Patterns in Sinai's walk

DOI10.1214/11-AOP724zbMath1300.60116arXiv1102.1716MaRDI QIDQ373552

Dimitris Cheliotis, Bálint Virág

Publication date: 17 October 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1716

zbMATH Keywords

Brownian motionlarge deviationsfunctional law of the iterated logarithmdiffusion in random environmentSinai's walk

Mathematics Subject Classification ID

Large deviations (60F10) Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Metastable states in Brownian energy landscape

Cites Work

• A connection between Strassen's and Donsker-Varadhan's laws of the iterated logarithm
• Localization of favorite points for diffusion in a random environment
• The other law of the iterated logarithm
• Transformations in functional iterated logarithm laws and regular variation
• The limits of Sinai's simple random walk in random environment
• Tightness of localization and return time in random environment
• Discrete schemes for processes in random media
• An approximation of partial sums of independent RV's, and the sample DF. II
• An invariance principle for the law of the iterated logarithm
• Probability
• Random walks in a random environment
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