http://hdl.handle.net/20.500.12128/11804
Title: | Ergodyczne własności losowych układów dynamicznych ze skokami o intensywności zależnej od stanu |
Authors: | Kubieniec, Joanna |
Advisor: | Horbacz, Katarzyna Czapla, Dawid |
Keywords: | układy dynamiczne; równanie Poissona; asymptotyczna stabilność; geometryczna ergodyczność; operatory Markowa |
Issue Date: | 2019 |
Publisher: | Katowice : Uniwersytet Śląski |
Abstract: | In this PhD thesis, we analyze the asymptotics of the Markov operator, acting on Borel measures of a Polish space, determining the evolution of a distributions of time- homogeneous Markov chain, which describes the states immediately following the jumps of a certain piecewise-deterministic Markov process. Between any two consecutive jumps, this process evolves deterministically according to one of the semiflows, randomly selected among a finite number of available ones at the moment of jump. The jumps occur in a Poisson-like fashion with state-depentent rate, and each of them is attained by a continuous transformation of the pre-jump state, randomly drawn (with a place-dependent probability) from an arbitrarily given family of all possible ones. |
URI: | http://hdl.handle.net/20.500.12128/11804 |
Appears in Collections: | Rozprawy doktorskie (WNŚiT) |
File | Description | Size | Format | |
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Kubieniec_Ergodyczne_wlasnosci_losowych_ukladow_dynamicznych.pdf | 597,96 kB | Adobe PDF | View/Open |
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