| project |
| ARLID |
cav_un_auth*0334217 |
| project_id |
GA16-15238S |
| agency |
GA ČR |
| country |
CZ |
|
| abstract
(eng) |
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. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2020 |
| num_of_auth |
3 |
| mrcbC52 |
4 A hod sml 4ah 4as 20231122144136.1 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0297991 |
| cooperation |
| ARLID |
cav_un_auth*0319768 |
| name |
National University of Singapore |
| institution |
NUS |
| country |
SG |
|
| cooperation |
| ARLID |
cav_un_auth*0377457 |
| name |
New York University, Shanghai |
| country |
CN |
|
| mrcbC64 |
1 Department of Stochastic Informatics UTIA-B 10103 STATISTICS & PROBABILITY |
| confidential |
S |
| contract |
| name |
Copyright transfer agreement |
| date |
20190419 |
| note |
copyright transfer agreement |
|
| mrcbC86 |
3+4 Article Statistics Probability |
| mrcbC91 |
C |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
1.866 |
| mrcbT16-s |
1.812 |
| mrcbT16-B |
85.533 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q4 |
| arlyear |
2019 |
| mrcbTft |
\nSoubory v repozitáři: swart-0506795.pdf, swart-0506795-copyright.pdf |
| mrcbU14 |
85070633884 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000482655300017 WOS |
| mrcbU63 |
cav_un_epca*0255426 Annals of Applied Probability 1050-5164 Roč. 29 č. 4 2019 2556 2593 Institute of Mathematical Statistics |