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Percolation probability (θ(p))

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Probability theory Percolation theory
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The percolation probability θ(p) is the probability that a specified root belongs to an infinite open cluster at parameter p.
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    • Percolation critical probability Percolation probability

Percolation critical probability (pc​)

 0  0
Percolation probability
The percolation critical probability is
pc​=inf{p:θ(p)>0}.
(1)

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  1. Percolation theory
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  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 204 / 2 / b / Solution

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