Tagged particle limit for a Fleming-Viot type system.
Test for submodel in Gibbs-Markov binary random sequence
The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins.
The asymmetric simple exclusion model with multiple shocks
The atomic and molecular nature of matter.
The purpose of this article is to show that electrons and protons, interacting by Coulomb forces and governed by quantum statistical mechanics at suitable temperature and density, form a gas of Hydrogen atoms or molecules.
The best bounds in a theorem of Russell Lyons.
The center of mass of the ISE and the Wiener index of trees.
The classical limit of reduced quantum stochastic evolutions
The continuum reaction-diffusion limit of a stochastic cellular growth model
A competition-diffusion system, where populations of healthy and malignant cells compete and move on a neutral matrix, is analyzed. A coupled system of degenerate nonlinear parabolic equations is derived through a scaling procedure from the microscopic, Markovian dynamics. The healthy cells move much slower than the malignant ones, such that no diffusion for their density survives in the limit. The malignant cells may locally accumulate, while for the healthy ones an exclusion rule is considered....
The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
The escape model on a homogeneous tree.
The foundations of probability with black swans.
The generalized weighted probability measure on the symmetric group and the asymptotic behavior of the cycles
The goal of this paper is to analyse the asymptotic behaviour of the cycle process and the total number of cycles of weighted and generalized weighted random permutations which are relevant models in physics and which extend the Ewens measure. We combine tools from combinatorics and complex analysis (e.g. singularity analysis of generating functions) to prove that under some analytic conditions (on relevant generating functions) the cycle process converges to a vector of independent Poisson variables...
The incipient infinite cluster in high-dimensional percolation.
The jammed phase of the Biham-Middleton-Levine traffic model.
The Kolmogorov equation in the stochastic fragmentation theory and branching processes with infinite collection of particle types.
The large-scale limit of Dyson's hierarchical vector valued model at low temperatures. The non-gaussian case. Part I : limit theorem for the average spin
The large-scale limit of Dyson's hierarchical vector-valued model at low temperatures. The non-gaussian case. Part II : description of the large-scale limit
The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
The longtime behavior of branching random walk in a catalytic medium.