DC pole | Wartość | Język |
dc.contributor.author | Czapla, Dawid | - |
dc.contributor.author | Hille, Sander C. | - |
dc.contributor.author | Horbacz, Katarzyna | - |
dc.contributor.author | Wojewódka-Ściążko, Hanna | - |
dc.date.accessioned | 2019-11-14T17:54:58Z | - |
dc.date.available | 2019-11-14T17:54:58Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Mathematical Biosciences and Engineering, Vol. 17, Iss. 2 (2020), s. 1059–1073 | pl_PL |
dc.identifier.issn | 1551-0018 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/11614 | - |
dc.description.abstract | We investigate a piecewise-deterministic Markov process, evolving on a Polish metric
space, whose deterministic behaviour between random jumps is governed by some semi-flow, and any
state right after the jump is attained by a randomly selected continuous transformation. It is assumed
that the jumps appear at random moments, which coincide with the jump times of a Poisson process
with intensity . The model of this type, although in a more general version, was examined in our
previous papers, where we have shown, among others, that the Markov process under consideration
possesses a unique invariant probability measure, say
. The aim of this paper is to prove that the
map 7!
is continuous (in the topology of weak convergence of probability measures). The studied
dynamical system is inspired by certain stochastic models for cell division and gene expression. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
dc.subject | invariant measure | pl_PL |
dc.subject | piecewise-deterministic Markov process | pl_PL |
dc.subject | random dynamical system | pl_PL |
dc.subject | jump rte | pl_PL |
dc.subject | continuous dependence | pl_PL |
dc.title | Continuous dependence of an invariant measure on the jump rate of a piecewisedeterministic Markov process | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.identifier.doi | 10.3934/mbe.2020056 | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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