Transience, recurrence and the speed of a random walk in a site-based feedback environment

DOI10.1007/s00440-016-0695-3zbMath1367.60050arXiv1410.8508OpenAlexW2242635269MaRDI QIDQ525102

Nicholas F. Travers, Ross G. Pinsky

Publication date: 28 April 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8508

zbMATH Keywords

recurrencetransiencefeedback environmentself-interacting random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37)

Related Items (3)

Recurrence of horizontal-vertical walks ⋮ Random walks with local memory ⋮ Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Excited random walk with periodic cookies
• Transience/recurrence and the speed of a one-dimensional random walk in a ``have your cookie and eat it environment
• Stability of sums of weighted nonnegative random variables
• Excited random walk
• Excited random walks with Markovian cookie stacks
• Excited random walks: results, methods, open problems
• Zero-one law for directional transience of one dimensional excited random walks

This page was built for publication: Transience, recurrence and the speed of a random walk in a site-based feedback environment