A 2-dimensional complex is a union of a finite number of quarter planes Z2+ having some boundaries in common. The most interesting example is the union of all 2-dimensional faces of Z+ u. We considerâ€¦ (More)

We consider a one-dimensional nearest-neighbor interacting particle system, which is a mixture of the simple exclusion process and the voter model. The state space is taken to be the countable set ofâ€¦ (More)

We study stochastic billiards in infinite planar domains with curvilinear boundaries: that is, piecewise deterministic motion with randomness introduced via random reflections at the domain boundary.â€¦ (More)

We study the first exit time Ï„ from an arbitrary cone with apex at the origin by a non-homogeneous random walk on Z2 with mean drift that is asymptotically zero. Assuming bounded jumps and a form ofâ€¦ (More)

We consider an exhaustive polling system with three nodes in its transient regime under a switching rule of generalized greedy type. We show that, for the system with Poisson arrivals and serviceâ€¦ (More)

The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro tâ€¦ (More)

We study the random walk in random environment on Z+ = {0, 1, 2, . . .}, where the environment is subject to a vanishing (random) perturbation. The two particular cases that we consider are: (i)â€¦ (More)

The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro tâ€¦ (More)

This paper is about simple random walks on Z d , d 3, in a random eld of traps, the density of which tends to zero at innnity. We distinguish between the quenched problem (when the traps are xed) andâ€¦ (More)