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Reinforced Random Walks and Adic Transformations

✍ Scribed by Sarah Bailey Frick; Karl Petersen


Publisher
Springer US
Year
2010
Tongue
English
Weight
630 KB
Volume
23
Category
Article
ISSN
0894-9840

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πŸ“œ SIMILAR VOLUMES


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

Vertex-reinforced random walk
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Limit Distributions of Directionally Rei
✍ Lajos HorvΓ‘th; Qi-Man Shao πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 263 KB

As a mathematical model for time and space correlations in ocean surface wave fields, Mauldin, Monticino, and von Weizsa cker (1996, Adv. in Math. 117, 239 252), introduced directionally reinforced random walks and analyzed their recurrence properties. This paper develops limiting properties for the

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.