Zero-one law for directional transience of one dimensional excited random walks

DOI10.1214/14-AIHP615zbMath1333.60064arXiv1304.7287MaRDI QIDQ5963208

Noam Berger, Tal Orenshtein, Gideon Amir

Publication date: 4 March 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/1304.7287

zbMATH Keywords

law of large numbersrecurrencerandom environmentdirectional transienceexcited random walkzero-one law

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Zero-one laws (60F20)

Related Items (5)

Excited random walks with non-nearest neighbor steps ⋮ Long range one-cookie random walk with positive speed ⋮ Excited random walk in a Markovian environment ⋮ Transience, recurrence and the speed of a random walk in a site-based feedback environment ⋮ Infinite excursions of router walks on regular trees

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