The equality cases of the Ehrhard-Borell inequality
From MaRDI portal
Publication:1647385
DOI10.1016/j.aim.2018.04.013zbMath1430.60040arXiv1709.00061OpenAlexW2752119102WikidataQ129651759 ScholiaQ129651759MaRDI QIDQ1647385
Ramon van Handel, Yair Shenfeld
Publication date: 26 June 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.00061
Gaussian measuresdegenerate parabolic equationsequality casesEhrhard-Borell inequalityGaussian Brunn-Minkowski inequalities
Gaussian processes (60G15) Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50) Inequalities and extremum problems involving convexity in convex geometry (52A40) Functional inequalities, including subadditivity, convexity, etc. (39B62)
Related Items
The Minkowski problem in Gaussian probability space, On the tightness of Gaussian concentration for convex functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Brunn-Minkowski inequalities for variational functionals and related problems
- Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes (Extreme elements for the Gaussian Brunn-Minkowski inequalities)
- Critères de convexité et inégalités intégrales
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Lattice coverings and Gaussian measures of \(n\)-dimensional convex bodies
- The Ehrhard inequality
- Gaussian measures of dilatations of convex symmetric sets
- A Gaussian small deviation inequality for convex functions
- A note on parabolic convexity and heat conduction
- Cases of equality in the Riesz rearrangement inequality
- Convex set functions in \(d\)-space
- Strongly degenerate time inhomogeneous SDEs: densities and support properties. Application to Hodgkin-Huxley type systems
- The Borell-Ehrhard game
- Inequalities of the Brunn-Minkowski type for Gaussian measures
- Symétrisation dans l'espace de Gauss.
- The moment problem for some Wiener functionals: corrections to previous proofs (with an appendix by H. L. Pedersen)
- Hessian of Bellman functions and uniqueness of the Brascamp–Lieb inequality
- On Gaussian Brunn–Minkowski inequalities
- The Brunn-Minkowski inequality
- A note on the Ehrhard inequality
- Analysis and Geometry of Markov Diffusion Operators
- Sharp Poincaré-Type Inequality for the Gaussian Measure on the Boundary of Convex Sets
- On the Measure of Sum-Sets. (I) The Theorems of Brunn, Minkowski, and Lusternik
- On the cases of equality in Bobkov's inequality and Gaussian rearrangement
