Seven-dimensional forest fires

D Ahlberg; H Duminil-Copin; Gady Kozma; V Sidoravicius

doi:10.1214/13-AIHP587

Seven-dimensional forest fires

D Ahlberg, H Duminil-Copin, Gady Kozma, V Sidoravicius

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We show that in high dimensional Bernoulli bond percolation, removing from a thin infinite cluster a much thinner infinite cluster leaves an infinite component. This observation has implications for the van den Berg-Brouwer forest fire process, also known as self-destructive percolation, for dimension high enough.

Original language	English
Pages (from-to)	862-866
Number of pages	5
Journal	Annales De L Institut Henri Poincare-Probabilites Et Statistiques
Volume	51
Issue number	3
DOIs	https://doi.org/10.1214/13-AIHP587
State	Published - 1 Aug 2015

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/13-AIHP587

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title = "Seven-dimensional forest fires",

abstract = "We show that in high dimensional Bernoulli bond percolation, removing from a thin infinite cluster a much thinner infinite cluster leaves an infinite component. This observation has implications for the van den Berg-Brouwer forest fire process, also known as self-destructive percolation, for dimension high enough.",

author = "D Ahlberg and H Duminil-Copin and Gady Kozma and V Sidoravicius",

note = "Publisher Copyright: {\textcopyright} 2015 Association des Publications de l'Institut Henri Poincar{\'e}.",

year = "2015",

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AU - Kozma, Gady

AU - Sidoravicius, V

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N2 - We show that in high dimensional Bernoulli bond percolation, removing from a thin infinite cluster a much thinner infinite cluster leaves an infinite component. This observation has implications for the van den Berg-Brouwer forest fire process, also known as self-destructive percolation, for dimension high enough.

AB - We show that in high dimensional Bernoulli bond percolation, removing from a thin infinite cluster a much thinner infinite cluster leaves an infinite component. This observation has implications for the van den Berg-Brouwer forest fire process, also known as self-destructive percolation, for dimension high enough.

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M3 - مقالة

SN - 0246-0203

VL - 51

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JO - Annales De L Institut Henri Poincare-Probabilites Et Statistiques

JF - Annales De L Institut Henri Poincare-Probabilites Et Statistiques

IS - 3

ER -

Seven-dimensional forest fires

Abstract

All Science Journal Classification (ASJC) codes

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