Gibbsianness of locally thinned random fields
dc.bibliographicCitation.volume | 2910 | |
dc.contributor.author | Engler, Nils | |
dc.contributor.author | Jahnel, Benedikt | |
dc.contributor.author | Külske, Christof | |
dc.date.accessioned | 2022-07-08T13:04:38Z | |
dc.date.available | 2022-07-08T13:04:38Z | |
dc.date.issued | 2022 | |
dc.description.abstract | We consider the locally thinned Bernoulli field on ℤ d, which is the lattice version of the Type-I Matérn hardcore process in Euclidean space. It is given as the lattice field of occupation variables, obtained as image of an i.i.d. Bernoulli lattice field with occupation probability p, under the map which removes all particles with neighbors, while keeping the isolated particles. We prove that the thinned measure has a Gibbsian representation and provide control on its quasilocal dependence, both in the regime of small p, but also in the regime of large p, where the thinning transformation changes the Bernoulli measure drastically. Our methods rely on Dobrushin uniqueness criteria, disagreement percolation arguments [46], and cluster expansions | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9668 | |
dc.identifier.uri | https://doi.org/10.34657/8706 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2910 | |
dc.relation.hasversion | https://doi.org/10.48550/arXiv.2201.02651 | |
dc.relation.issn | 2198-5855 | |
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.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.subject | Gibbsianness | eng |
dc.subject | Bernoulli field | eng |
dc.subject | local thinning | eng |
dc.subject | two-layer representation | eng |
dc.subject | Dobrushin uniqueness | eng |
dc.subject | cluster expansion | eng |
dc.subject | disagreement percolation | eng |
dc.subject.ddc | 510 | |
dc.title | Gibbsianness of locally thinned random fields | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dcterms.extent | 25 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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