Stationary distributions of systems with discreteness-induced transitions

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Standard

Stationary distributions of systems with discreteness-induced transitions. / Bibbona, Enrico; Kim, Jinsu; Wiuf, Carsten.

I: Journal of the Royal Society Interface, Bind 17, Nr. 168, 20200243, 2020.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bibbona, E, Kim, J & Wiuf, C 2020, 'Stationary distributions of systems with discreteness-induced transitions', Journal of the Royal Society Interface, bind 17, nr. 168, 20200243. https://doi.org/10.1098/rsif.2020.0243rsif20200243

APA

Bibbona, E., Kim, J., & Wiuf, C. (2020). Stationary distributions of systems with discreteness-induced transitions. Journal of the Royal Society Interface, 17(168), [20200243]. https://doi.org/10.1098/rsif.2020.0243rsif20200243

Vancouver

Bibbona E, Kim J, Wiuf C. Stationary distributions of systems with discreteness-induced transitions. Journal of the Royal Society Interface. 2020;17(168). 20200243. https://doi.org/10.1098/rsif.2020.0243rsif20200243

Author

Bibbona, Enrico ; Kim, Jinsu ; Wiuf, Carsten. / Stationary distributions of systems with discreteness-induced transitions. I: Journal of the Royal Society Interface. 2020 ; Bind 17, Nr. 168.

Bibtex

@article{4c9982a3676f42e1a6f1fe0afef42629,
title = "Stationary distributions of systems with discreteness-induced transitions",
abstract = "We provide a theoretical analysis of some autocatalytic reaction networks exhibiting the phenomenon of discreteness-induced transitions. The family of networks that we address includes the celebrated Togashi and Kaneko model. We prove positive recurrence, finiteness of all moments and geometric ergodicity of the models in the family. For some parameter values, we find the analytic expression for the stationary distribution and discuss the effect of volume scaling on the stationary behaviour of the chain. We find the exact critical value of the volume for which discreteness-induced transitions disappear.",
keywords = "discreteness-induced transitions, reaction networks, stationary distributions",
author = "Enrico Bibbona and Jinsu Kim and Carsten Wiuf",
year = "2020",
doi = "10.1098/rsif.2020.0243rsif20200243",
language = "English",
volume = "17",
journal = "Journal of the Royal Society. Interface",
issn = "1742-5689",
publisher = "The/Royal Society",
number = "168",

}

RIS

TY - JOUR

T1 - Stationary distributions of systems with discreteness-induced transitions

AU - Bibbona, Enrico

AU - Kim, Jinsu

AU - Wiuf, Carsten

PY - 2020

Y1 - 2020

N2 - We provide a theoretical analysis of some autocatalytic reaction networks exhibiting the phenomenon of discreteness-induced transitions. The family of networks that we address includes the celebrated Togashi and Kaneko model. We prove positive recurrence, finiteness of all moments and geometric ergodicity of the models in the family. For some parameter values, we find the analytic expression for the stationary distribution and discuss the effect of volume scaling on the stationary behaviour of the chain. We find the exact critical value of the volume for which discreteness-induced transitions disappear.

AB - We provide a theoretical analysis of some autocatalytic reaction networks exhibiting the phenomenon of discreteness-induced transitions. The family of networks that we address includes the celebrated Togashi and Kaneko model. We prove positive recurrence, finiteness of all moments and geometric ergodicity of the models in the family. For some parameter values, we find the analytic expression for the stationary distribution and discuss the effect of volume scaling on the stationary behaviour of the chain. We find the exact critical value of the volume for which discreteness-induced transitions disappear.

KW - discreteness-induced transitions

KW - reaction networks

KW - stationary distributions

UR - http://www.scopus.com/inward/record.url?scp=85090117488&partnerID=8YFLogxK

U2 - 10.1098/rsif.2020.0243rsif20200243

DO - 10.1098/rsif.2020.0243rsif20200243

M3 - Journal article

AN - SCOPUS:85090117488

VL - 17

JO - Journal of the Royal Society. Interface

JF - Journal of the Royal Society. Interface

SN - 1742-5689

IS - 168

M1 - 20200243

ER -

ID: 248329340