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Akademický článek

Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process

Autor: Dawid Czapla, Sander C. Hille, Katarzyna Horbacz, Hanna Wojewódka-Ściążko

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

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Akademický článek

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Approches algorithmiques pour la statistique : processus déterministes par morceaux et arbres aléatoires

Autor: Azaïs, Romain

Publikováno v: Mathématiques [math]. ENS de Lyon, 2022

Ce manuscrit donne une présentation synthétique et une mise en perspective de morceauxchoisis de mes travaux de recherche effectués depuis 2014 en vue de l’obtentionde l’habilitation à diriger des recherches en mathématiques appliquées. Ceu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______165::200db9ebc76f628355b135e8b14aae1e
https://hal.science/tel-03953630

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Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process

Autor: Sander C. Hille, Dawid Czapla, Hanna Wojewódka-Ściążko, Katarzyna Horbacz

Publikováno v: Mathematical Biosciences and Engineering, Vol 17, Iss 2, Pp 1059-1073 (2020)
Mathematical Biosciences and Engineering, 17(2), 1059-1073

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca28989b433a3b4f26b09608a3418277
https://www.aimspress.com/article/doi/10.3934/mbe.2020056?viewType=HTML

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Integrability of the Multi-Species TASEP with Species-Dependent Rates

Autor: Eunghyun Lee

Publikováno v: Symmetry, Vol 13, Iss 1578, p 1578 (2021)
Symmetry
Volume 13
Issue 9

Assume that each species $l$ has its own jump rate $b_l$ in the multi-species totally asymmetric simple exclusion process. We show that this model is \textit{integrable} in the sense that the Bethe Ansatz method is applicable to obtain the transition

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb17195a5ad1d741092c0a06e1db8323
https://www.mdpi.com/2073-8994/13/9/1578

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Hydrostatic limit for the symmetric exclusion process with long jumps: supper-diffusive case

Autor: Jeremías Ramírez Jiménez, Byron Jiménez Oviedo

Publikováno v: Revista de Matemática Teoría y Aplicaciones, Volume: 28, Issue: 1, Pages: 79-94, Published: JUL 2021
Revista de Matemática: Teoría y Aplicaciones vol. 28 no.1 79–94 2020
Repositorio UNA
Universidad Nacional de Costa Rica
instacron:UNA
Revista de Matemática: Teoría y Aplicaciones; Vol. 28 No. 1 (2021): Revista de Matemática: Teoría y Aplicaciones; 79-94
Revista de Matemática: Teoría y Aplicaciones; Vol. 28 Núm. 1 (2021): Revista de Matemática: Teoría y Aplicaciones; 79-94
Revista de Matemática; Vol. 28 N.º 1 (2021): Revista de Matemática: Teoría y Aplicaciones; 79-94
Portal de Revistas UCR
Universidad de Costa Rica
instacron:UCR

Hydrostatic behavior for the one dimensional exclusion process withlong jumps in contact with infinite reservoirs at different densities are de-rived. The jump rate is described by a transition probabilitypwhich isproportional to|· |−(γ+1)for1< �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69fbe7b58e61fa57fe39c72a399e1094
http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332021000100079&lng=en&tlng=en

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Hydrodynamics of Weakly Asymmetric Exclusion with Slow Boundary

Autor: Pedro Capitão, Patrícia Gonçalves

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783030697839

In this article we discuss the hydrodynamic limit of the weakly asymmetric simple exclusion process, whose asymmetry is regulated by a factor $N^\gamma $ with $\gamma \ge 1$, and in contact with stochastic reservoirs, which are regulated by two f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2631e5987ce0075d33f3e36c24c52e1b
https://doi.org/10.1007/978-3-030-69784-6_7

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Higher order eigenvalues for non-local Schrödinger operators

Autor: Feng-Yu Wang, Niels Jacob

Publikováno v: Communications on Pure & Applied Analysis. 17:191-208

Two-sided estimates for higher order eigenvalues are presented for a class of non-local Schrodinger operators by using the jump rate and the growth of the potential. For instance, let \begin{document} $L$ \end{document} be the generator of a Levy pro

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58e6b084e3d3739e101fee7b8c220866
https://doi.org/10.3934/cpaa.2018012

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Distinguishing Diffusive and Jumpy Behaviors in Real-World Time Series

Autor: M. Reza Rahimi Tabar

Publikováno v: Understanding Complex Systems ISBN: 9783030184711

Jumps are discontinuous variations in time series and with large amplitude can be considered as an extreme event. We expect the higher the jump activity to cause higher uncertainty in the stochastic behaviour of measured time series. Therefore, build

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dbb2cdb5a034c9a81c7e98881bdfaa1d
https://doi.org/10.1007/978-3-030-18472-8_19

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