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Dynamic approach to a stochastic domination: The FKG and Brascamp-Lieb inequalities
Author(s):
Tadahisa
Funaki;
Kou
Toukairin
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1915-1922.
MSC (2000):
Primary 82B31;
Secondary 82B20, 60K35
Posted:
February 6, 2007
MathSciNet review:
2286104
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Additional information
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.
References:
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Additional Information:
Tadahisa
Funaki
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo 153-8914, Japan
Email:
funaki@ms.u-tokyo.ac.jp
Kou
Toukairin
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo 153-8914, Japan
Address at time of publication:
Lehman Brothers Japan Inc., Roppongi Hills, Tokyo
Email:
kou.toukairin@lehman.com
DOI:
10.1090/S0002-9939-07-08757-6
PII:
S 0002-9939(07)08757-6
Keywords:
Stochastic domination,
FKG inequality,
Brascamp-Lieb inequality,
Coupling
Received by editor(s):
April 10, 2006
Posted:
February 6, 2007
Additional Notes:
The first author was supported in part by JSPS Grants (B)14340029 and 17654020
Communicated by:
Edward C. Waymire
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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