Results for "Peter Jeglič"

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Emission of twin jets from a driven matter-wave soliton in a quasi-one-dimensional geometryMay 24 2019The modulation of the interaction between the atoms in a matter-wave soliton in a quasi-one-dimensional optical trap triggers an emission of correlated atom jets. We characterize the dependence of jet properties on the frequency, amplitude and length ... More
Thermally Activated Motion of Sodium Cations in Insulating Parent Low-Silica X ZeoliteJul 06 2017We report a $^{23}$Na spin-lattice relaxation rate, $T_1^{-1}$, in low-silica X zeolite. $T_1^{-1}$ follows multiple BPP-type behavior as a result of thermal motion of sodium cations in insulating material. The estimated lowest activation energy of 15~meV ... More
Cesium bright matter-wave solitons and soliton trainsFeb 08 2019A setup for studying bright matter-wave solitons of a cesium Bose-Einstein condensate (BEC) is presented. Production of a single soliton is demonstrated and dependence of soliton atom number on the interatomic interaction is studied. Formation of soliton ... More
Cesium bright matter-wave solitons and soliton trainsFeb 08 2019Mar 05 2019A study of bright matter-wave solitons of a cesium Bose-Einstein condensate (BEC) is presented. Production of a single soliton is demonstrated and dependence of soliton atom number on the interatomic interaction is investigated. Formation of soliton trains ... More
NMR study of thermally activated paramagnetism in metallic low-silica X zeolite filled with sodium atomsDec 28 2012We report a \^{23}Na and \^{27}Al nuclear magnetic resonance (NMR) investigation of low-silica X (LSX) zeolite with chemical formula Na_{12}Al_{12}Si_{12}O_{48} (Na_{12}-LSX) loaded with n additional guest sodium atoms. Na_{n}/Na_{12}-LSX exhibits an ... 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
A spatial model for selection and cooperationMar 02 2016Nov 02 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
Unconventional Magnetism in a Nitrogen-Based Analogue of Cupric OxideMay 09 2011Jun 30 2011We have investigated the magnetic properties of CuNCN, the first nitrogen-based analogue of cupric oxide, CuO. Our muon spin relaxation, nuclear magnetic resonance and electron spin resonance studies reveal that classical magnetic ordering is absent down ... 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
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
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
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
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
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
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
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
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
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 spatial model for selection and cooperationMar 02 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
The Tasaki-Crooks quantum fluctuation theoremMay 09 2007Starting out from the recently established quantum correlation function expression of the characteristic function for the work performed by a force protocol on the system [cond-mat/0703213] the quantum version of the Crooks fluctuation theorem is shown ... More
Studying Attractor Symmetries by Means of Cross Correlation SumsMay 02 1996We use the cross correlation sum introduced recently by H. Kantz to study symmetry properties of chaotic attractors. In particular, we apply it to a system of six coupled nonlinear oscillators which was shown by Kroon et al. to have attractors with several ... More
Model Checking for a Class of Weighted AutomataApr 15 2003A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper presents a new framework ... More
Evolution of magnetic and crystal structures in the multiferroic FeTe2O5BrFeb 21 2013Apr 09 2013Neutron diffraction and nuclear quadrupole resonance (NQR) measurements were employed to investigate magnetic order in the non-ferroelectric phase preceding the low-temperature multiferroic state in FeTe2O5Br. Refnement of the neutron diffraction data ... More
Magnetic Schrödinger operators and Mañé's critical valueOct 30 2014We study periodic magnetic Schr\"odinger operators on covers of closed manifolds in relation to Ma\~n\'e's critical energy values of the corresponding classical Hamiltonian systems. In particular, we show that if the covering transformation group is amenable, ... More
Modeling and Analysis of Information CommunitiesNov 28 2015Communities are an important feature of social networks. In fact, it seems that communities are necessary for a social network to be efficient. However, there exist very few formal studies of the actual role of communities in social networks, how they ... More
Hotelling's test for highly correlated dataJul 07 2010This paper is motivated by the analysis of gene expression sets, especially by finding differentially expressed gene sets between two phenotypes. Gene $\log_2$ expression levels are highly correlated and, very likely, have approximately normal distribution. ... More
The existence of designsJan 15 2014We prove the existence conjecture for combinatorial designs, answering a question of Steiner from 1853. More generally, we show that the natural divisibility conditions are sufficient for clique decompositions of simplicial complexes that satisfy a certain ... More
Self-Organizing Time Map: An Abstraction of Temporal Multivariate PatternsAug 09 2012This paper adopts and adapts Kohonen's standard Self-Organizing Map (SOM) for exploratory temporal structure analysis. The Self-Organizing Time Map (SOTM) implements SOM-type learning to one-dimensional arrays for individual time units, preserves the ... More
Expected degree for RNA secondary structure networksNov 01 2014Consider the network of all secondary structures of a given RNA sequence, where nodes are connected when the corresponding structures have base pair distance one. The expected degree of the network is the average number of neighbors, where average may ... More
From $μ$-Regular Expressions to Pushdown AutomataOct 21 2016We extend Antimirov's partial derivatives from regular expressions to $\mu$-regular expressions that describe context-free languages. We prove the correctness of partial derivatives as well as the finiteness of the set of iterated partial derivatives. ... More
Higher frobenius-schur indicators for drinfeld doubles of finite groups through characters of centralizersApr 08 2016We present a new approach to calculating the higher Frobenius-Schur indicators for the simple modules over the Drinfeld double of a finite group. In contrast to the formula by Kashina-Sommerh{\"a}user-Zhu that involves a sum over all group elements satisfying ... More
The Not-so-simple Pendulum: Balancing a Pencil on its PointJun 04 2014Does quantum mechanics matter at everyday scales? We generally assume that its consequences are confined to microscopic scales. It would be very surprising if quantum effects were to be manifest in a macroscopic system. This has been claimed for the problem ... More
A Robust Text Processing Technique Applied to Lexical Error RecoveryFeb 05 1997This thesis addresses automatic lexical error recovery and tokenization of corrupt text input. We propose a technique that can automatically correct misspellings, segmentation errors and real-word errors in a unified framework that uses both a model of ... More
Good Colour Maps: How to Design ThemSep 12 2015Many colour maps provided by vendors have highly uneven perceptual contrast over their range. It is not uncommon for colour maps to have perceptual flat spots that can hide a feature as large as one tenth of the total data range. Colour maps may also ... More
A Psychologically-Motivated Model of Opinion Change with Applications to American PoliticsJun 30 2014Sep 09 2016Agent-based models are versatile tools for studying how societal opinion change, including political polarization and cultural diffusion, emerges from individual behavior. This study expands agents' psychological realism using empirically-motivated rules ... More
Stars on treesMar 15 2016For a positive integer $r$ and a vertex $v$ of a graph $G$, let $\mathcal{I}_G^{(r)}(v)$ denote the set of all independent sets of $G$ that have exactly $r$ elements and contain $v$. Hurlbert and Kamat conjectured that for any $r$ and any tree $T$, there ... More
The maximum product of sizes of cross-$t$-intersecting uniform familiesDec 11 2013We say that a set $A$ \emph{$t$-intersects} a set $B$ if $A$ and $B$ have at least $t$ common elements. Two families $\mathcal{A}$ and $\mathcal{B}$ are said to be \emph{cross-$t$-intersecting} if each set in $\mathcal{A}$ $t$-intersects each set in $\mathcal{B}$. ... More
Quark-Gluon Plasmas and ThermalizationAug 06 2007Jan 14 2008In these lectures, I will attempt a pedagogical and qualitative introduction to the theory of equilibrium and thermalization of quark-gluon plasmas. I assume only that the reader is familiar with quantum field theory at zero temperature and with QCD as ... More
Symmetric path integrals for stochastic equations with multiplicative noiseDec 01 1999A Langevin equation with multiplicative noise is an equation schematically of the form dq/dt = - F(q) + e(q) xi, where e(q) xi is Gaussian white noise whose amplitude e(q) depends on q itself. I show how to convert such equations into path integrals. ... More
The Electroweak Phase Transition, Part 1: Review of Perturbative MethodsOct 14 1994Talk presented at the conference Quarks `94: Vladimir, Russia. I review the successes and limitations of standard perturbative methods for studying the order and strength of the electroweak phase transition.
Probability distribution of the conductance at the mobility edgeJan 26 1999Distribution of the conductance P(g) at the critical point of the metal-insulator transition is presented for three and four dimensional orthogonal systems. The form of the distribution is discussed. Dimension dependence of P(g) is proven. The limiting ... More
Frisch, Muller and Belot on an Inconsistency in Classical ElectrodynamicsNov 20 2007This paper follows up a recent debate as to whether classical electrodynamics is inconsistent. I suggest that disagreements can be managed by disambiguating 'theory' in two different ways.
Bounds for Turbulent TransportApr 11 2000We present rigorous bounds for the average heat transport in Boussinesq Rayleigh-Benard convection.
Higher order asymptotics for the MSE of the sample median on shrinking neighborhoodsJun 01 2010We provide an asymptotic expansion of the maximal mean squared error (MSE) of the sample median to be attained on shrinking gross error neighborhoods about an ideal central distribution. More specifically, this expansion comes in powers of n^{-1/2}, for ... More
Real Formulations of Complex Gravity and a Complex Formulation of Real GravityMay 02 1994Two gauge and diffeomorphism invariant theories on the Yang-Mills phase space are studied. They are based on the Lie-algebras $so(1,3)$ and $\widetilde{so(3)}$ -- the loop-algebra of $so(3)$. Although the theories are manifestly real, they can both be ... More
Unification of Gravity and Yang-Mills Theory in (2+1)-DimensionsNov 10 1992A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein gravity with a cosmological ... More
Ashtekar's Variables for Arbitrary Gauge GroupApr 22 1992A generally covariant gauge theory for an arbitrary gauge group with dimension $\geq 3$, that reduces to Ashtekar's canonical formulation of gravity for SO(3,C), is presented. The canonical form of the theory is shown to contain only first class constraints. ... More
A Modular Invariant Quantum Theory From the Connection Formulation of (2+1)-Gravity on the TorusApr 10 1995By choosing an unconventional polarization of the connection phase space in (2+1)-gravity on the torus, a modular invariant quantum theory is constructed. Unitary equivalence to the ADM-quantization is shown.
Actions for Gravity, with Generalizations: A ReviewMay 13 1993Related to the classical Ashtekar Hamiltonian, there have been discoveries regarding new classical actions for gravity in (2+1)- and (3+1)-dimensions, and also generalizations of Einstein's theory of gravity. In this review, I will try to clarify the ... More
Generalized Eigenfunctions for critical potentials with small perturbationsAug 01 2006May 09 2007We estimate the behavior of the generalized eigenfunctions of critical Dirac operators (which are Dirac operators with eigenfunctions and/or resonances for $E=m$) plus small perturbations in the potential. The results also apply for other differential ... More
Simulation of the matrix Bingham-von Mises-Fisher distribution, with applications to multivariate and relational dataDec 27 2007Orthonormal matrices play an important role in reduced-rank matrix approximations and the analysis of matrix-valued data. A matrix Bingham-von Mises-Fisher distribution is a probability distribution on the set of orthonormal matrices that includes linear ... More
Gravitational self-force in scalar-tensor gravityJul 15 2015Nov 07 2015Motivated by the discovery of floating orbits and the potential to provide extra constraints on alternative theories, in this paper we derive the self-force equation for a small compact object moving on an accelerated world line in a background spacetime ... More
Gravitational self-force in non-vacuum spacetimes: an effective field theory derivationMay 14 2015Jul 13 2015In this paper we investigate the motion of small compact objects in non-vacuum spacetimes using methods from effective field theory in curved spacetime. Although a vacuum formulation is sufficient in many astrophysical contexts, there are applications ... More
On systems having Poincaré and Galileo symmetrySep 19 2014Nov 13 2014Using the wave equation in d > or = 1 space dimensions it is illustrated how dynamical equations may be simultaneously Poincar\'e and Galileo covariant with respect to different sets of independent variables. This provides a method to obtain dynamics-dependent ... More
Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relationMay 25 2004We discuss the particle method in quantum mechanics which provides an exact scheme to calculate the time-dependent wavefunction from a single-valued continuum of trajectories where two spacetime points are linked by at most a single orbit. A natural language ... More
Sharp estimate on the supremum of a class of partial sums of small i.i.d. random variablesJul 04 2014We take an $L_1$-dense class of functions $\Cal F$ on a measurable space $(X,\Cal X)$ together with a sequence of independent, identically distributed $X$-space valued random variables $\xi_1,\dots,\xi_n$ and give a good estimate on the tail distribution ... More
On the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gasJul 15 2013In this work we study the time evolution of soft core bosons on a one-dimensional lattice, where the particles are initially quenched into a atomic density wave. At time $t=0$ the particles are released from the quench and can evolve under the dynamics ... More
Neutrino oscillations, a historical overview and its projectionMay 06 2005May 13 2005Three topics are discussed : 1 Base fermions and scalars in SO10, 2 Neutrino 'mass from mixing' in vacuo and in matter, 3 Some perspectives .
Generalised Space-time and Gauge TransformationsMar 25 2014We consider the generalised space-time introduced by the author in 2003 in the context of the non-linear realisation of the semi-direct product of E11 and its first fundamental representation. For all the fields we propose gauge transformations which ... More
E_{11} and Higher Spin TheoriesJan 03 2007Apr 20 2007We consider the previous proposal of the author to use an extension of spacetime obtained by taking the non-linear realisation of the semi-direct product of E_{11} with a set of generators belonging to one of the fundamental representations of E_{11}. ... More
Effective Lower Bounds for L(1,χ) via Eisenstein SeriesFeb 23 2016We give effective lower bounds for L(1,{\chi}) via Eisenstein series on {\Gamma}_0(q)\H. The proof uses the Maass-Selberg relation for truncated Eisenstein series and sieve theory in the form of the Brun-Titchmarsh inequality. The method follows closely ... More
Jet energy loss in heavy ion collisions from RHIC to LHC energiesApr 21 2011The suppression of hadron production originated from the induced jet energy loss is one of the most accepted and well understood phenomena in heavy ion collisions, which indicates the formation of color deconfined matter consists of quarks, antiquarks ... More
The Cohomology of Reflexive Sheaves on Smooth Projective 3-foldsApr 22 2005We study the cohomology of reflexive rank 2 sheaves on smooth projective threefolds. Applications are given to the moduli space of reflexive sheaves.
Yet another short proof of the 4-colour theoremNov 03 2006May 22 2009The better title is "Yet another FALSE proof of the 4-colour theorem." Please consider all versions of this paper as historical material on the way to a non-computer proof of the 4-colour theorem. Interpreted as proofs, all versions are wrong.
Searches for squarks and gluinos at D0Oct 14 2008Recent results obtained by the D0 Collaboration on searches for squarks and gluinos in proton-antiproton collisions at sqrt(s) =1.96 TeV at the Fermilab Tevatron collider are discussed. For the inclusive searches, events with multiple jets of hadrons ... More
Spectral functions for single- and multi-Impurity models using DMRGMar 30 2011Aug 12 2011This article focuses on the calculation of spectral functions for single- and multi-impurity models using the density matrix renormalization group (DMRG). To calculate spectral functions from DMRG, the correction vector method is presently the most widely ... More
Conjugate Projective LimitsDec 02 2010Jan 07 2011We characterize conjugate nonparametric Bayesian models as projective limits of conjugate, finite-dimensional Bayesian models. In particular, we identify a large class of nonparametric models representable as infinite-dimensional analogues of exponential ... More
The physics of volume renderingOct 22 2014Radiation transfer is an important topic in several physical disciplines, probably most prominently in astrophysics. Computer scientists use radiation transfer, among other things, for the visualisation of complex data sets with direct volume rendering. ... More
Non-Abelian gauge theory on noncommutative spacesNov 05 2001We present a brief introduction to the construction of gauge theories on noncommutative spaces with star products. Particular emphasis is given to issues related to non-Abelian gauge groups and charge quantization. This talk is based on joined work with ... More
On the algebra of local unitary invariants of pure and mixed quantum statesJan 13 2011We study the structure of the inverse limit of the graded algebras of local unitary invariant polynomials using its Hilbert series. For k subsystems, we conjecture that the inverse limit is a free algebra and the number of algebraically independent generators ... More
Local unitary invariants for multipartite quantum systemsJul 01 2010A method is presented to obtain local unitary invariants for multipartite quantum systems consisting of fermions or distinguishable particles. The invariants are organized into infinite families, in particular, the generalization to higher dimensional ... More
Anisotropic diffusion of electrons in liquid xenon with application to improving the sensitivity of direct dark matter searchesFeb 14 2011Feb 16 2011Electron diffusion in a liquid xenon time projection chamber has recently been used to infer the $z$ coordinate of a particle interaction, from the width of the electron signal. The goal of this technique is to reduce the background event rate by discriminating ... More
Electron Green's Function in the Planar t-J ModelNov 29 1996The electron Green's functions $G({\bf k},\omega)$ within the t-J model and in the regime of intermediate doping is studied analytically using equations of motion for projected fermionic operators and the decoupling of the self energy into the single-particle ... More
Hall effect of charge carriers in a correlated systemSep 30 1996The dynamical Hall response in a correlated electronic system is analysed within the linear response theory for tight binding models. At $T=0$ the d.c. Hall constant for a single quasiparticle is expressed explicitly via the charge stiffness, and a semiclassical ... More
Double-Barred GalaxiesAug 06 2009I present a brief review of what is known about double-barred galaxies, where a small ("inner") bar is nested inside a larger ("outer") bar; the review is focused primarily on their demographics and photometric properties. Roughly 20% of S0--Sb galaxies ... More
An asymptotic approximation for the permanent of a doubly stochastic matrixMay 25 2012A determinantal approximation is obtained for the permanent of a doubly stochastic matrix. For moderate-deviation matrix sequences, the asymptotic relative error is of order $O(n^{-1})$.
Discussion of "Analysis of variance--why it is more important than ever" by A. GelmanAug 26 2005Discussion of ``Analysis of variance--why it is more important than ever'' by A. Gelman [math.ST/0504499]
The M31 population of supersoft sourcesJan 12 1999The 1991 ROSAT PSPC M31 X-ray point source catalog has been screened in order to set up a sample of candidate supersoft sources in this galaxy, additional to the 16 supersoft sources of Supper et al. (1997). 26 candidates have been found. Absorbing hydrogen ... More
Search for Gravitational Wave Bursts from Soft Gamma RepeatersApr 28 2009We present the results of a LIGO search for short-duration gravitational waves (GW) associated with soft gamma repeater (SGR) bursts. This is the first GW search sensitive to neutron star f-modes, usually considered the most efficient GW emitting modes. ... More
Dynamics and performance of clock pendulumsJan 15 2015We analyze the dynamics of a driven, damped pendulum as used in mechanical clocks. We derive equations for the amplitude and phase of the oscillation, on time scales longer than the pendulum period. The equations are first order ODEs and permit fast simulations ... More
Projective geometries in exponentially dense matroids. IIJun 02 2013We show for each positive integer $a$ that, if $\mathcal{M}$ is a minor-closed class of matroids not containing all rank-$(a+1)$ uniform matroids, then there exists an integer $c$ such that either every rank-$r$ matroid in $\mathcal{M}$ can be covered ... More
Simulation Software: Then, Now and Virtual ObservatoryApr 26 2002Like hardware, evolution of software has had a major impact on the field of particle simulations. This paper illustrates how simulation software has evolved, and where it can go. In addition, with the various ongoing Virtual Observatory efforts, producers ... More
Holomorphic D7-Branes and Flavored N=1 Gauge TheoriesNov 10 2003May 28 2004We consider D7-branes in the gauge theory/string theory correspondence, using a probe approximation. The D7-branes have four directions embedded holomorphically in a non-compact Calabi-Yau 3-fold (which for specificity we take to be the conifold) and ... More
Equilibration of Isolated Macroscopic Quantum Systems under Experimentally Realistic ConditionsOct 22 2012In how far does an non-equilibrium initial ensemble evolve towards a stationary long time behavior for an isolated macroscopic quantum system? We demonstrate that deviations from a steady state indeed become unmeasurably small or exceedingly rare after ... More
Typicality for Generalized Microcanonical EnsemblesOct 23 2007For a macroscopic, isolated quantum system in an unknown pure state, the expectation value of any given observable is shown to hardly deviate from the ensemble average with extremely high probability under generic equilibrium and nonequilibrium conditions. ... More
Solute trapping and diffusionless solidification in a binary systemAug 29 2007Sep 01 2007Numerous experimental data on the rapid solidification of binary systems exhibit the formation of metastable solid phases with the initial (nominal) chemical composition. This fact is explained by complete solute trapping leading to diffusionless (chemically ... More
Notes on Schubert classes of a loop groupMay 25 2007In these notes, we survey the homology of the loop group Omega(K) of a compact group K, also known as the affine Grassmannian of a complex loop group. Using the Bott picture of H_*(Omega(K)), the homology algebra or Pontryagin ring, we obtain two new ... More
Density Theorems for Exceptional Eigenvalues for Congruence SubgroupsSep 21 2016Using the Kuznetsov formula, we prove several density theorems for exceptional Hecke and Laplacian eigenvalues of Maass cusp forms of weight 0 or 1 for the congruence subgroups $\Gamma_0(q)$, $\Gamma_1(q)$, and $\Gamma(q)$. These improve and extend upon ... More
Two-dimensional SIR epidemics with long range infectionMay 25 2013We extend a recent study of susceptible-infected-removed epidemic processes with long range infection (referred to as I in the following) from 1-dimensional lattices to lattices in two dimensions. As in I we use hashing to simulate very large lattices ... More
Opacity and Entanglement of Polymer ChainsJul 14 2000Aug 07 2000We argue that the mean crossing number of a random polymer configuration is simply a measure of opacity, without being closely related to entanglement as claimed by several authors. We present an easy way of estimating its asymptotic behaviour numerically. ... More
Are Damage Spreading Transitions Generically in the Universality Class of Directed Percolation?Sep 16 1994We present numerical evidence for the fact that the damage spreading transition in the Domany-Kinzel automaton found by Martins {\it et al.} is in the same universality class as directed percolation. We conjecture that also other damage spreading transitions ... More
Tricritical directed percolation in 2+1 dimensionsOct 17 2005Dec 06 2005We present detailed simulations of a generalization of the Domany-Kinzel model to 2+1 dimensions. It has two control parameters $p$ and $q$ which describe the probabilities $P_k$ of a site to be wetted, if exactly $k$ of its "upstream" neighbours are ... More
On L-spaces and non left-orderable 3-manifold groupsMar 26 2009We show that a class of 3-manifolds with non left-orderable fundamental group are Heegaard Floer homology L-spaces
Layered Heaps Beating Standard and Fibonacci Heaps in PracticeOct 12 2015We consider the classic problem of designing heaps. Standard binary heaps run faster in practice than Fibonacci heaps but have worse time guarantees. Here we present a new type of heap, a layered heap, that runs faster in practice than both standard binary ... More