ONE-DIMENSIONAL RANDOM WALKS WITH SELF-BLOCKING IMMIGRATION
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Matthias Birkner
- Rongfeng Sun
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000397363200005&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1214/16-AAP1199
- Externe Identifier
- Clarivate Analytics Document Solution ID: EP4PU
- ISSN
- 1050-5164
- Ausgabe der Veröffentlichung
- 1
- Zeitschrift
- ANNALS OF APPLIED PROBABILITY
- Schlüsselwörter
- Interacting random walks
- density-dependent immigration
- Poisson comparison vacant time
- Paginierung
- 109 - 139
- Datum der Veröffentlichung
- 2017
- Status
- Published
- Titel
- ONE-DIMENSIONAL RANDOM WALKS WITH SELF-BLOCKING IMMIGRATION
- Sub types
- Article
- Ausgabe der Zeitschrift
- 27
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Autoren
- Matthias Birkner
- Rongfeng Sun
- DOI
- 10.1214/16-aap1199
- ISSN
- 1050-5164
- Ausgabe der Veröffentlichung
- 1
- Zeitschrift
- The Annals of Applied Probability
- Datum der Veröffentlichung
- 2017
- Status
- Published
- Herausgeber
- Institute of Mathematical Statistics
- Herausgeber URL
- http://dx.doi.org/10.1214/16-aap1199
- Datum der Datenerfassung
- 2021
- Titel
- One-dimensional random walks with self-blocking immigration
- Ausgabe der Zeitschrift
- 27
Data source: Crossref
- Abstract
- We consider a system of independent one-dimensional random walkers where new particles are added at the origin at fixed rate whenever there is no older particle present at the origin. A Poisson ansatz leads to a semi-linear lattice heat equation and predicts that starting from the empty configuration the total number of particles grows as $c \sqrt{t} \log t$. We confirm this prediction and also describe the asymptotic macroscopic profile of the particle configuration.
- Autoren
- Matthias Birkner
- Rongfeng Sun
- Autoren-URL
- http://arxiv.org/abs/1410.4344v2
- Schlüsselwörter
- math.PR
- math.PR
- Notes
- Revised version; in particular, details of the proof of the lower bound have been worked out more explicitly
- Datum der Veröffentlichung
- 2014
- Datum der Datenerfassung
- 2014
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2014
- Titel
- One-dimensional random walks with self-blocking immigration
Files
1410.4344v2.pdf
Data source: arXiv
- Beziehungen:
- Property of