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spider walk

ESAIM: Probability and Statistics (1)

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A note on spider walks
Christophe Gallesco, Sebastian Müller, Serguei Popov
Journal:

ESAIM: Probability and Statistics / Volume 15 / 2011

Published online by Cambridge University Press:

05 January 2012, pp. 390-401

Print publication:

2011
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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 ofthe 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.