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

DOI10.1090/S0002-9939-07-08757-6zbMath1139.82016OpenAlexW1849122201MaRDI QIDQ3430204

Kou Toukairin, Tadahisa Funaki

Publication date: 21 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08757-6

zbMATH Keywords

couplingstochastic dominationFortuin-Kasteleyn-Ginibre inequalityBrascamp-Lieb inequality

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (2)

Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates ⋮ Concentration under scaling limits for weakly pinned Gaussian random walks

Cites Work

• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Correlation inequalities on some partially ordered sets
• Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2--8, 2001
• Supplements and corrections to the paper: A classification of the second order degenerate elliptic operators and its probabilistic characterization
• On stochastic domination in the BrascampLieb framework
• Ergodicity for Infinite Dimensional Systems
• Monotonicity properties of optimal transportation and the FKG and related inequalities
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