Stochastic Operators and Semigroups and Their Applications in Physics and Biology

DOI10.1007/978-3-319-11322-7_6zbMath1339.47059OpenAlexW236575125MaRDI QIDQ2945459

Ryszard Rundnicki

Publication date: 11 September 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-11322-7_6

zbMATH Keywords

diffusionasymptotic stabilityrescalingsweepingiterated function systemtransport equationpopulation dynamicsergodic dynamical systemstochastic operatorbirth-death processtransfer operatorgene expressioncell cyclepiecewise deterministic Markov processcontinuous time Markov chainstochastic semigroupstochastic hybrid systemcomplete mixingFoguel alternativeintegral stochastic operatorflows with jumpsHasminskii functionlower function theoremparalog familiespartially integrable semigroupsectorial limit

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Population dynamics (general) (92D25) Markov semigroups and applications to diffusion processes (47D07) Special processes (60K99) Other physical applications of random processes (60K40) Diffusion processes (60J60) Ergodic theorems, spectral theory, Markov operators (37A30) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Transition functions, generators and resolvents (60J35) Limit theorems in probability theory (60F99)

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