| author: | Serguei Yu. Popov |
|---|---|
| title: | Frogs and some other interacting random walks models |
| keywords: | simple random walk, critical probability, shape theorem, recurrence |
| abstract: |
We review some recent results for a system of simple random
walks on graphs, known as frog model. Also, we
discuss several modifications of this model, and present a
few open problems. A simple version of the frog model can
be described as follows: There are active and sleeping
particles living on some graph. Each active particle
performs a simple random walk with discrete time and at
each moment it may disappear with probability
1-p
. When an active particle hits a sleeping particle,
the latter becomes active.
|
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| reference: | Serguei Yu. Popov (2003), Frogs and some other interacting random walks models, in Discrete Random Walks, DRW'03, Cyril Banderier and Christian Krattenthaler (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AC, pp. 277-288 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dmAC0126.ps.gz (88 K) |
| ps-source: | dmAC0126.ps (1676 K) |
| pdf-source: | dmAC0126.pdf (176 K) |
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