Semigroups, Attractors, and Products of Random Matrices

Arunava Mukherjea
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Arunava Mukherjea: University of South Florida

A chapter in Probability Measures on Groups X, 1991, pp 303-313 from Springer

Abstract: Abstract In this paper we define attractors in a natural manner and then use semigroup ideas to find a convenient formula for their determination. Recurrent random walks in matrices will appear in our discussions and be part of the total picture. We will use our formula to determine completely two interesting attractors. one a well-known Sierpinsky gasket and the other an unbounded version of the gasket.

Keywords: Random Walk; Ergodic Theorem; Iterate Function System; Topological Semigroup; Nonnegative Matrice (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_23

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DOI: 10.1007/978-1-4899-2364-6_23

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