| bibtype |
J -
Journal Article
|
| ARLID |
0534730 |
| utime |
20240103224747.8 |
| mtime |
20201120235959.9 |
| SCOPUS |
85097471750 |
| WOS |
000592642200025 |
| DOI |
10.3150/20-BEJ1252 |
| title
(primary) (eng) |
An invariance principle for biased voter model interfaces |
| specification |
| page_count |
22 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0252218 |
| ISSN |
1350-7265 |
| title
|
Bernoulli |
| volume_id |
27 |
| volume |
1 (2021) |
| page_num |
615-636 |
| publisher |
| name |
International Statistical Institute |
|
|
| keyword |
biased voter model |
| keyword |
branching and coalescing random walks |
| keyword |
interface tightness |
| keyword |
invariance principle |
| author
(primary) |
| ARLID |
cav_un_auth*0253274 |
| name1 |
Sun |
| name2 |
R. |
| country |
SG |
|
| author
|
| ARLID |
cav_un_auth*0217893 |
| name1 |
Swart |
| name2 |
Jan M. |
| institution |
UTIA-B |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| full_dept |
Department of Stochastic Informatics |
| country |
CZ |
| share |
33 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0266677 |
| name1 |
Yu |
| name2 |
J. |
| country |
CN |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA19-07140S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0385132 |
|
| abstract
(eng) |
We consider one-dimensional biased voter models, where 1’s replace 0’s at a faster rate than the other way round, started in a Heaviside initial state describing the interface between two infinite populations of 0’s and 1’s. In the limit of weak bias, for a diffusively rescaled process, we consider a measure-valued process describing the local fraction of type 1 sites as a function of time. Under a finite second moment condition on the rates, we show that in the diffusive scaling limit there is a drifted Brownian path with the property that all but a vanishingly small fraction of the sites on the left (resp. right) of this path are of type 0 (resp. 1). This extends known results for unbiased voter models. Our proofs depend crucially on recent results about interface tightness for biased voter models. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10103 |
| reportyear |
2022 |
| num_of_auth |
3 |
| mrcbC52 |
4 A sml 4as 20231122145311.3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0313195 |
| 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 |
|
| confidential |
S |
| contract |
| name |
Copyright transfer agreement |
| date |
20200904 |
|
| mrcbC86 |
3+4 Article Statistics Probability |
| mrcbC91 |
C |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
1.704 |
| mrcbT16-s |
1.764 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2021 |
| mrcbTft |
\nSoubory v repozitáři: swart-0534730-copyright-scan.pdf |
| mrcbU14 |
85097471750 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000592642200025 WOS |
| mrcbU63 |
cav_un_epca*0252218 Bernoulli 1350-7265 1573-9759 Roč. 27 č. 1 2021 615 636 International Statistical Institute |
|