Dynamic approach to a stochastic domination: The FKG and Brascamp-Lieb inequalities

Tadahisa Funaki; Kou Toukairin

doi:10.1090/S0002-9939-07-08757-6

Dynamic approach to a stochastic domination: The FKG and Brascamp-Lieb inequalities

Tadahisa Funaki^*, Kou Toukairin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A coupling based on a pair of stochastic differential equations is introduced to show a stochastic domination for a system with continuous spins, from which the FKG and Brascamp-Lieb like inequalities follow.

Original language	English
Pages (from-to)	1915-1922
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-07-08757-6
Publication status	Published - 2007 Jun
Externally published	Yes

Keywords

Brascamp-Lieb inequality
Coupling
FKG inequality
Stochastic domination

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-07-08757-6

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title = "Dynamic approach to a stochastic domination: The FKG and Brascamp-Lieb inequalities",

abstract = "A coupling based on a pair of stochastic differential equations is introduced to show a stochastic domination for a system with continuous spins, from which the FKG and Brascamp-Lieb like inequalities follow.",

keywords = "Brascamp-Lieb inequality, Coupling, FKG inequality, Stochastic domination",

author = "Tadahisa Funaki and Kou Toukairin",

year = "2007",

month = jun,

doi = "10.1090/S0002-9939-07-08757-6",

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T2 - The FKG and Brascamp-Lieb inequalities

AU - Funaki, Tadahisa

AU - Toukairin, Kou

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N2 - A coupling based on a pair of stochastic differential equations is introduced to show a stochastic domination for a system with continuous spins, from which the FKG and Brascamp-Lieb like inequalities follow.

AB - A coupling based on a pair of stochastic differential equations is introduced to show a stochastic domination for a system with continuous spins, from which the FKG and Brascamp-Lieb like inequalities follow.

KW - Brascamp-Lieb inequality

KW - Coupling

KW - FKG inequality

KW - Stochastic domination

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VL - 135

SP - 1915

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Dynamic approach to a stochastic domination: The FKG and Brascamp-Lieb inequalities

Abstract

Keywords

ASJC Scopus subject areas

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