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Deterministic walks in random environments

✍ Scribed by Leonid A Bunimovich

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
95 KB
Volume
187
Category
Article
ISSN
0167-2789

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✦ Synopsis

Deterministic walks in random environments (DWRE) occupy an intermediate position between purely random (generated by random trials) and purely deterministic (generated by deterministic dynamical systems, e.g., by maps) models of diffusion. These models combine deterministic and probabilistic features. We review general properties of DWRE and demonstrate that, to a large extent, their dynamics and their statistics can be analyzed consecutively and separately. We also show that orbits of one-dimensional walks in rigid environments with non-constant rigidity almost surely visit each site infinitely many times.

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