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Singularities of the Green function of a random walk on a discrete group

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Publication:1207686
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DOI10.1007/BF01641766zbMath0764.60065OpenAlexW2017668730MaRDI QIDQ1207686

Donald I. Cartwright

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178559


zbMATH Keywords

Green functionradius of convergencerandom walk on a discrete group


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)


Related Items (4)

The dual Cheeger constant and spectra of infinite graphs ⋮ Can one hear the shape of a group? ⋮ Context-free pairs of groups. II: Cuts, tree sets, and random walks ⋮ On the spectrum of the sum of generators for a finitely generated group



Cites Work

  • Amenability, unimodularity, and the spectral radius of random walks on infinite graphs
  • Finite range random walk on free groups and homogeneous trees
  • Symmetric Random Walks on Groups
  • GEOMETRIC ERGODICITY IN DENUMERABLE MARKOV CHAINS
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