Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Katarzyna Horbacz"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 2, Pp 1059-1073 (2020)
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 contin
Externí odkaz:
https://doaj.org/article/7a5cf196e4a94821b7003fe9783007e3
Publikováno v:
Stochastic Analysis and Applications, 39(2), 357-379
In the paper we consider some piecewise deterministic Markov process whose continuous component evolves according to semiflows, which are switched at the jump times of a Poisson process. The associated Markov chain describes the states of this proces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c01def7065c22b1f8176efbf43a6693
https://doi.org/10.1080/07362994.2020.1798252
https://doi.org/10.1080/07362994.2020.1798252
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 2, Pp 1059-1073 (2020)
Mathematical Biosciences and Engineering, 17(2), 1059-1073
Mathematical Biosciences and Engineering, 17(2), 1059-1073
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 contin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca28989b433a3b4f26b09608a3418277
https://www.aimspress.com/article/doi/10.3934/mbe.2020056?viewType=HTML
https://www.aimspress.com/article/doi/10.3934/mbe.2020056?viewType=HTML
Publikováno v:
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5da2d73d457a4a93ae80bfb8bdc4ae46
https://doi.org/10.1063/5.0081329
https://doi.org/10.1063/5.0081329
We examine a piecewise deterministic Markov process, whose whole randomness stems from the jumps, which occur at the random time points according to a Poisson process, and whose post-jump locations are attained by randomly selected transformations of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87c14f1645a55ed1e498fb52ce0a2b31
http://hdl.handle.net/20.500.12128/19265
http://hdl.handle.net/20.500.12128/19265
Publikováno v:
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019.
The aim of this paper is to derive the exponential ergodicity in the Wasserstein distance for a piecewise-deterministic Markov process (PDMP), being typically encountered in biological models, defined via interpolation of some discrete-time Markov ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08e471a8a3c1fa9ac098a7a38fd5a8f9
https://doi.org/10.1063/5.0026519
https://doi.org/10.1063/5.0026519
Publikováno v:
Nonlinear Analysis. 215:112678
In this paper, we study a subclass of piecewise-deterministic Markov processes with a Polish state space, involving deterministic motion punctuated by random jumps that occur at exponentially distributed time intervals. Over each of these intervals,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c0e48994551d82d1673f9500bce5168
https://doi.org/10.1016/j.na.2021.112678
https://doi.org/10.1016/j.na.2021.112678
Publikováno v:
AIP Conference Proceedings.
The main goal of this paper is to establish a criterion on the exponential ergodicity in the bounded Lipschitz distance, the strong law of large numbers (SLLN) and the central limit theorem (CLT) for a certain class of Markov chains, taking values in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fc65c90b6c342275d62324c5bebb58a
https://doi.org/10.1063/1.5114522
https://doi.org/10.1063/1.5114522
Publikováno v:
Journal of Mathematical Analysis and Applications. 443:385-408
The exponential rate of convergence and the Central Limit Theorem for some Markov operators are established. These operators were efficiently used in some biological models (see Hille, Horbacz & Szarek (2015) [8] ), which generalize the cell cycle mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::999bdfa8de9f184020d46d624c851ca5
https://doi.org/10.1016/j.jmaa.2016.05.022
https://doi.org/10.1016/j.jmaa.2016.05.022
Autor:
Katarzyna Horbacz
Publikováno v:
Statistics & Probability Letters. 118:70-79
We study a dynamical system generalizing continuous iterated function systems and stochastic differential equations disturbed by Poisson noise. The aim of this paper is to study stochastic processes whose paths follow deterministic dynamics between r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6db0fcd90969bc7f625b53b8476aff57
https://doi.org/10.1016/j.spl.2016.06.013
https://doi.org/10.1016/j.spl.2016.06.013