Impatient Random Walk

Research output: Contribution to journalArticle

Abstract

We introduce a new type of random walk where the definition of edge repellence/reinforcement is very different from the one in the “traditional” reinforced random walk models and investigate its basic properties, such as null versus positive recurrence, transience, as well as the speed. The two basic cases will be dubbed “impatient” and “ageing” random walks.

Details

Authors
Organisations
External organisations
  • University of Colorado
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Probability Theory and Statistics

Keywords

  • Ageing random walk, Impatient random walk, Passage generating function, Random walk, Recurrence, Transience
Original languageEnglish
JournalJournal of Theoretical Probability
Publication statusE-pub ahead of print - 2019 Apr 16
Publication categoryResearch
Peer-reviewedYes