Seven-dimensional forest fires
classification
🧮 math.PR
keywords
infiniteclusterforesthighpercolationberg-brouwerbernoullicomponent
read the original abstract
We show that in high dimensional Bernoulli 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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