Počet záznamů: 1

A particle system with cooperative branching and coalescence

SYSNO ASEP	0442871
Druh ASEP	J - Článek v odborném periodiku
Zařazení RIV	J - Článek v odborném periodiku
Poddruh J	Článek ve WOS
Název	A particle system with cooperative branching and coalescence
Tvůrce(i)	Sturm, A. (DE) Swart, Jan M. (UTIA-B)_{RID, ORCID}
Celkový počet autorů	2
Zdroj.dok.	Annals of Applied Probability. - : Institute of Mathematical Statistics - ISSN 1050-5164 Roč. 25, č. 3 (2015), s. 1616-1649
Poč.str.	34 s.
Forma vydání	Tištěná - P
Jazyk dok.	eng - angličtina
Země vyd.	US - Spojené státy americké
Klíč. slova	interacting particle system ; cooperative branching ; coalescence ; phase transition ; upper invariant law ; survival ; extinction
Vědní obor RIV	BA - Obecná matematika
CEP	GAP201/10/0752 GA ČR - Grantová agentura ČR
Institucionální podpora	UTIA-B - RVO:67985556
UT WOS	000353527000015
EID SCOPUS	84925451822
DOI	10.1214/14-AAP1032
Anotace	In this paper, we introduce a one-dimensional model of particles performing independent random walks, where only pairs of particles can produce offspring ("cooperative branching") and particles that land on an occupied site merge with the particle present on that site ("coalescence"). We show that the system undergoes a phase transition as the branching rate is increased. For small branching rates the upper invariant law is trivial and the process started with finitely many particles a.s. ends up with a single particle. Both statements are not true for high branching rates. An interesting feature of the process is that the spectral gap is zero even for low branching rates. Indeed, if the branching rate is small enough, then we show that for the process started in the fully occupied state, the particle density decays as one over the square root of time, and the same is true for the decay of the probability that the process still has more than one particle at a later time if it started with two particles.
Pracoviště	Ústav teorie informace a automatizace
Kontakt	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Rok sběru	2016

Počet záznamů: 1