Asymptotic distributions for the Ehrenfest urn and related random walks

DOI10.2307/3215058zbMath0855.60063OpenAlexW4256548553MaRDI QIDQ4891666

Michael Voit

Publication date: 14 January 1997

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215058

zbMATH Keywords

uniform distributionKrawtchouk polynomialstotal variation distancefinite hypergroupsbirth-and-death random walksrandom walks on hypercubes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Harmonic analysis on hypergroups (43A62) Classical equilibrium statistical mechanics (general) (82B05) Convergence of probability measures (60B10) Appell, Horn and Lauricella functions (33C65)

Related Items (8)

Random walks on binary strings applied to the somatic hypermutation of B-cells ⋮ Rates of convergence to Gaussian measures on \(n\)-spheres and Jacobi hypergroups ⋮ Cutoff profiles for quantum Lévy processes and quantum random transpositions ⋮ The cut-off phenomenon for random walks on Hamming graphs with variable growth conditions ⋮ Finite Gel'fand pairs and their applications to probability and statistics ⋮ Limit theorems for compact two-point homogeneous spaces of large dimensions ⋮ The Continuous-Time Ehrenfest Process in Term Structure Modelling ⋮ Asymptotics of Heat Kernels on Projective Spaces of Large Dimensions and on Disk Hypergroups

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