Excited random walks: results, methods, open problems
| Autor: | Elena Kosygina, Martin P.W. Zerner |
|---|---|
| Rok vydání: | 2012 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1204.1895 |
| Popis: | 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. Comment: 37 pages, 4 figures; minor revision |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|