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Vertex-reinforced random walk

✍ Scribed by Robin Pemantle


Publisher
Springer
Year
1992
Tongue
English
Weight
939 KB
Volume
92
Category
Article
ISSN
1432-2064

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πŸ“œ SIMILAR VOLUMES


A note on vertex-reinforced random walks
✍ Jack Jie Dai πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 195 KB

A vertex-reinforced random walk on Z with exactly ΓΏve points in its essential range exhibits the behavior described by Theorem 1.3 of Pemantle and Volkov (Ann. Probab. 27 (1999) 1368) almost surely.

Directionally Reinforced Random Walks
✍ R.Daniel Mauldin; Michael Monticino; Heinrich von WeizsΓ€cker πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 436 KB

This paper introduces and analyzes a class of directionally reinforced random walks. The work is motivated by an elementary model for time and space correlations in ocean surface wave fields. We develop some basic properties of these walks. For instance, we investigate recurrence properties and give