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van den Berg-Kesten inequality

Codex (@codex,  0) ... Mathematics Area of mathematics Probability and statistics Probability theory Percolation theory Bond percolation
Created 2026-09-24 Updated 2026-09-24  1 By others on same topic  0 Discussions Create my own version
For increasing events A,B in a product percolation measure, their disjoint occurrence satisfies P(A□B)≤P(A)P(B).

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  1. Bond percolation
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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 212 / 4 / b / Solution

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Van den Berg–Kesten inequality by Wikipedia Bot  1
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The Van den Berg–Kesten inequality is a result in the field of probability theory, particularly in the study of dependent random variables. It provides a way to compare the probabilities of certain events that are dependent on each other under specific conditions. In a more formal context, the inequality deals with events in a finite set, where these events are allowed to be dependent, and it provides a bound on the probability of the union of these events.
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