Random walks in dynamic random environments and ancestry under local population regulation
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Matthias Birkner
- Jiri Cerny
- Andrej Depperschmidt
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000378990000038&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1214/16-EJP4666
- Externe Identifier
- Clarivate Analytics Document Solution ID: DQ1WB
- ISSN
- 1083-6489
- Zeitschrift
- ELECTRONIC JOURNAL OF PROBABILITY
- Schlüsselwörter
- Random walk
- dynamical random environment
- oriented percolation
- supercritical cluster
- central limit theorem in random environment
- logistic branching random walk
- Artikelnummer
- ARTN 38
- Datum der Veröffentlichung
- 2016
- Status
- Published
- Titel
- Random walks in dynamic random environments and ancestry under local population regulation
- Sub types
- Article
- Ausgabe der Zeitschrift
- 21
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Autoren
- Matthias Birkner
- Jiří Černý
- Andrej Depperschmidt
- DOI
- 10.1214/16-ejp4666
- ISSN
- 1083-6489
- Ausgabe der Veröffentlichung
- none
- Zeitschrift
- Electronic Journal of Probability
- Datum der Veröffentlichung
- 2016
- Status
- Published
- Herausgeber
- Institute of Mathematical Statistics
- Herausgeber URL
- http://dx.doi.org/10.1214/16-ejp4666
- Datum der Datenerfassung
- 2021
- Titel
- Random walks in dynamic random environments and ancestry under local population regulation
- Ausgabe der Zeitschrift
- 21
Data source: Crossref
- Abstract
- We consider random walks in dynamic random environments, with an environment generated by the time-reversal of a Markov process from the oriented percolation universality class. If the influence of the random medium on the walk is small in space-time regions where the medium is typical, we obtain a law of large numbers and an averaged central limit theorem for the walk via a regeneration construction under suitable coarse-graining. Such random walks occur naturally as spatial embeddings of ancestral lineages in spatial population models with local regulation. We verify that our assumptions hold for logistic branching random walks when the population density is sufficiently high.
- Autoren
- Matthias Birkner
- Jiří Černý
- Andrej Depperschmidt
- Autoren-URL
- http://arxiv.org/abs/1505.02791v3
- Zeitschrift
- Electron. J. Probab., Volume 21 (2016), paper no. 38, 43 pp
- Schlüsselwörter
- math.PR
- math.PR
- 60K37, 60J10, 60K35, 82B43
- Notes
- Final version published by EJP. Main change is that following the suggestion of the referee we have added Section 5 where we discuss related models and problems
- Datum der Veröffentlichung
- 2015
- Herausgeber URL
- http://dx.doi.org/10.1214/16-EJP4666
- Datum der Datenerfassung
- 2015
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2015
- Titel
- Random walks in dynamic random environments and ancestry under local population regulation
Files
1505.02791v3.pdf
Data source: arXiv
- Beziehungen:
- Property of