Random walks with internal degrees of freedom

DOI10.1007/BF00534179zbMath0494.60067OpenAlexW3160199043MaRDI QIDQ5905219

András Krámli, Domokos Szász

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534179

zbMATH Keywords

local limit theoremsinternal degrees of freedommatrix valued Fourier transforms

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)

Related Items (21)

Ergodicity of random walks in the half-strip ⋮ Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain ⋮ Stochastic billiards with Markovian reflections in generalized parabolic domains ⋮ Energy transfer and joint diffusion ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I ⋮ Long time behavior of the transition probability of a random walk with drift on an Abelian covering graph. ⋮ Random walks on periodic graphs ⋮ Metastable behavior in Markov processes with internal states ⋮ Long time asymptotics of non-symmetric random walks on crystal lattices ⋮ Multidimensional random walk with reflections ⋮ Number of distinct sites visited by a random walk with internal states ⋮ Long time behavior of random walks on the integer lattice ⋮ Non-homogeneous random walks on a semi-infinite strip ⋮ "MÜNCHHAUSEN TRICK" AND AMENABILITY OF SELF-SIMILAR GROUPS ⋮ BEC OF FREE BOSONS ON NETWORKS ⋮ Random walks with internal degrees of freedom ⋮ Central limit theorem for the Lorentz process via perturbation theory ⋮ The problem of recurrence for Lorentz processes ⋮ Random walks with internal degrees of freedom. III: Stationary probabilities ⋮ Amenability and the Liouville property ⋮ Spanning tree generating functions for infinite periodic graphs L and connections with simple closed random walks on L

Cites Work

• Markov partitions for dispersed billiards
• Statistical properties of Lorentz gas with periodic configuration of scatterers
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