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.
Euler's formulae for and products of Cauchy variables.
Evolution of the interfaces in a two dimensional Potts model.
Exchangeable fragmentation-coalescence processes and their equilibrium measures.
Excited against the tide: a random walk with competing drifts
We study excited random walks in i.i.d. random cookie environments in high dimensions, where the th cookie at a site determines the transition probabilities (to the left and right) for the th departure from that site. We show that in high dimensions, when the expected right drift of the first cookie is sufficiently large, the velocity is strictly positive, regardless of the strengths and signs of subsequent cookies. Under additional conditions on the cookie environment, we show that the limiting...