Random walk on random walks: Low densities
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2434 | |
dc.contributor.author | Blondel, Oriane | |
dc.contributor.author | Hilário, Marcelo R. | |
dc.contributor.author | Santos, Renato dos | |
dc.contributor.author | Sidoravicius, Vladas | |
dc.contributor.author | Teixeira, Augusto | |
dc.date.accessioned | 2017-11-14T00:49:28Z | |
dc.date.available | 2019-06-28T08:06:42Z | |
dc.date.issued | 2017 | |
dc.description.abstract | We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of perturbations: low particle density, and strong local drift on particles. Surprisingly, the random walker may behave very differently depending on whether the underlying environment particles perform lazy or non-lazy random walks, which is related to a notion of permeability of the system. We also provide a strong law of large numbers, a functional central limit theorem and large deviation bounds under an ellipticity condition. | |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.uri | https://doi.org/10.34657/3041 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2434 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2434 | |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.subject.ddc | 510 | |
dc.subject.other | Random walk | eng |
dc.subject.other | dynamic random environment | eng |
dc.subject.other | law of large numbers | eng |
dc.subject.other | central limit theorem | eng |
dc.subject.other | large deviations | eng |
dc.subject.other | renormalization | eng |
dc.subject.other | regeneration | eng |
dc.title | Random walk on random walks: Low densities | |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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