Scaling limits of recurrent excited random walks on integers

DOI10.1214/ECP.v17-2213zbMath1252.60098arXiv1201.0379MaRDI QIDQ456262

Elena Kosygina, Dmitry Dolgopyat

Publication date: 23 October 2012

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0379

zbMATH Keywords

branching processrandom environmentexcited random walkcookie walkperturbed Brownian motion

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Speed of excited random walks with long backward steps ⋮ Excited random walks with non-nearest neighbor steps ⋮ Convergence and nonconvergence of scaled self-interacting random walks to Brownian motion perturbed at extrema ⋮ Long range one-cookie random walk with positive speed ⋮ Extreme slowdowns for one-dimensional excited random walks ⋮ Random walks with local memory ⋮ Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

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