The Borell-Ehrhard game

DOI10.1007/s00440-017-0762-4zbMath1429.60041arXiv1605.00285OpenAlexW2346144059MaRDI QIDQ2413238

Ramon van Handel

Publication date: 10 April 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00285

zbMATH Keywords

convexitystochastic gamesGaussian measuresEhrhard inequality

Mathematics Subject Classification ID

Gaussian processes (60G15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Stochastic games, stochastic differential games (91A15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items

The equality cases of the Ehrhard-Borell inequality ⋮ Nonexponential Sanov and Schilder theorems on Wiener space: BSDEs, Schrödinger problems and control ⋮ An Interpolation Proof of Ehrhard’s Inequality ⋮ On the tightness of Gaussian concentration for convex functions ⋮ Deviation inequalities for convex functions motivated by the Talagrand conjecture

Cites Work

• Representation formula for the entropy and functional inequalities
• On a reverse form of the Brascamp-Lieb inequality
• A variational representation for certain functionals of Brownian motion
• Another approach to the existence of value functions of stochastic differential games
• The Ehrhard inequality
• Diffusion equations and geometric inequalities
• Inequalities of the Brunn-Minkowski type for Gaussian measures
• Minkowski sums and Brownian exit times
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• Controlled Markov processes and viscosity solutions
• Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems
• Symétrisation dans l'espace de Gauss.
• Hessian of Bellman functions and uniqueness of the Brascamp–Lieb inequality
• On Gaussian Brunn–Minkowski inequalities
• Variational Analysis
• The Brunn-Minkowski inequality
• A boundary value problem and the Ehrhard inequality
• A note on the Ehrhard inequality
• Analysis and Geometry of Markov Diffusion Operators
• An Interpolation Proof of Ehrhard’s Inequality
• Asymptotic Geometric Analysis, Part I
• Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach
• Sharp Poincaré-Type Inequality for the Gaussian Measure on the Boundary of Convex Sets
• The existence of value in differential games
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