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Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups of rank six and sevenFeb 27 2013Let G(q) be a finite Chevalley group, where q is a power of a good prime p, and let U(q) be a Sylow p-subgroup of G(q). Then a generalized version of a conjecture of Higman asserts that the number k(U(q)) of conjugacy classes in U(q) is given by a polynomial ... More

On the coadjoint orbits of maximal unipotent subgroups of reductive groupsSep 16 2014Jan 26 2015Let G be a simple algebraic group defined over an algebraically closed field of characteristic 0 or a good prime for G. Let U be a maximal unipotent subgroup of G and \u its Lie algebra. We prove the separability of orbit maps and the connectedness of ... More

The modality of a Borel subgroup in a simple algebraic group of type $E_8$Feb 09 2018Let $G$ be a simple algebraic group over an algebraically closed field $k$, where $\mathrm{char}\, k$ is either 0 or a good prime for $G$. We consider the modality $\mathrm{mod}(B : \mathfrak u)$ of the action of a Borel subgroup $B$ of $G$ on the Lie ... More

A spatial model for selection and cooperationMar 02 2016Oct 11 2016We study the evolution of cooperation in an interacting particle system with two types. The model we investigate is an extension of a two-type biased voter model. One type (called defector) has a (positive) bias $\alpha$ with respect to the other type ... More

Structural Intervention Distance (SID) for Evaluating Causal GraphsJun 05 2013Apr 07 2014Causal inference relies on the structure of a graph, often a directed acyclic graph (DAG). Different graphs may result in different causal inference statements and different intervention distributions. To quantify such differences, we propose a (pre-) ... More

Spectral asymptotics of the Laplacian on supercritical bond-percolation graphsJun 21 2005Jul 03 2007We investigate Laplacians on supercritical bond-percolation graphs with different boundary conditions at cluster borders. The integrated density of states of the Dirichlet Laplacian is found to exhibit a Lifshits tail at the lower spectral edge, while ... More

Phi, Omega and Rho production from deconfined matter in relativistic heavy ion collisions at CERN SPSSep 29 1999We investigate the production of the Phi meson and the Omega baryon which interact weakly with hot hadronic matter, and thus their spectra reflect the early stage of the heavy ion collisions. Our analysis shows that the hadronization temperature, T_had, ... More

Regret and Jeffreys Integrals in Exp. FamiliesMar 31 2009The problem of whether minimax redundancy, minimax regret and Jeffreys integrals are finite or infinite are discussed.

General Solutions for Multispin Two-Time Correlation and Response Functions in the Glauber-Ising ChainJul 09 2003The kinetic Glauber-Ising spin chain is one of the very few exactly solvable models of non-equilibrium statistical mechanics. Nevertheless, existing solutions do not yield tractable expressions for two-time correlation and response functions of observables ... More

Changing gears: Isospectrality via eigenderivative transplantationSep 11 2015We introduce a new method for constructing isospectral quantum graphs that is based on transplanting derivatives of eigenfunctions. We also present simple digraphs with the same reversing zeta function, which generalizes the Bartholdi zeta function to ... More

Proceedings of the Twenty-Sixth Conference on Uncertainty in Artificial Intelligence (2010)May 11 2012Aug 28 2014This is the Proceedings of the Twenty-Sixth Conference on Uncertainty in Artificial Intelligence, which was held on Catalina Island, CA, July 8 - 11 2010.

Aspects of workDec 08 2015Various approaches of defining and determining work performed on a quantum system are compared. Any operational definition of work, however, must allow for two facts, first, that work characterizes a process rather than an instantaneous state of a system, ... More

Statistical Cosmology with Quadratic Density FieldsAug 15 2002Primordial fluctuations in the cosmic density are usually assumed to take the form of a Gaussian random field that evolves under the action of gravitational instability. In the early stages, while they have low amplitude, the fluctuations grow linearly. ... More

Galaxy-galaxy-galaxy lensing: Third-order correlations between the galaxy and mass distributions in the UniverseFeb 25 2005Galaxy-galaxy lensing (GGL) measures the 2-point cross-correlation between galaxies and mass in the Universe. In this work we seek to generalise this effect by considering the third-order correlations between galaxies and mass: galaxy-galaxy-galaxy lensing. ... More

Open system trajectories specify fluctuating work but not heatMay 24 2016Aug 26 2016Based on the explicit knowledge of a Hamiltonian of mean force, the classical statistical mechanics and equilibrium thermodynamics of open systems in contact with a thermal environment at arbitrary interaction strength can be formulated. Even though the ... More

Aging in One-Dimensional Coagulation-Diffusion Processes and the Fredrickson-Andersen ModelFeb 26 2007We analyse the aging dynamics of the one-dimensional Fredrickson-Andersen (FA) model in the nonequilibrium regime following a low temperature quench. Relaxation then effectively proceeds via diffusion limited pair coagulation (DLPC) of mobility excitations. ... More

Observable Dependent Quasi-Equilibrium in Slow DynamicsMay 31 2004Apr 18 2005We present examples demonstrating that quasi-equilibrium fluctuation-dissipation behavior at short time differences is not a generic feature of systems with slow non-equilibrium dynamics. We analyze in detail the non-equilibrium fluctuation-dissipation ... More

Identifiability of Gaussian structural equation models with equal error variancesMay 11 2012Aug 28 2013We consider structural equation models in which variables can be written as a function of their parents and noise terms, which are assumed to be jointly independent. Corresponding to each structural equation model, there is a directed acyclic graph describing ... More

Percolation HamiltoniansFeb 26 2010Jan 09 2011There has been quite some activity and progress concerning spectral asymptotics of random operators that are defined on percolation subgraphs of different types of graphs. In this short survey we record some of these results and explain the necessary ... More

Some limit results for Markov chains indexed by treesJun 14 2014We consider a sequence of Markov chains $(\mathcal X^n)_{n=1,2,...}$ with $\mathcal X^n = (X^n_\sigma)_{\sigma\in\mathcal T}$, indexed by the full binary tree $\mathcal T = \mathcal T_0 \cup \mathcal T_1 \cup ...$, where $\mathcal T_k$ is the $k$th generation ... More

A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart AlgebraMay 11 2015Lie-Rinehart algebras, also known as Lie algebroids, give rise to Hopf algebroids by a universal enveloping algebra construction, much as the universal enveloping algebra of an ordinary Lie algebra gives a Hopf algebra, of infinite dimension. In finite ... More

Some notes on biasedness and unbiasedness of two-sample Kolmogorov-Smirnov testJun 28 2011This paper deals with two-sample Kolmogorov-Smirnov test and its biasedness. This test is not unbiased in general in case of different sample sizes. We found out most biased distribution for some values of significance level $\alpha$. Moreover we discovered ... More

Symplectic homology of some Brieskorn manifoldsFeb 16 2015Feb 17 2016This paper consists of two parts. In the first part, we use symplectic homology to distinguish the contact structures on the Brieskorn manifolds $\Sigma(2l,2,2,2)$, which contact homology cannot distinguish. This answers a question from [22]. In the second ... More

Zeta-equivalent digraphs: Simultaneous cospectralityDec 15 2014May 14 2015We introduce a zeta function of digraphs that determines, and is determined by, the spectra of all linear combinations of the adjacency matrix, its transpose, the out-degree matrix, and the in-degree matrix. In particular, zeta-equivalence of graphs encompasses ... More

Context for models of concurrencyAug 29 2006Many categories have been used to model concurrency. Using any of these, the challenge is to reduce a given model to a smaller representation which nevertheless preserves the relevant computer-scientific information. That is, one wants to replace a given ... More

A finite alternation result for reversible boolean circuitsApr 09 2016We say that a reversible boolean function on n bits has alternation depth d if it can be written as the sequential composition of d reversible boolean functions, each of which acts only on the top n-1 bits or on the bottom n-1 bits. We show that every ... More

The quantum state-dependent gauge fields of JacobiApr 18 2016May 25 2016It is commonly understood that the Yang-Mills non-Abelian gauge fields is the natural generalization of the well known Abelian gauge group symmetry $U(1)$ in the electrodynamics. Taking into account that the problems of the localization and divergences ... More

The macroeconomic effect of the information and communication technology in HungaryApr 06 2012It was not until the beginning of the 1990s that the effects of information and communication technology on economic growth as well as on the profitability of enterprises raised the interest of researchers. After giving a general description on the relationship ... More

Mathematical Analysis of Money in the Scope of AusterityMay 23 2013Jun 10 2013This summarizes the study of the financial and economic crisis in Europe. The starting questions were: 1) Why do we have a crisis? Unde venis? 2) What will be the outcome? Quo vadis? Here is the reasoning which touches many areas, ranging from financial ... More

A sharp upper bound for the independence numberJul 30 2010Aug 18 2013An $r$-graph $G$ is a pair $(V,E)$ such that $V$ is a set and $E$ is a family of $r$-element subsets of $V$. The \emph{independence number} $\alpha(G)$ of $G$ is the size of a largest subset $I$ of $V$ such that no member of $E$ is a subset of $I$. The ... More

The maximum product of weights of cross-intersecting familiesDec 30 2015Two families $\mathcal{A}$ and $\mathcal{B}$ of sets are said to be cross-$t$-intersecting if each set in $\mathcal{A}$ intersects each set in $\mathcal{B}$ in at least $t$ elements. An active problem in extremal set theory is to determine the maximum ... More

Patience vs. Impatience of Stock TradersApr 06 2012Jun 18 2014An ability to postpone one's execution without penalty provides an important strategic advantage in high-frequency trading. To elucidate competition between traders one has to formulate to a quantitative theory of formation of the execution price from ... More

Topology of Platonic Spherical Manifolds: From Homotopy to Harmonic AnalysisApr 05 2015We carry out the harmonic analysis on four Platonic spherical three-manifolds with different topologies. Starting out from the homotopies (Everitt 2004), we convert them into deck operations, acting on the simply connected three-sphere as the cover, and ... More

Hot Scalar Theory in Large N: Bose-Einstein CondensationOct 18 2000I review the Bose-Einstein condensation phase transition of dilute gases of cold atoms, for particle theorists acquainted with methods of field theory at finite temperature. I then discuss how the dependence of the phase transition temperature on the ... More

Phase Transition Temperatures at Next-to-Leading OrderApr 23 1992Broken gauge symmetries are typically restored at high temperature, and the leading-order result for the critical temperature $T_c$ was found many years ago by Weinberg and by Dolan and Jackiw. I find a simple expression for the next-to-leading order ... More

Gluon Bremsstrahlung in Weakly-Coupled PlasmasJul 06 2009Sep 10 2009I report on some theoretical progress concerning the calculation of gluon bremsstrahlung for very high energy particles crossing a weakly-coupled quark-gluon plasma. (i) I advertise that two of the several formalisms used to study this problem, the BDMPS-Zakharov ... More

Hot or dense matterOct 16 2000I review some properties of hot and/or dense releativistic matter. This review is aimed at a general audience of particle physicists.

An effective theory for omega << k << gT color dynamics in hot non-Abelian plasmasDec 10 1999A proper sequence of effective theories, corresponding to larger and larger distance scales, is crucial for analyzing real-time equilibrium physics in hot non-Abelian plasmas. For the study of color dynamics (by which I mean physics involving long wavelength ... More

Rates for non-perturbative processes in hot non-abelian plasmaOct 01 1998[Talk given at "Continuous Advances in QCD '98."] I give a simple physical picture of why the rate $\Gamma$ per unit volume of non-perturbative processes in hot non-Abelian plasmas (such as electroweak baryon number violation in the very early universe) ... More

B Violation in the Hot Standard ModelJun 09 1997I explain, as simply and pedagogically as I can, recent arguments that the high-temperature baryon number violation rate depends on the electroweak coupling as $\Gamma = # \alpha_\w^5 T^4$ (up to higher order corrections). This is in contrast to the form ... More

Numerical Analysis of the Anderson LocalizationSep 22 2006The aim of this paper is to demonstrate, by simple numerical simulations, the main transport properties of disordered electron systems.

Dimension dependence of the conductance distribution in the non-metallic regimesSep 17 2000Jan 18 2002We study numerically the form of the conductance distribution in the non-metallic regime for (1) weakly disordered systems which become insulating due to increase of the system length and (2) cubic d-dimensional systems, in which localization occours ... More

Hyperbolic automorphisms of free groupsJun 02 1999Sep 28 1999We prove that an automorphism $\phi:F\to F$ of a finitely generated free group $F$ is hyperbolic in the sense of Gromov if it has no nontrivial periodic conjugacy classes.

An Implementation of the Bestvina-Handel Algorithm for Surface HomeomorphismsMay 25 1999May 26 1999Bestvina and Handel have found an effective algorithm that determines whether a given homeomorphism of an orientable, possibly punctured surface is pseudo-Anosov. We present a software package in Java that realizes this algorithm for surfaces with one ... More

Homology groups of filtrationsJan 11 2011Apr 28 2011Such modern applications of topology as data analysis and digital image analysis have to deal with noise and other uncertainty. In this environment, topological spaces often appear equipped with a real valued function. Persistence is a measure of robustness ... More

On the Time Dependent Gross Pitaevskii- and Hartree EquationAug 08 2008We are interested in solutions $\Psi_t$ of the Schr\"odinger equation of $N$ interacting bosons under the influence of a time dependent external field, where the range and the coupling constant of the interaction scale with $N$ in such a way, that the ... More

Navier-Stokes equations and fluid turbulenceMar 27 2000An Eulerian-Lagrangian approach to incompressible fluids that is convenient for both analysis and physics is presented. Bounds on burning rates in combustion and heat transfer in convection are discussed, as well as results concerning spectra.

An almost trivial proof of the 4-colour theoremAug 27 2004Jun 25 2013Proving for triangulations an extended (sharper) version of the 4-colour theorem by induction, we manage to exclude the case which led to the failure of Kempe's attempted proof. The new idea is to claim the existence of a "nice" 4-colouring, in which ... More

alpha-nucleus potentials for the neutron-deficient p nucleiJan 31 2000alpha-nucleus potentials are one important ingredient for the understanding of the nucleosynthesis of heavy neutron-deficient p nuclei in the astrophysical gamma-process where these p nuclei are produced by a series of (gamma,n), (gamma,p), and (gamma,alpha) ... More

Simulations of R-parity Violating SUSY ModelsJan 10 2001In recent years there has been a great deal of interest in R-parity violating supersymmetric models. We explain the motivation for studying these models and explore the various phenomenological consequences of R-parity violation. It has become essential ... More

Gamma Ray BurstsApr 09 2012Apr 12 2012Gamma-ray bursts have been detected at photon energies up to tens of GeV. We review some recent developments in the X-ray to GeV photon phenomenology in the light of Swift and Fermi observations, and some of the theoretical models developed to explain ... More

Statistical Properties of Cosmological FluctuationsSep 27 2002In this pedagogical lecture, I introduce some of the basic terminology and description of fluctuating fields as they occur on cosmology. I define various statistical, cosmological and sample homogeneity and explain what is meant by the fair sample hypothesis ... More

On the class of chiral symmetry representations with scalar and pseudoscalar fieldsMay 12 2008In the following few pages an account is given of a theme, which I began in 1966 and followed to the present.

Bernoulli crossed products without almost periodic weightsAug 29 2015We prove a classification result for a large class of noncommutative Bernoulli crossed products $(P,\phi)^\Lambda \rtimes \Lambda$ without almost periodic states. Our results improve the classification results from [1], where only Bernoulli crossed products ... More

Pulse Shaping, Localization and the Approximate Eigenstructure of LTV ChannelsDec 15 2009In this article we show the relation between the theory of pulse shaping for WSSUS channels and the notion of approximate eigenstructure for time-varying channels. We consider pulse shaping for a general signaling scheme, called Weyl-Heisenberg signaling, ... More

On the spectrum, no ghost theorem and modular invariance of $W_3$ stringsDec 02 1992A spectrum generating algebra is constructed and used to find all the physical states of the $W_3$ string with standard ghost number. These states are shown to have positive norm and their partition function is found to involve the Ising model characters ... More

Generalised BPS conditionsAug 16 2012We write down two E11 invariant conditions which at low levels reproduce the known half BPS conditions for type II theories. These new conditions contain, in addition to the familiar central charges, an infinite number of further charges which are required ... More

Can one determine cosmological parameters from multi-plane strong lens systems?Jun 24 2014Sep 22 2014Strong gravitational lensing of sources with different redshifts has been used to determine cosmological distance ratios, which in turn depend on the expansion history. Hence, such systems are viewed as potential tools for constraining cosmological parameters. ... More

Detection of (dark) matter concentrations via weak gravitational lensingJan 10 1996Jan 16 1996The distortion of images of faint background galaxies by (weak) gravitational lensing can be used to measure the mass distribution of the deflector. The image distortions can be used to define a weighted mean of the mass inside a circular aperture, as ... More

Running mass of the rho0 meson's implication for the dilepton mass spectrum and the mu+mu-/e+e- branching ratio in the K+ --> pi+l+l- decaysMar 01 1999We make an attempt to resolve the discrepancy of the observed e+e- mass spectrum in the K+ --> pi+e+e- decay with that predicted by meson dominance. To this end we investigate the properties of the rho0 propagator. We use dispersion relations to evaluate ... More

A Robust Mathematical Model for Clauser-Horne Experiments, With Implications for Rigorous Statistical AnalysisDec 10 2013Mar 27 2015Recent experiments have reached detection efficiencies sufficient to close the detection loophole, testing the Clauser-Horne (CH) version of Bell's inequality. For a similar future experiment to be completely loophole-free, it will be important to have ... More

A Rigorous Analysis of the Clauser-Horne-Shimony-Holt Inequality Experiment When Trials Need Not Be IndependentNov 14 2013May 19 2014The Clauser-Horne-Shimony-Holt (CHSH) inequality is a constraint that local theories must obey. Quantum Mechanics predicts a violation of this inequality in certain experimental settings. Treatments of this subject frequently make simplifying assumptions ... More

No Spontaneous CP Violation at Finite Temperature in the MSSM?Oct 24 2000In order to generate the baryon asymmetry of the Universe sufficiently strong CP violation is needed. It was therefore proposed that at finite temperature there might be spontaneous (transitional) CP violation within the bubble walls at the electroweak ... More

Bubble Wall Profiles in Supersymmetric ModelsJan 15 1999We present solutions to the equations of motion for bubble wall profiles in the minimal and a non minimal supersymmetric extension of the Standard model. We discuss the method of the numerical approach and present results for the two models (MSSM and ... More

On the Frobenius-Schur indicators for quasi-Hopf algebrasSep 07 2003Mason and Ng have given a generalization to semisimple quasi-Hopf algebras of Linchenko and Montgomery's generalization to semisimple Hopf algebras of the classical Frobenius-Schur theorem for group representations. We give a simplified proof, in particular ... More

Quantum torsors with fewer axiomsJan 31 2003We give a definition of a noncommutative torsor by a subset of the axioms previously given by Grunspan. We show that noncommutative torsors are an equivalent description of Hopf-Galois objects (without specifying the Hopf algebra). In particular, this ... More

Identities in modular arithmetic from reversible coherence operationsApr 26 2013This paper investigates some issues arising in categorical models of reversible logic and computation. Our claim is that the structural (coherence) isomorphisms of these categorical models, although generally overlooked, have decidedly non-trivial computational ... More

Marginal likelihood for parallel seriesOct 22 2008Suppose that $k$ series, all having the same autocorrelation function, are observed in parallel at $n$ points in time or space. From a single series of moderate length, the autocorrelation parameter $\beta$ can be estimated with limited accuracy, so we ... More

Search for the Higgs boson in the gamma gamma final state at the TevatronSep 04 2010We present searches for Higgs bosons decaying to the di-photon final state using up to 5.4/fb of data at a center-of-mass energy of 1.96 TeV at the Fermilab Tevatron collider. Whilst the branching ratio to the di-photon final state is small in the Standard ... More

QCD for Collider PhysicsApr 14 2011May 09 2012These lectures are directed at a level suitable for graduate students in experimental and theoretical High Energy Physics. They are intended to give an introduction to the theory and phenomenology of quantum chromodynamics (QCD) as it is used in collider ... More

Imfit: A Fast, Flexible New Program for Astronomical Image FittingAug 05 2014Dec 03 2014I describe a new, open-source astronomical image-fitting program called Imfit, specialized for galaxies but potentially useful for other sources, which is fast, flexible, and highly extensible. A key characteristic of the program is an object-oriented ... More

How Large Are the Bars in Barred Galaxies?Aug 26 2005I present a study of the sizes (semimajor axes) of bars in disc galaxies, combining a detailed study of 65 S0-Sb galaxies with measurements of 70 Sb-Sd galaxies from Martin (1995). As has been noted before with smaller samples, bars in early-type (S0-Sb) ... More

Lyapunov exponent for inertial particles in the 2D Kraichnan model as a problem of Anderson localization with complex valued potentialNov 14 2005We exploit the analogy between dynamics of inertial particle pair separation in a random-in-time flow and the Anderson model of a quantum particle on the line in a spatially random real-valued potential. Thereby we get an exact formula for the Lyapunov ... More

Background Fluctuations in Heavy Ion Jet ReconstructionDec 10 2010Jan 03 2011We present a new study by the STAR Collaboration of background fluctuations in jet reconstruction in heavy ion collisions.

A mixed method for elasticity with the curl of displacements as a drilling degree of freedomOct 16 2012We present a mixed method for the linearized elasticity equations with independent approximation of the curl of the displacements. The curl can be seen as a drilling degree of freedom allowing for coupling with rotating objects and the direct application ... More

Observation of SCS decay $D^{+,0}\toωπ$ and branching fraction measurement of $D^0\to K_S^0K^+K^-$Jun 23 2015Jun 26 2015Using a data set of 2.92 $fb^{-1}$ of $e^+e^-$ collisions at the $\Psi$(3770) mass accumulated with the BESIII experiment we present preliminary results from our study of the singly Cabibbo-suppressed decays $D\to\omega\pi$ and the decay of $D^0\to K_S^0K^+K^-$. ... More

Extended Josephson Relation and Abrikosov lattice deformationDec 20 2011Feb 15 2012From the point of view of time-dependent Ginzburg Landau (TDGL) theory, a Josephson-like relation is derived for an Abrikosov vortex lattice accelerated and deformed by applied fields. Beginning with a review of the Josephson Relation derived from the ... More

Velocity Fields of Disk GalaxiesApr 27 2002Two dimensional velocity fields have been an important tool for nearly 30 years and are instrumental in understanding galactic mass distributions and deviations from an ideal galactic disk. Recently a number of new instruments have started to produce ... More

Jupiter Effect (Asymmetrical Production of Dilepton Pairs)Feb 01 1998Specific results of the computer simulation of dilepton production from expanding pion gas created in Pb+Pb 160 GeV/n collisions are presented. Azimuthal asymmetry of dilepton pairs in non-central collisions and interesting shape of the rapidity distribution ... More

Anisotropy as a Consequence of Pre-equilibrium RescatteringJan 27 1998It is shown that azimuthal asymmetry in transverse momentum distribution of particles observed in non-central heavy ion collisions can originate from pre-equilibrium rescattering. The phenomenon is studied using computer simulation of expanding pion gas ... More

From Dual Models to String TheoryFeb 22 2008A personal view is given of the development of string theory out of dual models, including the analysis of the structure of the physical states and the proof of the No-Ghost Theorem, the quantization of the relativistic string, and the calculation of ... More

Azimuthally Sensitive HBT AnalysisSep 01 1996In the paper we investigate a possibility to perform shape-sensitive HBT analysis in transversal plane. We study presently used Side-Out decomposition of the correlation function and we do not find it to be very sensitive for the detection of a shape ... More

Toward Higher Spin dS3/CFT2Nov 01 2011I take steps toward the construction of a CFT dual to Vasiliev's higher spin gravity in three dimensional de Sitter space. There are two main claims. The first is that higher spin de Sitter symmetries are related to extended Virasoro symmetries, as in ... More

The enumeration of edge colorings and Hamiltonian cycles by means of symmetric tensorsMar 21 2004Following Penrose, we introduce a family of graph functions defined in terms of contractions of certain products of symmetric tensors along the edges of a graph. Special cases of these functions enumerate edge colorings and cycles of arbitrary length ... More

Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravityNov 05 1998A formula for the generating function of the Weil-Petersson volumes of moduli spaces of pointed curves that is identical to the genus expansion of the free energy in two dimensional gravity is obtained. The contribution of arbitrary genus is expressed ... More

Eigenstate thermalization: Deutsch's approach and beyondMay 28 2015The eigenstate thermalization hypothesis (ETH) postulates that the energy eigenstates of an isolated many-body system are thermal, i.e., each of them already yields practically the same expectation values as the microcanonical ensemble at the same energy. ... More

Brownian motors: noisy transport far from equilibriumOct 17 2000Sep 04 2001Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal noise and some ... More

Random Normal Matrices and Polynomial CurvesJul 03 2007We show that in the large matrix limit, the eigenvalues of the normal matrix model for matrices with spectrum inside a compact domain with a special class of potentials homogeneously fill the interior of a polynomial curve uniquely defined by the area ... More

Everything you wanted to know about Data Analysis and Fitting but were afraid to askOct 14 2012Oct 25 2014These notes discuss, in a style intended for physicists, how to average data and fit it to some functional form. I try to make clear what is being calculated, what assumptions are being made, and to give a derivation of results rather than just quote ... More

A Roof over your Head; House Price Peaks in the UK and IrelandJun 07 2006We analyse, following recent work of Roehner, changes in house prices for both the UK and Ireland. We conclude that prices in London have reached a tipping point and prices relative to inflation are set to fall over the next few years. If inflation does ... More

Models for Type Ia Supernovae and CosmologySep 03 1997From the spectra and light curves it is clear that SNIa events are thermonuclear explosions of white dwarfs. However, details of the explosion are highly under debate. Here, we present detailed models which are consistent with respect to the explosion ... More

Chiral symmetry on the latticeJun 19 2004Jul 09 2004As a non-perturbative and gauge invariant regularization the lattice provides a tool for deeper understanding of the celebrated Yang-Mills theory, QCD and chiral gauge theories. For illustration, I discuss some analytic developments on the lattice related ... More

The Catalan Equation in Finitely Generated DomainsOct 20 2016We consider the Catalan equation $x^p - y^q = 1$ in unknowns $x, y, p, q$, where $x, y$ are taken from an integral domain $A$ of characteristic $0$ that is finitely generated as a $\mathbb{Z}$-algebra and $p, q > 1$ are integers. We give explicit upper ... More

Lectures on Higgs moduli and abelianisationSep 02 2016These are largely expanded notes from lectures on Higgs moduli and abelianisation given in Angers, France (2014) and Guaruja, Brazil (2015). Dedicated to Ugo Bruzzo on his 60-th birthday.

$\mathbfα$-induced reaction cross sections in the mass range $\mathbf{A \approx 20 - 50}$: a critical reviewAug 29 2016In a recent review it was shown that the cross sections of $\alpha$-induced reactions in the $A \approx 20 - 50$ mass range follow a general and smooth trend in most cases. For comparison of cross sections of different targets at various energies the ... More

Challenges in Decomposing Encodings of Verification ProblemsJul 15 2016Modern program verifiers use logic-based encodings of the verification problem that are discharged by a back end reasoning engine. However, instances of such encodings for large programs can quickly overwhelm these back end solvers. Hence, we need techniques ... More

Fano resonances in dielectric, metallic and metamaterial photonic structuresAug 27 2016We investigate numerically Fano resonances excited in periodic arrays of dielectric, metallic and left-handed cylinders. Of particular interest are Fano resonances excited in the linear array of cylin- ders. We analyze spatial distribution and symmetry ... More

Digit Statistics of the First 22.4 Trillion Decimal Digits of PiNov 30 2016The mathematical constant pi has recently been computed up to 22,459,157,718,361 decimal and 18,651,926,753,033 hexadecimal digits. As a simple check for the normality of pi, the frequencies of all sequences with length one, two and three in the base ... More

Geometric Decompositions of Bell Polytopes with Practical ApplicationsNov 12 2015Apr 22 2016In the well-studied (2,2,2) Bell experiment consisting of two parties, two measurement settings per party, and two possible outcomes per setting, it is known that if the experiment obeys no-signaling constraints, then the set of admissible experimental ... More

Finiteness Results for Hilbert's Irreducibility TheoremSep 11 2001Let f(t,X) be an irreducible polynomial over the field of rational functions k(t), where k is a number field. Let O be the ring of integers of k. Hilbert's irreducibility theorem gives infinitely many integral specializations of t to values a in O such ... More