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Abstract
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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.
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Keywords
ergodicity coefficients, Markov chains, random matrices,
random polygons, stochastic convergence.
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Mathematical Subject Classification 2010
Primary: 15B52, 60G20
Secondary: 15A12, 15A30
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Milestones
Received: 15 January 2019
Revised: 4 January 2022
Accepted: 12 January 2022
Published: 7 January 2023
Communicated by Zuhair Nashed
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