A convex/log-concave correlation inequality for Gaussian measure and an application to abstract Wiener spaces
From MaRDI portal
Publication:1765112
DOI10.1007/s00440-004-0365-8zbMath1059.60022OpenAlexW2147965328MaRDI QIDQ1765112
Publication date: 22 February 2005
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00440-004-0365-8
Inequalities; stochastic orderings (60E15) Stochastic integrals (60H05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Related Items
Unnamed Item, An elementary approach to free entropy theory for convex potentials, A simple approach to chaos for \(p\)-spin models, A generalization of Caffarelli's contraction theorem via (reverse) heat flow, Nonsymmetric examples for Gaussian correlation inequalities, The CLT in high dimensions: quantitative bounds via martingale embedding, Chernoff's density is log-concave, Global Hölder estimates for optimal transportation, An extremal property of the normal distribution, with a discrete analog, Log-concavity and strong log-concavity: a review, Second order asymptotics for matrix models, Spectral gaps, symmetries and log-concave perturbations, Strong Log-concavity is Preserved by Convolution, Bounding the Norm of a Log-Concave Vector Via Thin-Shell Estimates, Transport-majorization to analytic and geometric inequalities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized stochastic integrals and the Malliavin calculus
- On stochastic integration by series of Wiener integrals
- Various topologies in the Wiener space and Lévy's stochastic area
- Traces of random variables on Wiener space and the Onsager-Machlup functional
- A note on conditional exponential moments and Onsager-Machlup functionals
- Gaussian measures in Banach spaces
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- A Gaussian correlation inequality for symmetric convex sets
- A nonsymmetric correlation inequality for Gaussian measure
- On the Gaussian measure of the intersection
- Onsager Machlup functionals for non trace class SPDE's
- Some applications of mass transport to Gaussian-type inequalities
- The Onsager-Machlup functions for Gaussian measures
- Itô-Wiener chaos expansion with exact residual and correlation, variance inequalities
- A particular case of correlation inequality for the Gaussian measure
- Existence and uniqueness of monotone measure-preserving maps
- Polar factorization and monotone rearrangement of vector‐valued functions
- The Regularity of Mappings with a Convex Potential
- Support theorems for a class of anticipating stochastic differentialequations
- Boundary regularity of maps with convex potentials
- Homogeneous Chaos, p-Forms, Scaling and the Feynman Integral
- Measurable Functions on Hilbert Space
- Monotonicity properties of optimal transportation and the FKG and related inequalities
- Approximative limits on the Wiener space