Edge processes of one dimensional stochastic growth models
Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
Edge-reinforced random walk (ERRW), introduced by Coppersmith and Diaconis in 1986 [8], is a random process which takes values in the vertex set of a graph and is more likely to cross edges it has visited before. We show that it can be represented in terms of a vertex-reinforced jump process (VRJP) with independent gamma conductances; the VRJP was conceived by Werner and first studied by Davis and Volkov [10, 11], and is a continuous-time process favouring sites with more local time. We calculate,...
Elementary potential theory on the hypercube.
Éléments de probabilités quantiques. X. Approximation de l'oscillateur harmonique (d'après L. Accardi et A. Bach)
Equilibrium fluctuations for a one-dimensional interface in the solid on solid approximation.
Equilibrium fluctuations for lattice gases
Equilibrium states for the Landau-Fermi-Dirac equation
A kinetic collision operator of Landau type for Fermi-Dirac particles is considered. Equilibrium states are rigorously determined under minimal assumptions on the distribution function of the particles. The particular structure of the considered operator (strong non-linearity and degeneracy) requires a special investigation compared to the classical Boltzmann or Landau operator.
Equilibrium statistical mechanics of frustrated spin glasses : a survey of mathematical results
Equivalence of exponential decay rates for bootstrap percolation like cellular automata
Erdős-Renyi random graphs forest fires self-organized criticality.
Ergodic and central limit theorems in statistical mechanics in continuous case
Ergodic behaviour of “signed voter models”
We answer some questions raised by Gantert, Löwe and Steif (Ann. Inst. Henri Poincaré Probab. Stat.41(2005) 767–780) concerning “signed” voter models on locally finite graphs. These are voter model like processes with the difference that the edges are considered to be either positive or negative. If an edge between a site and a site is negative (respectively positive) the site will contribute towards the flip rate of if and only if the two current spin values are equal (respectively opposed)....
Ergodic theorems for surfaces with minimal random weights
Ergodicity of PCA: equivalence between spatial and temporal mixing conditions.
Estimating interactions in binary data sequences
Estimating interactions in binary lattice data with nearest-neighbor property
Estimation and annealing for Gibbsian fields
Estimation de la densité du recuit simulé
Euclidean quantum mechanics : analytical approach
Euler hydrodynamics for attractive particle systems in random environment
We prove quenched hydrodynamic limit under hyperbolic time scaling for bounded attractive particle systems on in random ergodic environment. Our result is a strong law of large numbers, that we illustrate with various examples.