Convergence of random polygon sequences

Abstract

We study stochastic convergence of random polygon sequences and establish several criteria for a sequence of random polygons to converge almost surely to a random limit point. We also explore a special case in which the limit point is prescribed. Existing literature on convergence of polygon sequences can be considered as a case study herein when all the participating random variables obey Dirac delta distributions.

Department(s)

Mathematics

Document Type

Article

DOI

10.2140/involve.2022.15.547

Keywords

ergodicity coefficients, Markov chains, random matrices, random polygons, stochastic convergence

Publication Date

1-1-2022

Journal Title

Involve

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