| Issue |
ESAIM: PS
Volume 15, 2011
|
|
|---|---|---|
| Page(s) | 390 - 401 | |
| DOI | https://doi.org/10.1051/ps/2010008 | |
| Published online | 05 January 2012 | |
A note on spider walks
1
Instituto de Matemática e Estatística, Universidade de
São Paulo, rua do Matão 1010, CEP 05508–090, São Paulo, SP, Brazil. gallesco@ime.usp.br
2
Institut für Mathematische Strukturtheorie, Technische Universität Graz, Steyrergasse
30, 8010 Graz, Austria. dr.sebastian.mueller@gmail.com
3
Department of Statistics, Institute of Mathematics, Statistics and Scientific Computation, University of Campinas–UNICAMP, rua Sérgio Buarque de Holanda 651, CEP 13083–859, Campinas SP, Brazil. popov@ime.unicamp.br; http://www.ime.unicamp.br/~popov
Received:
2
November
2009
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.
Mathematics Subject Classification: 60J27 / 60K99
Key words: Spider walk / recurrence / transience / rate of escape
© EDP Sciences, SMAI, 2011
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