Patterns in Sinai’s walk

• Dimitris Cheliotis ^[2] ; Bálint Virág ^[1]
  1. [1] University of Toronto

     University of Toronto

     Canadá

     
  2. [2] University of Athens
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 41, Nº. 3, 2, 2013, págs. 1900-1937
• Idioma: inglés
• DOI: 10.1214/11-AOP724
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• Resumen

  • Sinai’s random walk in random environment shows interesting patterns on the exponential time scale. We characterize the patterns that appear on infinitely many time scales after appropriate rescaling (a functional law of iterated logarithm). The curious rate function captures the difference between one-sided and two-sided behavior.