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Academic Journal

LOG-HESSIAN FORMULA AND THE TALAGRAND CONJECTURE

Authors : Gozlan, Nathael; Li, Xue-Mei; Madiman, Mokshay ...

Subjects: Hypercontractivity; Concentration; Ornstein-Uhlenbeck semigroup

Source: ISSN: 0926-2601.

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Academic Journal

TRANSPORT PROOFS OF SOME DISCRETE VARIANTS OF THE PRÉKOPA-LEINDLER INEQUALITY ; Preuve par transport de mesure de versions discrètes de l'inégalité de Preekopa-Leindler

Authors : Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie ...

Subjects: 60E15; 32F32; 26D10

Source: ISSN: 0391-173X.

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Book

DEVIATION INEQUALITIES FOR CONVEX FUNCTIONS MOTIVATED BY THE TALAGRAND CONJECTURE

Authors : Gozlan, Nathael; Madiman, Mokshay; Roberto, Cyril ...

Subjects: Talagrand conjecture; Ehrhard inequality; Hypercontractivity

Source: Sudakov memorial volume ; https://hal.science/hal-01543705 ; Sudakov memorial volume, 457, pp.168-182, 2017, Zapiski Nauchnyh Seminarov POMI, ⟨10.1007/s10958-019-04249-2⟩

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Academic Journal

Characterization of a class of weak transport-entropy inequalities on the line

Authors : Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie ...

Subjects: concentration of measure; majorization; Transport inequalities

Source: ISSN: 0246-0203.

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Academic Journal

KANTOROVICH DUALITY FOR GENERAL TRANSPORT COSTS AND APPLICATIONS

Authors : Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie ...

Subjects: Transport inequalities; Poisson measure; Concentration of measure

Source: ISSN: 0022-1236.

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Academic Journal

CHARACTERIZATION OF TALAGRAND'S TRANSPORT-ENTROPY INEQUALITIES IN METRIC SPACES.

Authors : Gozlan, Nathaël; Roberto, Cyril; Samson, Paul-Marie ...

Subjects: metric spaces; Poincaré inequalities; Transport inequalities

Source: ISSN: 0091-1798.

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Academic Journal

Transport inequalities. A survey

Authors : Gozlan, Nathael; Léonard, Christian;

Subjects: Transport inequalities; Optimal transport; Relative entropy

Source: ISSN: 1024-2953.

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Academic Journal

Sub-gaussian measures and associated semilinear problems

Authors : Fougères, Pierre; Roberto, Cyril; Zegarlinski, Boguslaw ...

Subjects: F-Sobolev inequalities; Semilinear parabolic problems; Infinite dimensions

Source: ISSN: 0213-2230 ; Revista Matemática Iberoamericana ; https://hal.science/hal-00149360 ; Revista Matemática Iberoamericana, 2012, 28 (2), pp.305-350. ⟨10.4171/RMI/679⟩.

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Academic Journal

Probabilistic approach for granular media equations in the non uniformly convex case.

Authors : Cattiaux, Patrick; Guillin, Arnaud; Malrieu, Florent ...

Subjects: Concentration inequalities; Granular media equation; transportation cost inequality

Source: ISSN: 0178-8051.

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Academic Journal

A large deviation approach to some transportation cost inequalities

Authors : Gozlan, Nathael; Léonard, Christian;

Subjects: Transportation cost inequalities; Large deviations; Concentration of measure

Source: ISSN: 0178-8051.

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