# Convergence to the maximal invariant measure for a zero-range process with random rates

@article{Andjel1999ConvergenceTT, title={Convergence to the maximal invariant measure for a zero-range process with random rates}, author={Enrique D. Andjel and Pablo A. Ferrari and Herv'e Guiol and Claudio Landim}, journal={Stochastic Processes and their Applications}, year={1999}, volume={90}, pages={67-81} }

## 23 Citations

### Zero-Range Process in Random Environment

- Mathematics
- 2019

We survey our recent articles dealing with one dimensional attractive zero range processes moving under site disorder. We suppose that the underlying random walks are biased to the right and so…

### Escape of mass in zero-range processes with random rates

- Mathematics
- 2007

We consider zero-range processes in Z d with site dependent jump rates. The rate for a particle jump from site x to y in Z d is given byxg(k)p(y− x), where p(� ) is a probability in Z d , g(k) is a…

### Properties of the limit shape for some last passage growth models in random environments (Dissertation)

- Mathematics
- 2011

### Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder

- MathematicsProbability Theory and Related Fields
- 2019

We study asymmetric zero-range processes on $$\mathbb {Z}$$ Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the…

### Monotonicity and condensation in homogeneous stochastic particle systems

- Mathematics
- 2018

We study stochastic particle systems that conserve the particle density and exhibit a condensation transition due to particle interactions. We restrict our analysis to spatially homogeneous systems…

### Condensation in the Inclusion Process and Related Models

- Mathematics
- 2010

For inclusion processes with homogeneous stationary measures, condensation is established in the limit of vanishing diffusion strength in the dynamics, and several details about how the limit is approached for finite and infinite systems are given.

### Large deviations for a zero mean asymmetric zero range process in random media

- Mathematics
- 2000

We consider an asymmetric zero range process in infinite volume with zero mean and random jump rates starting from equilibrium. We investigate the large deviations from the hydrodynamical limit of…

### Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder

- MathematicsProbability Theory and Related Fields
- 2019

We study asymmetric zero-range processes on Z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}…

### 3 Condensation in the inclusion process and related models

- Mathematics
- 2011

We study condensation in several particle systems related to the inclusion process. For an asymmetric one-dimensional version with closed boundary conditions and drift to the right, we show that all…

### Supercritical behavior of asymmetric zero-range process with sitewise disorder

- Mathematics
- 2014

We establish necessary and sufficient conditions for weak convergence to the upper invariant measure for asymmetric nearest neighbour zero range processes with non homogeneous jump rates. The class…

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