Markov Stochastic Operators of Heredity
Nasir Ganikhodjaev

TL;DR
This paper introduces a class of non-ergodic quadratic stochastic operators to construct a family of weak ergodic non-homogeneous Markov chains, expanding the understanding of stochastic processes with heredity.
Contribution
It presents a novel application of non-ergodic quadratic stochastic operators to generate weak ergodic non-homogeneous Markov chains.
Findings
Constructed a family of weak ergodic non-homogeneous Markov chains
Extended the theory of stochastic operators in heredity models
Provided new insights into non-ergodic stochastic processes
Abstract
Applying non-ergodic quadratic stochastic operator the continual family of weak ergodic non-homogeneous Markov chains is constructed.
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Taxonomy
TopicsStochastic processes and financial applications · advanced mathematical theories
