Excited random walk with periodic cookies

DOI10.1214/15-AIHP669zbMath1350.60041arXiv1311.7439MaRDI QIDQ330682

Igor Shinkar, Gady Kozma, Tal Orenshtein

Publication date: 26 October 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7439

zbMATH Keywords

Lyapunov functionBessel processmigrationrecurrencebranching processtransienceexcited random walkcookie walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Recurrence of horizontal-vertical walks ⋮ Excited mob ⋮ Excited random walk in a Markovian environment ⋮ Transience, recurrence and the speed of a random walk in a site-based feedback environment ⋮ Random walks with local memory ⋮ Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

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