Asymptotic expansion of semi-Markov random evolutions
S. Albeverio, V.S. Koroliuk, I.V.Samoilenko
TL;DR
This paper develops asymptotic expansions for semi-Markov random evolutions, analyzing their regular and singular parts, establishing boundary condition regularity, and proposing an algorithm for initial condition calculation.
Contribution
It introduces a comprehensive asymptotic expansion framework for semi-Markov evolutions, including boundary condition analysis and an initial condition algorithm.
Findings
Regular and singular parts of asymptotic expansions are characterized.
Boundary conditions are shown to be regular.
An algorithm for calculating initial conditions is proposed.
Abstract
Regular and singular parts of asymptotic expansions of semi-Markov random evolutions are given. Regularity of boundary conditions is shown. An algorithm for calculation of initial conditions is proposed.
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Taxonomy
TopicsStochastic processes and statistical mechanics