Limit Theorems and Absorption Problems for One-Dimensional Correlated Random Walks

DOI10.1080/15326340802640941zbMath1161.60309arXivquant-ph/0310191OpenAlexW2058066206WikidataQ62039411 ScholiaQ62039411MaRDI QIDQ3619668

Norio Konno

Publication date: 8 April 2009

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0310191

zbMATH Keywords

correlated random walkslimit theoremsabsorption problems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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Limiting behaviors of generalized elephant random walks ⋮ Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk ⋮ A characteristic polynomial for the transition probability matrix of correlated random walks on a graph ⋮ A crossover between open quantum random walks to quantum walks ⋮ Limit theorems for open quantum random walks ⋮ Spectral mapping theorem of an abstract non-unitary quantum walk ⋮ Discrete-time quantum walk on the Cayley graph of the dihedral group ⋮ Quantum walks: a comprehensive review ⋮ Favorite sites of a persistent random walk ⋮ One-dimensional discrete-time quantum walks on random environments ⋮ Comfortable place for quantum Walker on finite path ⋮ Mahler/zeta correspondence ⋮ Walk/zeta correspondence

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