Počet záznamů: 1
Applying monoid duality to a double contact process
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SYSNO ASEP 0572568 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Applying monoid duality to a double contact process Tvůrce(i) Latz, Jan Niklas (UTIA-B)
Swart, Jan M. (UTIA-B) RID, ORCIDCelkový počet autorů 2 Číslo článku 70 Zdroj.dok. Electronic Journal of Probability. - : Institute of Mathematical Statistics - ISSN 1083-6489
Roč. 28, č. 1 (2023)Poč.str. 26 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova interacting particle system ; duality ; contact process ; annihilating branching process ; cancellative contact process ; monoid Vědní obor RIV BA - Obecná matematika Obor OECD Statistics and probability CEP GA20-08468S GA ČR - Grantová agentura ČR Způsob publikování Open access Institucionální podpora UTIA-B - RVO:67985556 UT WOS 001002487000001 EID SCOPUS 85162844943 DOI 10.1214/23-EJP961 Anotace In this paper we use duality techniques to study a coupling of the well-known contact process (CP) and the annihilating branching process. As the latter can be seen as a cancellative version of the contact process, we rebrand it as the cancellative contact process (cCP). Our process of interest will consist of two components, the first being a CP and the second being a cCP. We call this process the double contact process (2CP) and prove that it has (depending on the model parameters) at most one invariant law under which ones are present in both processes. In particular, we can choose the model parameters in such a way that CP and cCP are monotonely coupled. In this case also the above mentioned invariant law will have the property that, under it, ones (modeling “infected individuals”) can only be present in the cCP at sites where there are also ones in the CP. Along the way we extend the dualities for Markov processes discovered in our paper “Commutative monoid duality” to processes on infinite state spaces so that they, in particular, can be used for interacting particle systems. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2024 Elektronická adresa https://projecteuclid.org/journals/electronic-journal-of-probability/volume-28/issue-none/Applying-monoid-duality-to-a-double-contact-process/10.1214/23-EJP961.full
Počet záznamů: 1