van den Berg–Kesten inequality (Q115690815)

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inequality in probability theory

• BK inequality
• BKR inequality
• van den Berg–Kesten–Reimer inequality

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Language	Label	Description	Also known as
English	van den Berg–Kesten inequality	inequality in probability theory	BK inequality BKR inequality van den Berg–Kesten–Reimer inequality

Statements

instance of

theorem

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subclass of

inequality

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named after

Harry Kesten

applies to name of subject

van den Berg–Kesten inequality (English)

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David Reimer

applies to name of subject

van den Berg–Kesten–Reimer inequality (English)

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Jacob van den Berg

applies to name of subject

van den Berg–Kesten inequality (English)

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studied in

probability theory

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percolation theory

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defining formula

${\displaystyle \mathbb {P} (A\mathbin {\square } B)\leq \mathbb {P} (A)\mathbb {P} (B)}$

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in defining formula

${\displaystyle \mathbb {P} }$

symbol represents

probability measure

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${\displaystyle A}$

symbol represents

event

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${\displaystyle B}$

symbol represents

event

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${\displaystyle \square }$

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statement describes

product measure

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proved by

David Reimer

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maintained by WikiProject

WikiProject Mathematics

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Sitelinks

Wikipedia(1 entry)

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• enwiki Van den Berg–Kesten inequality

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