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We consider simple exclusion processes on Z for which the underlying random walk has a finite first moment and a non-zero mean and whose initial distributions are product measures with different… (More)

Convergence to the maximal invariant measure for a zero-range process with random rates. Abstract We consider a one-dimensional totally asymmetric nearest-neighbor zero-range process with… (More)

We study a one dimensional two-type contact process and give necessary and sufficient conditions on the initial configuration for both types to survive forever. These results are proved under the… (More)

- Enrique D. Andjel, M. V. Menshikov, V. V. Sisko
- 2006

We show that certain Markov jump processes associated to crystal growth models are positive recurrent when the parameters satisfy a rather natural condition. 1. Introduction. Gates and Westcott… (More)

We show that if μ is an invariant measure for the long range exclusion process putting no mass on the full configuration, L is the formal generator of that process, and f is a cylinder function, then… (More)

- Enrique D. Andjel, François Ezanno, Pablo Groisman, Leonardo T. Rolla
- 2015

The subcritical contact process seen from the rightmost infected site has no invariant measures. We prove that nevertheless it converges in distribution to a quasi-stationary measure supported on… (More)

- Enrique D. Andjel, Grégory Maillard, T. S. Mountford

We consider some questions raised by the recent paper of Gantert, Löwe and Steif (2005) concerning " signed " voter models on locally finite graphs. These are voter model like processes with the… (More)

- Enrique D. Andjel, Grégory Maillard, T. S. Mountford

We consider some questions raised by the recent paper of Gantert, Löwe and Steif (2005) concerning " signed " voter models on locally finite graphs. These are voter model like processes with the… (More)

- Enrique D. Andjel, Lawrence F. Gray
- J. Applied Probability
- 2016

A useful result about leftmost and rightmost paths in two dimensional bond percolation is proved. This result was introduced without proof in [5] in the context of the contact process in continuous… (More)

- Enrique D. Andjel, Nancy L. Chabot, E. Saada
- 2011

We prove a shape theorem for the set of infected individuals in a spatial epidemic model with 3 states (susceptible-infected-recovered) on Zd, d ≥ 3, when there is no extinction of the infection. For… (More)