Directed random walk on the backbone of an oriented percolation cluster
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
-
- Autoren
- Matthias Birkner
- Jiri Cerny
- Andrej Depperschmidt
- Nina Gantert
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000323714300001&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1214/EJP.v18-2302
- Externe Identifier
- Clarivate Analytics Document Solution ID: 208XA
- ISSN
- 1083-6489
- Zeitschrift
- ELECTRONIC JOURNAL OF PROBABILITY
- Schlüsselwörter
- Random walk
- dynamical random environment
- oriented percolation
- supercritical cluster
- central limit theorem in random environment
- Artikelnummer
- ARTN 1
- Datum der Veröffentlichung
- 2013
- Status
- Published
- Titel
- Directed random walk on the backbone of an oriented percolation cluster
- Sub types
- Article
- Ausgabe der Zeitschrift
- 18
Datenquelle: Web of Science (Lite)
- Andere Metadatenquellen:
-
- Autoren
- Matthias Birkner
- Jiri Cerny
- Andrej Depperschmidt
- Nina Gantert
- DOI
- 10.1214/ejp.v18-2302
- ISSN
- 1083-6489
- Ausgabe der Veröffentlichung
- none
- Zeitschrift
- Electronic Journal of Probability
- Datum der Veröffentlichung
- 2013
- Status
- Published
- Herausgeber
- Institute of Mathematical Statistics
- Herausgeber URL
- http://dx.doi.org/10.1214/ejp.v18-2302
- Datum der Datenerfassung
- 2021
- Titel
- Directed random walk on the backbone of an oriented percolation cluster
- Ausgabe der Zeitschrift
- 18
Datenquelle: Crossref
- Abstract
- We consider a directed random walk on the backbone of the infinite cluster generated by supercritical oriented percolation, or equivalently the space-time embedding of the ``ancestral lineage'' of an individual in the stationary discrete-time contact process. We prove a law of large numbers and an annealed central limit theorem (i.e., averaged over the realisations of the cluster) using a regeneration approach. Furthermore, we obtain a quenched central limit theorem (i.e.\ for almost any realisation of the cluster) via an analysis of joint renewals of two independent walks on the same cluster.
- Autoren
- Matthias Birkner
- Jiri Cerny
- Andrej Depperschmidt
- Nina Gantert
- Autoren-URL
- http://arxiv.org/abs/1204.2951v3
- Schlüsselwörter
- math.PR
- math.PR
- 60K37, 60J10, 82B43, 60K35
- Notes
- Replaced by revised version. Title changed slightly. 43 pages, 2 figures
- Datum der Veröffentlichung
- 2012
- Datum der Datenerfassung
- 2012
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2012
- Titel
- Directed random walk on the backbone of an oriented percolation cluster
Files
1204.2951v3.pdf
Datenquelle: arXiv
- Beziehungen:
- Eigentum von