Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume
Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster.
Hydrodynamic scaling limit of continuum solid-on-solid model.
Hydrodynamical behavior of symmetric exclusion with slow bonds
We consider the exclusion process in the one-dimensional discrete torus with points, where all the bonds have conductance one, except a finite number of slow bonds, with conductance , with . We prove that the time evolution of the empirical density of particles, in the diffusive scaling, has a distinct behavior according to the range of the parameter . If , the hydrodynamic limit is given by the usual heat equation. If , it is given by a parabolic equation involving an operator , where ...
Hydrodynamical limit for asymmetric attractive particle systems on
Hydrodynamical limit for the asymmetric zero-range process
Hypercontractivité et isopérimétrie gaussienne. Applications aux systèmes de spins
Identification of waiting time distribution of M/G/1, M x/G/1, GI r/M/1 queueing systems.
Identités du type Baxter-Spitzer pour une classe de promenades aléatoires semi-markoviennes
Illustration of the quantum central limit theorem by independent addition of spins
Imbedded Markov Chains in Queueing Systems M-G-1 and G1-M-1 with Limited Waiting Room
Immediate service in a Beneš-type G/G/1 queueing system
Increasing propagation of chaos for mean field models
Inégalités de corrélation sur et dans
Inequalities for multiserver queues and a tandem queue
Inequality of two critical probabilities for percolation.
Inferring the residual waiting time for binary stationary time series
For a binary stationary time series define to be the number of consecutive ones up to the first zero encountered after time , and consider the problem of estimating the conditional distribution and conditional expectation of after one has observed the first outputs. We present a sequence of stopping times and universal estimators for these quantities which are pointwise consistent for all ergodic binary stationary processes. In case the process is a renewal process with zero the renewal state...
Infinite queueing systems with tree structure
We focus on invariant measures of an interacting particle system in the case when the set of sites, on which the particles move, has a structure different from the usually considered set . We have chosen the tree structure with the dynamics that leads to one of the classical particle systems, called the zero range process. The zero range process with the constant speed function corresponds to an infinite system of queues and the arrangement of servers in the tree structure is natural in a number...
Infinite system of Brownian balls with interaction: the non-reversible case
We consider an infinite system of hard balls in undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also show that Gibbs measures are reversible measures.
Infinite trees and inverse gaussian random variables