Asymptotic decomposition of substochastic semigroups and applications

DOI10.1142/S0219493718500016OpenAlexW2574989440MaRDI QIDQ4595009

Katarzyna Pichór, Ryszard Rundnicki

Publication date: 27 November 2017

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493718500016

zbMATH Keywords

asymptotic stabilityasymptotic decompositionsubstochastic semigroupdynamical systems with random switching

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Systems biology, networks (92C42) Jump processes on general state spaces (60J76)

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Stability of stochastic semigroups and applications to Stein's neuronal model ⋮ Asymptotic Properties of a General Model of Immune Status ⋮ Asymptotic Properties of Stochastic Semigroups with Applications to Piecewise Deterministic Markov Processes ⋮ Application of the Goodwin model to autoregulatory feedback for stochastic gene expression ⋮ Spectral gaps for hyperbounded operators ⋮ Convergence of positive operator semigroups

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