4.0 Article

A NOTE ON SPIDER WALKS

Journal

ESAIM-PROBABILITY AND STATISTICS
Volume 15, Issue -, Pages 390-401

Publisher

EDP SCIENCES S A
DOI: 10.1051/ps/2010008

Keywords

Spider walk; recurrence; transience; rate of escape

Funding

  1. Fapesp [2009/51139-3, 2009/08665-6, 2009/52379-8]
  2. DFG [MU 2868/1-1]
  3. CNPq [300886/2008-0, 472431/2009-9]
  4. CAPES/DAAD (Probral)

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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 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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