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A note on spider walks

Christophe GallescoSebastian MüllerSerguei Popov — 2011

ESAIM: Probability and Statistics

Spider walks are systems of interacting particles. The particles move independently as long as their movements do not violate some given rules describing the relative position of the particles; moves that violate the rules are not realized. The goal of this paper is to study qualitative properties, as recurrence, transience, ergodicity, and positive rate of escape of these Markov processes.

A note on spider walks

Christophe GallescoSebastian MüllerSerguei Popov — 2012

ESAIM: Probability and Statistics

Spider walks are systems of interacting particles. The particles move independently as long as their movements do not violate some given rules describing the relative position of the particles; moves that violate the rules are not realized. The goal of this paper is to study qualitative properties, as recurrence, transience, ergodicity, and positive rate of escape of these Markov processes.

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