Discrete Time Voter Models: A Class of Stochastic Automata

R. W. R. Darling and Arunava Mukherjea
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R. W. R. Darling: University of South Florida
Arunava Mukherjea: University of South Florida

A chapter in Probability Measures on Groups X, 1991, pp 83-94 from Springer

Abstract: Abstract Let Γ denote the semigroup of all functions from a countable set V into itself. We give conditions for tightness of the sequence of convolution products of a probability measure on Γ, and for convergence of a distribution on (0, 1)V acted upon by independent random elements in Γ. The latter generalizes some results on the “voter model” in particle systems.

Keywords: Markov Chain; Probability Measure; Finite Subset; Voter Model; Convolution Product (search for similar items in EconPapers)
Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2364-6_6

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DOI: 10.1007/978-1-4899-2364-6_6

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