Random Walks on Comb-Type Subsets of Z2

Endre Csáki, Antónia Földes

Research output: Contribution to journalArticle

Abstract

We study the path behavior of the simple symmetric walk on some comb-type subsets of Z2 which are obtained from Z2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.

Original languageEnglish
JournalJournal of Theoretical Probability
DOIs
Publication statusAccepted/In press - Jan 1 2019

Keywords

  • 2-dimensional Wiener process
  • 2-dimensional comb
  • Iterated Brownian motion
  • Laws of the iterated logarithm
  • Oscillating Brownian motion
  • Random walk
  • Strong approximation

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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