0506795 20240903170546.120190724235959.9 85070633884 000482655300017 10.1214/19-AAP1461 38 s. P cav_un_epca*02554261050-5164294 (2019)2556-2593Institute of Mathematical Statistics biased voter model interface tightness branching and coalescing random walks cav_un_auth*0253274 Sun R. SG cav_un_auth*0217893 Department of Stochastic Informatics 33 Swart Jan M. UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0266677 33 Yu J. CN http://library.utia.cas.cz/separaty/2019/SI/swart-0506795.pdf https://projecteuclid.org/euclid.aoap/1563869050 cav_un_auth*0334217 GA16-15238S GA ČR CZ A one-dimensional interacting particle system is said to exhibit interface tightness if starting in an initial condition describing the interface between two constant configurations of different types, the process modulo translations is positive recurrent. In a biological setting, this describes two populations that do not mix, and it is believed to be a common phenomenon in one-dimensional particle systems. Interface tightness has been proved for voter models satisfying a finite second moment condition on the rates. We extend this to biased voter models. Furthermore, we show that the distribution of the equilibrium interface for the biased voter model converges to that of the voter model when the bias parameter tends to zero. A key ingredient is an identity for the expected number of boundaries in the equilibrium voter model interface, which is of independent interest. WOS BA 10000 10100 10101 2020 3 4 A hod sml 4ah 4as 20231122144136.1 RVO:67985556 http://hdl.handle.net/11104/0297991 cav_un_auth*0319768 National University of Singapore NUS SG cav_un_auth*0377457 New York University, Shanghai CN 1 Department of Stochastic Informatics UTIA-B 10103 STATISTICS & PROBABILITY S Copyright transfer agreement 20190419 copyright transfer agreement 3+4 Article Mathematics|Logic C STATISTICS&PROBABILITY 1.954 0.375 11.2 0.01136 1.866 3379 93 1.812 34.23 1.83 601 Q1 1.388 96 Q2 85.533 64.9 Q1 Q4 1 Q1 64.919 2019 Soubory v repozitáři: swart-0506795.pdf, swart-0506795-copyright.pdf 85070633884 SCOPUS PUBMED 000482655300017 WOS cav_un_epca*0255426 Annals of Applied Probability 1050-5164 Roč. 29 č. 4 2019 2556 2593 Institute of Mathematical Statistics