Interpolating between random walk and rotor walk

DOI10.1002/rsa.20747zbMath1394.60043arXiv1603.04107OpenAlexW2962799388MaRDI QIDQ4564858

Lionel Levine, Wilfried Huss, Ecaterina Sava-Huss

Publication date: 7 June 2018

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04107

zbMATH Keywords

scaling limitrecurrencemartingalerotor-router modelperturbed Brownian motioncorrelated random walkabelian networklocally Markov walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Functional limit theorems; invariance principles (60F17)

Related Items (5)

Recurrence of horizontal-vertical walks ⋮ Convergence and nonconvergence of scaled self-interacting random walks to Brownian motion perturbed at extrema ⋮ Limit theorems for discrete multitype branching processes counted with a characteristic ⋮ Random walks with local memory ⋮ Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

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