,\infty]$, for $n$-tuples of bounded linear operators on a Hilbert space. In particular, $ω_1$ is the operator norm, $ω_2$ is the joint numerical radius, and $ω_\infty$ is the joint spectral radius. We provide mapping theorems, von Ne

Jinshan Zhang, Heng Liang, Fengshan Bai

Gibbs distribution of binary Markov random fields on a sparse on average graph is considered in this paper. The strong spatial mixing is proved under the condition that the `external field&#39; is uniformly large or small. Such condition on `external field&#39; is meaningful in physics.

Jinshan Zhang, Heng Liang, Fengshan Bai

Two-state spin systems is a classical topic in statistical physics. We consider the problem of computing the partition function of the systems on a bounded degree graph. Based on the self-avoiding tree, we prove the systems exhibits strong correlation decay under the condition that the absolute value of &#34;inverse temperature&#34; is small. Due to strong c

Martin Horsch, Svetlana Miroshnichenko, Jadran Vrabec

The most interesting step of condensation is the cluster formation up to the critical size. In a closed system, this is an instationary process, as the vapour is depleted by the emerging liquid phase. This imposes a limitation on direct molecular dynamics (MD) simulation of nucleation by affecting the properties of the vapour to a significant extent so that

Martin Horsch, Jadran Vrabec

Grand canonical molecular dynamics (GCMD) is applied to the nucleation process in a metastable phase near the spinodal, where nucleation occurs almost instantaneously and is limited to a very short time interval. With a variant of Maxwell&#39;s demon, proposed by McDonald [Am. J. Phys. 31: 31 (1963)], all nuclei exceeding a specified size are removed. In suc

Martin Horsch, Jadran Vrabec, Martin Bernreuther, Hans Hasse

MD simulations of methane confined between graphite walls with up to 4,800,000 interaction sites, i.e., carbon atoms and methane molecules, are conducted, where the channel width is varied to include both the boundary-dominated regime and the transition to the continuum regime. This proves that MD can be used today to cover the entire range of characteristic

Giorgio Torrieri

We give a pedagogical introduction (suitable to upper level physics undergraduates) to the field of ultrarelativistic heavy ion collisions. We pay particular attention to our understanding of the thermodynamic and hydrodynamic properties of the matter created in heavy ion collisions at RHIC energies.

M. B. Skelly, J. -F. Donati, J. Bouvier, K. N. Grankin

We present new brightness and magnetic images of the weak-line T Tauri star V410 Tau, made using data from the NARVAL spectropolarimeter at Telescope Bernard Lyot (TBL). The brightness image shows a large polar spot and significant spot coverage at lower latitudes. The magnetic maps show a field that is predominantly dipolar and non-axisymmetric with a stron

Alexandr Kazda

The paper gives a characterisation of the chain relation of a sofic subshift. Every sofic subshift $Σ$ can be described by a labelled graph $G$. Factorising $G$ in a suitable way we obtain the graph $G/_\approx$ that offers insight into some properties of the original subshift. Using $G/_\approx$ we describe first the chain relation in $Σ$, then characterise

Mihai Halic

In this paper we partially address two issues: - The first is a rigidity property for pairs (S,C) consisting of a general projective K3 surface S, and a curve C obtained as the normalization of a nodal, hyperplane section of S. We prove that a non-trivial deformation of such a pair (S,C) induces a non-trivial deformation of C; - The second question concerns

Alexey M. Kulik

New relations between ergodic rate, L_p convergence rates, and asymptotic behavior of tail probabilities for hitting times of a time homogeneous Markov process are established. For L_p convergence rates and related spectral and functional properties (spectral gap and Poincare inequality) sufficient conditions are given in the terms of an exponential ϕ-coupli

Lie-Wen Chen, Bao-An Li, Hong-Ru Ma, Jun Xu

Using the equation of state of asymmetric nuclear matter that has been recently constrained by the isospin diffusion data from intermediate-energy heavy ion collisions, we have studied the transition density and pressure at the inner edge of neutron star crusts, and they are found to be 0.040 fm^{-3} <= ρ_{t}<= 0.065 fm^{-3} and 0.01 MeV/fm^{3} <= P_{t} <= 0

Y. Utsumi, D. S. Golubev, M. Marthaler, T. Fujisawa

Experiments on the direction-resolved full-counting statistics of single-electron tunneling allow testing the fundamentally important Fluctuation Theorem (FT). At the same time, the FT provides a frame for analyzing such data. Here we consider tunneling through a double quantum dot system which is coupled capacitively to a quantum point contact (QPC) detecto

Marek Karas, Jakub Zygadlo

In this note we show that the set mdeg(Aut(C^3)) mdeg(Tame(C^3)) is not empty. Moreover we show that this set has infinitely many elements. Since for the famous Nagata&#39;s example N of wild automorphism, mdeg N =(5,3,1) is an element of mdeg(Tame(C^3)) and since for other known examples of wild automorphisms the multidegree is of the form (1,d_2,d_3) (afte

Mahdi S. Hosseini, Babak N. Araabi, Hamid Soltanian-Zadeh

Recognition of iris based on Visible Light (VL) imaging is a difficult problem because of the light reflection from the cornea. Nonetheless, pigment melanin provides a rich feature source in VL, unavailable in Near-Infrared (NIR) imaging. This is due to biological spectroscopy of eumelanin, a chemical not stimulated in NIR. In this case, a plausible solution

Kenji Bekki

We numerically investigate orbital evolution of star clusters (SCs) under the influence of dynamical friction by field stars of their host disk galaxies embedded in dark matter halos. We find that SCs with masses larger than 2 * 10^5 M_sun can show significant orbital decay within less than 1 Gyr due to dynamical friction by disk field stars in galaxies with

Andrew Berget

The Whitney module of a matroid is a natural analogue of the tensor algebra of the exterior algebra of a vector space that takes into account the dependencies of a matroid. In this paper we indicate the role that tableaux can play in describing the Whitney module. We will use our results to describe a basis of the Whitney module of a certain class of matroid

K. L. Luhman, E. E. Mamajek, P. R. Allen, K. L. Cruz

We present the results of a search for new members of the Taurus star-forming region using data from the Spitzer Space Telescope and the XMM-Newton Observatory. We have obtained optical and near-infrared spectra of 44 sources that exhibit red Spitzer colors that are indicative of stars with circumstellar disks and 51 candidate young stars that were identifie

Yuri Bakhtin, Carl Mueller

We introduce a probabilistic representation for solutions of quasilinear wave equation with analytic nonlinearities. We use stochastic cascades to prove existence and uniqueness of the solution.

Luca Padovani

We (re)define session types as projections of process behaviors with respect to the communication channels they use. In this setting, we give session types a semantics based on fair testing. The outcome is a unified theory of behavioral types that shares common aspects with conversation types and that encompass features of both dyadic and multi-party session

Christian Krause

In this paper, we present an integrated structural and behavioral model of Reo connectors and Petri nets, allowing a direct comparison of the two concurrency models. For this purpose, we introduce a notion of connectors which consist of a number of interconnected, user-defined primitives with fixed behavior. While the structure of connectors resembles hyperg

Mohamad Jaber, Ananda Basu, Simon Bliudze

BIP is a component framework for constructing systems by superposing three layers of modeling: Behavior, Interaction, and Priority. Behavior is represented by labeled transition systems communicating through ports. Interactions are sets of ports. A synchronization between components is possible through the interactions specified by a set of connectors. When

Dave Clarke, José Proença

Wegner describes coordination as constrained interaction. We take this approach literally and define a coordination model based on interaction constraints and partial, iterative and interactive constraint satisfaction. Our model captures behaviour described in terms of synchronisation and data flow constraints, plus various modes of interaction with the outs

Marco Carbone, Joshua Guttman

We equip choreography-level session descriptions with a simple abstraction of a security infrastructure. Message components may be enclosed within (possibly nested) &#34;boxes&#34; annotated with the intended source and destination of those components. The boxes are to be implemented with cryptography. Strand spaces provide a semantics for these choreographi

Giovanni Amelino-Camelia, Leonardo Gualtieri, Flavio Mercati

Recently the study of threshold kinematic requirements for particle-production processes has played a very significant role in the phenomenology of theories with departures from Poincare&#39; symmetry. We here specialize these threshold studies to the case of a class of violations of Poincare&#39; symmetry which has been much discussed in the literature on H

Lisa L. Everett, Jing Jiang, Paul G. Langacker, Tao Liu

We construct a class of anomaly-free supersymmetric U(1)&#39; models that are characterized by family non-universal U(1)&#39; charges motivated from E_6 embeddings. The family non-universality arises from an interchange of the standard roles of the two SU(5) 5* representations within the 27 of E_6 for the third generation. We analyze U(1)&#39; and electrowea

Raman Sanyal, Frank Sottile, Bernd Sturmfels

An orbitope is the convex hull of an orbit of a compact group acting linearly on a vector space. These highly symmetric convex bodies lie at the crossroads of several fields, in particular convex geometry, optimization, and algebraic geometry. We present a self-contained theory of orbitopes, with particular emphasis on instances arising from the groups SO(n)

ALICE Collaboration

On 23rd November 2009, during the early commissioning of the CERN Large Hadron Collider (LHC), two counter-rotating proton bunches were circulated for the first time concurrently in the machine, at the LHC injection energy of 450 GeV per beam. Although the proton intensity was very low, with only one pilot bunch per beam, and no systematic attempt was made t

Victor Przyjalkowski

For each smooth Fano threefold $X$ with Picard number 1 we consider a weak Landau--Ginzburg model, that is a fibration over $\mathbb C^1$ given by a certain Laurent polynomial. In the spirit of L. Katzarkov&#39;s program we prove that the number of irreducible components of the central fiber of its compactification is $h^{1,2}(X)+1$. In particular, it does n

Mohan Sarovar, Yuan-Chung Cheng, K. Birgitta Whaley

Several recent studies of energy transfer in photosynthetic light harvesting complexes have revealed a subtle interplay between coherent and decoherent dynamic contributions to the overall transfer efficiency in these open quantum systems. In this work we systematically investigate the impact of temporal and spatial correlations in environmental fluctuations

Daniel Butter

We apply the heat kernel method (using Avramidi&#39;s non-recursive technique) to the study of the effective action of chiral matter in a complex representation of an arbitrary gauge sector coupled to background U(1) supergravity. This generalizes previous methods, which restricted to 1) real representations of the gauge sector in traditional Poincaré superg

Dimitri Skliros, Mark Hindmarsh

We construct complete sets of (open and closed string) covariant coherent state and mass eigenstate vertex operators in bosonic string theory. By minimally extending the standard definition of coherent states so as to include the string theory requirements, we show that the naive construction of the the closed string coherent states requires the existence of

CMS Collaboration

The CMS Level-1 trigger was used to select cosmic ray muons and LHC beam events during data-taking runs in 2008, and to estimate the level of detector noise. This paper describes the trigger components used, the algorithms that were executed, and the trigger synchronisation. Using data from extended cosmic ray runs, the muon, electron/photon, and jet trigger

Haifeng Jiang, Fabien Kefelian, Pierre Lemonde, Andre Clairon

We report on a fiber-stabilized agile laser with ultra-low frequency noise. The frequency noise power spectral density is comparable to that of an ultra-stable cavity stabilized laser at Fourier frequencies higher than 30 Hz. When it is chirped at a constant rate of ~ 40 MHz/s, the max non-linearity frequency error is about 50 Hz peak-to-peak over more than

S. Weyeneth, M. Bendele, R. Puzniak, F. Muranyi

The magnetic field dependence of the in-plane magnetic penetration depth for optimally doped SmFeAsO_(1-x)F_y was investigated by combining torque magnetometry, SQUID magnetometry, and muon-spin rotation. The results obtained from these techniques show all a pronounced decrease of the superfluid density as the field is increased up to 1.4 T. This behavior is

A. N. Petrov

Kaluza-Klein (KK) black hole solutions in the Einstein-Gauss-Bonnet (EGB) gravity in $D$ dimensions obtained in the current series of the works by Maeda, Dadhich and Molina are examined. Interpreting their solutions, the authors claim that the mass/matter is created by the extra dimensions. To support this claim, one needs to show that such objects have clas

Pasha Zusmanovich

This is an old paper put here for archeological purposes. It is proved that a finite-dimensional Lie algebra over a field of characteristic p>5, that can be written as a vector space (not necessarily direct) sum of two nilpotent subalgebras, is solvable. The same result (but covering also the cases of low characteristics) was established independently by V.

Andrés Santos, Gema Manzano

As is well known, approximate integral equations for liquids, such as the hypernetted chain (HNC) and Percus--Yevick (PY) theories, are in general thermodynamically inconsistent in the sense that the macroscopic properties obtained from the spatial correlation functions depend on the route followed. In particular, the values of the fourth virial coefficient

Daniel Schnellmann

Let $I\subset\mathbb{R}$ be an interval and $T_a:[0,1]\to[0,1]$, $a\in I$, a one-parameter family of piecewise expanding maps such that for each $a\in I$ the map $T_a$ admits a unique absolutely continuous invariant probability measure $μ_a$. We establish sufficient conditions on such a one-parameter family such that a given point $x\in[0,1]$ is typical for

Pasha Zusmanovich

An embedding theorem for algebraic systems is presented, basing on a certain old ultrafilter construction. As an application, we outline alternative proofs of some results from the theory of PI algebras, and establish some properties of Tarski&#39;s monsters.

Saul Jacka, Jon Warren, Peter Windridge

Suppose we have three independent copies of a regular diffusion on $[0,1]$ with absorbing boundaries. Of these diffusions, either at least two are absorbed at the upper boundary or at least two at the lower boundary. In this way, they determine a majority decision between 0 and 1. We show that the strategy that always runs the diffusion whose value is curren

Claire Amiot

Let $Q$ be an acyclic quiver. Associated with any element $w$ of the Coxeter group of $Q$, triangulated categories $\underline{\Sub}Λ_w$ were introduced in \cite{Bua2}. There are shown to be triangle equivalent to generalized cluster categories $\Cc_{Γ_w}$ associated to algebras $Γ_w$ of global dimension $\leq 2$ in \cite{ART}. For $w$ satisfying a certain p

J. E. McClintock, R. Narayan, L. Gou, J. Liu

We use the Novikov-Thorne thin disk model to fit the thermal continuum X-ray spectra of black hole X-ray binaries, and thereby extract the dimensionless spin parameter a* = a/M of the black hole as a parameter of the fit. We summarize the results obtained to date for six systems and describe work in progress on additional systems. We also describe recent met

Xiaoting Wang, Abolfazl Bayat, Sophie G Schirmer, Sougato Bose

We demonstrate how near-perfect entanglement (in fact arbitrarily close to maximal entanglement) can be generated between the end spins of an anti-ferromagnetic isotropic Heisenberg chain of length $N$, starting from the ground state in the $N/2$ excitation subspace, by applying a magnetic field along a given direction, acting on a single spin only. Temporal

Yu. M. Gavriljuk, A. M. Gangapshev, V. V. Kazalov, V. V. Kuzminov

A pulse shape analysis algorithm and a method for suppressing the noise component of signals from a large copper proportional counter in the experiment aimed at searching for 2K capture of Kr-78 are described. These signals correspond to a compound event with different numbers of charge clusters due to from primary ionization is formed by these signals. A te

Xu Dou, Xin-He Meng

A general equation of state is used to model unified dark matter and dark energy (dark fluid), and it has been proved that this model is equivalent to a single fluid with time-dependent bulk viscosity. In this paper, we investigate scalar perturbation of this viscosity dark fluid model. For particular parameter selection, we find that perturbation quantity c

J. S. Wettlaufer

The formation of a solar system is believed to have followed a multi-stage process around a protostar. Whipple first noted that planetesimal growth by particle agglomeration is strongly influenced by gas drag; there is a &#34;bottleneck&#34; at the meter scale with such bodies rapidly spiraling into the central star, whereas much smaller or larger particles

CMS Collaboration

A large sample of cosmic ray events collected by the CMS detector is exploited to measure the specific energy loss of muons in the lead tungstate of the electromagnetic calorimeter. The measurement spans a momentum range from 5 GeV/c to 1 TeV/c. The results are consistent with the expectations over the entire range. The calorimeter energy scale, set with 120

F. Saracco, M. Pietroni, N. Tetradis, V. Pettorino

We consider cosmologies in which a dark-energy scalar field interacts with cold dark matter. The growth of perturbations is followed beyond the linear level by means of the time-renormalization-group method, which is extended to describe a multi-component matter sector. Even in the absence of the extra interaction, a scale-dependent bias is generated as a co

Ping Zhu

In Pawlak&#39;s rough set theory, a set is approximated by a pair of lower and upper approximations. To measure numerically the roughness of an approximation, Pawlak introduced a quantitative measure of roughness by using the ratio of the cardinalities of the lower and upper approximations. Although the roughness measure is effective, it has the drawback of

Ping Zhu

Rough set theory, a mathematical tool to deal with inexact or uncertain knowledge in information systems, has originally described the indiscernibility of elements by equivalence relations. Covering rough sets are a natural extension of classical rough sets by relaxing the partitions arising from equivalence relations to coverings. Recently, some topological

Arata Yamamoto, Hideo Suganuma

We analyze which momentum component of the gluon field induces spontaneous chiral symmetry breaking in lattice QCD. After removing the high-momentum or low-momentum component of the gluon field, we calculate the chiral condensate and observe the roles of these momentum components. The chiral condensate is found to be drastically reduced by removing the zero-

Zengo Tsuboi

The Lie superalgebra sl(r+1|s+1) admits several inequivalent choices of simple root systems. We have carried out analytic Bethe ansatz for any simple root systems of sl(r+1|s+1). We present transfer matrix eigenvalue formulae in dressed vacuum form, which are expressed as the Young supertableaux with some semistandard-like conditions. These formulae have det

Jong-Phil Lee

Ungravity by tensor unparticles is realized in AdS(4+N) space through deconstruction. It is shown that ungravity is equivalent to the gravity in extra dimensions. There is a close relation between the scaling dimension of the unparticle operator and the number of extra dimensions. Consequently it is possible to discover the fractional extra dimentions, which

Shohreh Abdolrahimi, Andrey A. Shoom

We study the $d$-dimensional Fisher solution which represents a static, spherically symmetric, asymptotically flat spacetime with a massless scalar field. The solution has two parameters, the mass and the &#34;scalar charge.&#34; The Fisher solution has a naked curvature singularity which divides the spacetime manifold into two disconnected parts. The part w

Ori Gurel-Gurevich, Ron Peled

Let X be a Poisson point process of intensity lambda on the real line. A thickening of it is a (deterministic) measurable function f such that the union of X and f(X) is a Poisson point process of intensity lambda&#39; where lambda&#39;>lambda. An equivariant thickening is a thickening which commutes with all shifts of the line. We show that a thickening exi

Baocheng Zhang, Qing-yu Cai, Ming-sheng Zhan

We revisit the Parikh-Wilczek tunneling through the de Sitter horizon and obtain the tunneling rate in Schwarzschild-de Sitter space, which is non-thermal and closely related to the change of entropy. We discuss the thermodynamics of Schwarzschild-de Sitter space and show existence of correlation which ensured the conservation of the total entropy in the tra

Dheeraj Golla, Subimal Deb, S Dutta Gupta

We study resonant tunneling through a layered medium with a negative index medium (NIM) slab as a constituent layer. We demonstrate large delays in transmission mediated by the surface and the guided modes of the structure with low losses. We show how important it is to include NIM dispersion for correct assessment of the nature and magnitude of the delay. W

Louis H. Y. Chen, Xiao Fang, Qi-Man Shao

Stein&#39;s method is applied to obtain a general Cramer-type moderate deviation result for dependent random variables whose dependence is defined in terms of a Stein identity. A corollary for zero-bias coupling is deduced. The result is also applied to a combinatorial central limit theorem, a general system of binary codes, the anti-voter model on a complet

Xiao Hu, Shi-Zeng Lin

The Josephson effects associated with quantum tunneling of Cooper pairs manifest as nonlinear relations between the superconductivity phase difference and the bias current and voltage. Many novel phenomena appear, such as Shapiro steps in dc cuurent-voltage (IV) characteristics of a Josephson junction under microwave shining, which can be used as a voltage s

Douglas M. Gingrich

We describe the Monte Carlo event generator for quantum black hole production and decay in proton-proton collisions -- QBH version 1.03.

Marco Cuturi

This survey is an introduction to positive definite kernels and the set of methods they have inspired in the machine learning literature, namely kernel methods. We first discuss some properties of positive definite kernels as well as reproducing kernel Hibert spaces, the natural extension of the set of functions $\{k(x,\cdot),x\in\mathcal{X}\}$ associated wi

Ali Shojaie, George Michailidis

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges between nodes represent the influence of components of the system on each other. The general problem of estimating DAGs

Jochen L. Leidner, Gary Berosik

This tutorial presents a recipe for the construction of a compute cluster for processing large volumes of data, using cheap, easily available personal computer hardware (Intel/AMD based PCs) and freely available open source software (Ubuntu Linux, Apache Hadoop).

Klaus Lichtenegger, Daniel Zwanziger

We investigate the infrared critical exponents of Coulomb gauge Yang-Mills theory in the limit of very high temperature. This allows us to focus on one scale (the spatial momentum) since all but the lowest Matsubara frequency decouple from the deep infrared. From the first-order Dyson-Schwinger equations in a bare-vertex truncation we obtain infrared exponen

Attila Egri-Nagy, Chrystopher L. Nehaniv

We give a general constructive proof for hierarchical coordinatizations (Lagrange Decompositions) of permutation groups. The generalization originates from the investigation of how the subgroup chains of finite permutation groups yield different coordinate systems. The study is motivated by the practical needs and the verification of an existing computationa

Richard Todd Evans, Elvira Gamiz, Aida El-Khadra, Andreas Kronfeld

We discuss the matching procedure for heavy-light 4-quark operators using the Fermilab method for heavy quarks and staggered fermions for light quarks. These ingredients enable us to construct the continuum-limit operator needed to determine the oscillation frequency of neutral B mesons. The matching is then carried out at the one-loop level. We also present

Vesselin Drensky, Jeno Szigeti, Leon van Wyk

Let K be a field of any characteristic and let R be an algebra generated by two elements satisfying quadratic equations. Then R is a homomorphic image of F=K<x,y | x^2+ax+b=0,y^2+cy+d=0> for suitable a,b,c,d in K. We establish that F can be embedded into the 2x2 matrix algebra M_2(E[t]) with entries from the polynomial algebra E[t] over the algebraic closure

S. G. Schirmer, F. C. Langbein

Identifying the Hamiltonian of a quantum system from experimental data is considered. General limits on the identifiability of model parameters with limited experimental resources are investigated, and a specific Bayesian estimation procedure is proposed and evaluated for a model system where a-priori information about the Hamiltonian&#39;s structure is avai

Jan L. Cieslinski

We show that the exact integrator for the classical Kepler motion, recently found by Kozlov ({\it J. Phys. A: Math. Theor.\} {\bf 40} (2007) 4529-4539), can be derived in a simple natural way (using well known exact discretization of the harmonic oscillator). We also turn attention on important earlier references, where the exact discretization of the 4-dime

Rachid Ouyed, Denis Leahy, Prashanth Jaikumar

[Abridged] Superluminous Supernovae (SN2006gy, SN2005gj, SN2005ap, SN2008fz, SN2003ma) have been a challenge to explain by standard models. We present an alternative scenario involving a quark-nova (QN), an explosive transition of the newly born neutron star to a quark star in which a second explosion (delayed) occurs inside the already expanding ejecta of a

Minh Lam Ha, Marcel Morales

In this article, we define a class of binomial ideals associated to a simplicial complex. This class of ideals appears in the presentation of fiber cones of codimension 2 lattice ideals \cite{hm}, and in the work of Barile and Morales \cite{bm2}, \cite{bm3}, \cite{bm4}. We compute the reduction number of Binomial extensions of Simplicial ideals. This extends

R. K. P. Zia

When Lenz proposed a simple model for phase transitions in magnetism, he couldn&#39;t have imagined that the &#34;Ising model&#34; was to become a jewel in field of equilibrium statistical mechanics. Its role spans the spectrum, from a good pedagogical example to a universality class in critical phenomena. A quarter century ago, Katz, Lebowitz and Spohn foun

Namig J. Guliyev

The regularized trace formula of first order for the Sturm-Liouville equation with spectral parameter in the boundary conditions is obtained.

Peter Dragnev, Erwin Miña-Díaz

Let $L$ be an analytic Jordan curve and let $\{p_n(z)\}_{n=0}^\infty$ be the sequence of polynomials that are orthonormal with respect to the area measure over the interior of $L$. A well-known result of Carleman states that \label{eq12} \lim_{n\to\infty}\frac{p_n(z)}{\sqrt{(n+1)/π} [ϕ(z)]^{n}}= ϕ&#39;(z) locally uniformly on certain open neighborhood of the

Ramaseshan Rajagopalan, Arup Dasgupta, Ramachandran Divakar, Sitaram Dash

Ti/Al multilayer thin films with precise thickness have been deposited using a combination of dc and rf magnetron sputtering techniques. Cross-sectional transmission electron microscopy (TEM) revealed unmixed fifteen parallel and alternate layers of Ti and Al with sharp interfaces, each measuring 27 nm and 15 nm in thickness, respectively. The Ti layer was c

Atul Chowdhary, Vivek Agrawal, Subhajit Karmakar, Sandip Sarkar

We present here a pattern sensitive PowerPoint presentation scheme. The presentation is actuated by simple patterns drawn on the presentation screen by a laser pointer. A specific pattern corresponds to a particular command required to operate the presentation. Laser spot on the screen is captured by a RGB webcam with a red filter mounted, and its location i

Donald Yau

We study Hom-quantum groups, their representations, and module Hom-algebras. Two Twisting Principles for Hom-type algebras are formulated, and construction results are proved following these Twisting Principles. Examples include Hom-quantum n-spaces, Hom-quantum enveloping algebras of Kac-Moody algebras, Hom-Verma modules, and Hom-type analogs of U_q(sl_2)-m

J. Brian Pitts

Einstein considered general covariance to characterize the novelty of his General Theory of Relativity (GTR), but Kretschmann thought it merely a formal feature that any theory could have. The claim that GTR is &#34;already parametrized&#34; suggests analyzing substantive general covariance as formal general covariance achieved without hiding preferred coord

George Efstathiou, Yin-Zhe Ma, Duncan Hanson

It has been argued recently by Copi etal (2009) that the lack of large angular correlations of the CMB temperature field provides strong evidence against the standard, statistically isotropic, inflationary LambdaCDM cosmology. We compare various estimators of the temperature correlation function showing how they depend on assumptions of statistical isotropy

Zengo Tsuboi

An analytic Bethe ansatz is carried out related to tensor-like representations of the type II Lie superalgebras B(r|s)=osp(2r+1|2s) (r > -1, s >0) and D(r|s)=osp(2r|2s) (r >1, s >0). We present eigenvalue formulae of transfer matrices in dressed vacuum forms labeled by Young (super) diagrams. A class of transfer matrix functional relations (T-system) is disc

Jan Naudts

The Boltzmann-Gibbs probability distribution, seen as a statistical model, belongs to the exponential family. Recently, the latter concept has been generalized. The q-exponential family has been shown to be relevant for the statistical description of small isolated systems. Two main applications are reviewed: 1. The distribution of the momentum of a single p

Zengo Tsuboi

An analytic Bethe ansatz is carried out related to the type 1 Lie superalgebra C(s). We present eigenvalue formulae of transfer matrices in dressed vacuum form (DVF) labeled by Young superdiagrams with one row or one column. We also propose an DVF related to a one parameter family of finite dimensional irreducible representations. A class of transfer matrix

Zengo Tsuboi

As is well known, the type 1 Lie superalgebra sl(r+1|s+1) admits a one parameter family of finite dimensional irreducible representations. We have carried out an analytic Bethe ansatz related to this family of representations. We present formulae, which are deformations of previously proposed determinant formulae labeled by a Young superdiagram. These formul

Shi-Jian Gu, Li-Gang Wang, Zhi-Guo Wang, Hai-Qing Lin

As a classical state, for instance a digitized image, is transferred through a classical channel, it decays inevitably with the distance due to the surroundings&#39; interferences. However, if there are enough number of repeaters, which can both check and recover the state&#39;s information continuously, the state&#39;s decay rate will be significantly suppr

Zengo Tsuboi

From the point of view of the Young superdiagrm method, an analytic Bethe ansatz is carried out for Lie superalgebra sl(r+1|s+1). For the transfer matrix eigenvalue formulae in dressed vacuum form, we present some expressions, which are quantum analogue of Jacobi-Trudi and Giambelli formulae for Lie superalgebra sl(r+1|s+1). We also propose transfer matrix f

Laura Cottatellucci, Ralf R. Mueller, Merouane Debbah

Spectral efficiency for asynchronous code division multiple access (CDMA) with random spreading is calculated in the large system limit allowing for arbitrary chip waveforms and frequency-flat fading. Signal to interference and noise ratios (SINRs) for suboptimal receivers, such as the linear minimum mean square error (MMSE) detectors, are derived. The appro

B. Capogrosso-Sansone, S. Giorgini, S. Pilati, L. Pollet

Aiming for simplicity of explicit equations and at the same time controllable accuracy of the theory we present results for all thermodynamic quantities and correlation functions for the weakly interacting Bose gas at short-to-intermediate distances obtained within an improved version of Beliaev&#39;s diagrammatic technique. With a small symmetry breaking te