Directionally reinforced random walks

DOI10.1006/aima.1996.0011zbMath0845.60070OpenAlexW2060817061MaRDI QIDQ1909934

Michael Monticino, R. Daniel Mauldin, Heinrich von Weizsäcker

Publication date: 27 March 1996

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/642e0c994c233b3d51904d987ad43aa92f5ebb9d

zbMATH Keywords

reinforced random walksrecurrenceGaussian diffusion process

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Diffusion processes (60J60)

Related Items (15)

Senile reinforced random walks ⋮ On a directionally reinforced random walk ⋮ Optimal stopping rules for correlated random walks with a discount ⋮ Level crossing probabilities. I: One-dimensional random walks and symmetrization ⋮ Level crossing probabilities. II: Polygonal recurrence of multidimensional random walks ⋮ Persistent random walks. II. Functional scaling limits ⋮ Persistent random walks. I. Recurrence versus transience ⋮ Stopping the maximum of a correlated random walk, with cost for observation ⋮ Favorite sites of a persistent random walk ⋮ Run-and-tumble motion: the role of reversibility ⋮ Optimal Buy/Sell Rules for Correlated Random Walks ⋮ Recurrence of multidimensional persistent random walks. Fourier and series criteria ⋮ Limit distributions of directionally reinforced random walks ⋮ A Diffusion Limit for Generalized Correlated Random Walks ⋮ The directed edge reinforced random walk: the Ant Mill phenomenon

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