2013 / March Volume 8 No.1
Excited Random Walks: Results, Methods, Open Problems
| Published Date |
2013 / March
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|---|---|
| Title | Excited Random Walks: Results, Methods, Open Problems |
| Author | |
| Keyword | |
| Download | |
| Pagination | 105-157 |
| Abstract | We consider a class of self-interacting random walks in deterministic or random environments, known as excited random walks or cookie walks, on the $d$-dimensional integer lattice. The main purpose of this paper is two-fold: to give a survey of known results and some of the methods and to present several new results. The latter include functional limit theorems for transient one-dimensional excited random walks in bounded i.i.d. cookie environments as well as some zero-one laws. Several open problems are stated.
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| AMS Subject Classification |
60K35, 60K37, 60J80
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| Received |
2012-03-30
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| Accepted |
2012-09-21
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