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O. Zeitouni (2009)
Random Walks in Random Environment
- Publisher
- Birkhäuser Basel
- Copyright
- © Birkhäuser Basel 2008
- ISBN
- 978-3-7643-8785-3
- Pages
- 137 –160
- DOI
- 10.1007/978-3-7643-8786-0_7
- Publisher site
- See Chapter on Publisher Site
Abstract
[We prove that every random walk in i.i.d. environment in dimension greater than or equal to 2 that has an almost sure positive speed in a certain direction, an annealed invariance principle and some mild integrability condition for regeneration times also satisfies a quenched invariance principle. The argument is based on intersection estimates and a theorem of Bolthausen and Sznitman.]
Published: Jan 1, 2008
Keywords: Random walk in random environment; quenched invariance principle; Primary 60K37; secondary 60F05