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We extend recent higher order concentration results in the discrete setting to include functions of possibly dependent variables whose distribution (on the product space) satisfies a logarithmic Sobolev inequality with respect to a difference operator that arises from Gibbs sampler type dynamics.
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Daniel. Stroock and Bogusaw Zegarli\’nski · 1992
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Daniel. Stroock and Bogusaw Zegarli\’nski · 1992
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Tzong-Yow Lee and Horng-Tzer Yau · 1998
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Sergey. Bobkov and Friedrich Götze · 1999
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“Concentration inequalities for functions of Gibbs fields with application to diffraction and random Gibbs measures”
Christof Külske · 2003
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Katalin Marton · 2003
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Radosaw Adamczak · 2006
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Sergey. Bobkov and Prasad Tetali · 2006
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Sourav Chatterjee · 2007
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Luigi Ambrosio, Nicola Gigli and Giuseppe Savaré · 2008
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Luigi Ambrosio and Nicola Gigli · 2013
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“Analysis and geometry of Markov diffusion operators” 348
Dominique Bakry, Ivan Gentil and Michel Ledoux · 2014
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“Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order”
Radosaw Adamczak and Pawe Wolff · 2015
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Katalin Marton · 2015
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“Second Order Concentration via Logarithmic Sobolev Inequalities”
Friedrich Götze and Holger Sambale · 2016
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“Optimal transport” Old and new 338
Cédric Villani · 2009
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“Applications of Stein’s method for concentration inequalities”
Sourav Chatterjee and Partha. Dey · 2010
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Amir Dembo and Ofer Zeitouni · 2010
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Holger Sambale · 2016
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Sergey. Bobkov, Friedrich Götze and Holger Sambale · 2017
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“Stein’s Method for Stationary Distributions of Markov Chains and Application to Ising Models”
Guy Bresler and Dheeraj Nagaraj · 2017
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“Concentration of Multilinear Functions of the Ising Model with Applications to Network Data”
Constantinos Daskalakis, Nishanth Dikkala and Gautam Kamath · 2017
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Reza Gheissari, Eyal Lubetzky and Yuval Peres · 2017
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