A note on spider walks
ESAIM: Probability and Statistics, Tome 15 (2011), pp. 390-401.

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.

DOI : 10.1051/ps/2010008
Classification : 60J27, 60K99
Mots-clés : spider walk, recurrence, transience, rate of escape 
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Gallesco, Christophe; Müller, Sebastian; Popov, Serguei. A note on spider walks. ESAIM: Probability and Statistics, Tome 15 (2011), pp. 390-401. doi : 10.1051/ps/2010008. http://www.numdam.org/articles/10.1051/ps/2010008/

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