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dc.contributor.author
Bollobás, Béla
dc.contributor.author
Griffiths, Simon
dc.contributor.author
Morris, Robert
dc.contributor.author
Trivellato Rolla, Leonardo
dc.contributor.author
Smith, Paul
dc.date.available
2021-07-15T15:19:17Z
dc.date.issued
2019-10-22
dc.identifier.citation
Bollobás, Béla; Griffiths, Simon; Morris, Robert; Trivellato Rolla, Leonardo; Smith, Paul; Nucleation and growth in two dimensions; John Wiley & Sons Inc; Random Structures Algorithms; 56; 1; 22-10-2019; 63-96
dc.identifier.issn
1042-9832
dc.identifier.uri
http://hdl.handle.net/11336/136209
dc.description.abstract
We consider a dynamical process on a graph G, in which vertices are infected (randomly) at a rate which depends on the number of their neighbors that are already infected. This model includes bootstrap percolation and first-passage percolation as its extreme points. We give a precise description of the evolution of this process on the graph Z^2, significantly sharpening results of Dehghanpour and Schonmann. In particular, we determine the typical infection time up to a constant factor for almost all natural values of the parameters, and in a large range we obtain a stronger, sharp threshold.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
John Wiley & Sons Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
NUCLEATION AND GROWTH
dc.subject
BOOTSTRAP PERCOLATION
dc.subject
FIRST PASSAGE PERCOLATION
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RELAXATION TIME
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KESTEN–SCHONMANN MODEL
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Nucleation and growth in two dimensions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-27T18:10:20Z
dc.journal.volume
56
dc.journal.number
1
dc.journal.pagination
63-96
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Bollobás, Béla. University of Cambridge; Estados Unidos. University of Memphis; Estados Unidos
dc.description.fil
Fil: Griffiths, Simon. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil
dc.description.fil
Fil: Morris, Robert. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil
dc.description.fil
Fil: Trivellato Rolla, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Smith, Paul. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil
dc.journal.title
Random Structures Algorithms
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/rsa.20888
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/rsa.20888
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1508.06267
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