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Markov chains and applications
Published 2022-07-01Subjects: “…markov chains…”
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Decisive Markov Chains
Published 2007-11-01“…We consider qualitative and quantitative verification problems for infinite-state Markov chains. We call a Markov chain decisive w.r.t. a given set of target states F if it almost certainly eventually reaches either F or a state from which F can no longer be reached. …”
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Double coset Markov chains
Published 2023-01-01“…Examples include coagulation-fragmentation processes and natural Markov chains on contingency tables. Our main example projects the random transvections walk on $GL_n(q)$ onto a Markov chain on $S_n$ via the Bruhat decomposition. …”
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A Simple Markov Chain
Published 2023-01-01“…In this paper, Markov chain is used to model the reproduction of the fixed finite population, and use binomial distribution to discuss the probability of gen inheritance between generations population genes and establish transfer matrix ,using conditional mathematics expect to obtain the probability of absorption at 0 and at 2N only depends on the initial fraction of A gene, and this also must be a fixation probability of gene A , and this conclusion is the same as the results of MATLAB simulation.…”
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The Markov Chain Tree Theorem
Published 2023“…Let M be a finite first-order stationary Markov chain. We define an arborescence to be a set of edges in the directed graph for M having at most one edge out of every vertex, no cyles, and maximum cardinality. …”
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