Seven-dimensional forest fires

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)862-866
Number of pages5
JournalAnnales De L Institut Henri Poincare-Probabilites Et Statistiques
Issue number3
StatePublished - 1 Aug 2015

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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