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Convergence of
random polygon sequences
Incheoul Chung, Xingping Sun and Songfeng Zheng
Vol. 15 (2022), No. 4, 547–558
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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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Authors |
| Incheoul Chung | |
| Department of Mathematics Cornell University Ithaca, NY United States |
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| Xingping Sun | |
| Department of Mathematics Missouri State University Springfield, MO United States |
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| Songfeng Zheng | |
| Department of Mathematics Missouri State University Springfield, MO United States |
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