Geometric bounds on the Ornstein-Uhlenbeck velocity process

DOI10.1007/BF00532234zbMath0537.60084MaRDI QIDQ3322974

Christer Borell

Publication date: 1985

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

zbMATH Keywords

Ornstein-Uhlenbeck processfirst hitting time

Mathematics Subject Classification ID

Diffusion processes (60J60)

Related Items

Gaussian bounds for noise correlation of functions, Standard simplices and pluralities are not the most noise stable, Gaussian noise sensitivity and Fourier tails, Probabilistic view of voting, paradoxes, and manipulation, Solution of the propeller conjecture in \(\mathbb R^3\), Low correlation noise stability of symmetric sets, A quantitative Arrow theorem, Hypercontractivity for global functions and sharp thresholds, Analysis of high-dimensional distributions using pathwise methods, A sprinkled decoupling inequality for Gaussian processes and applications, On the \(\Phi \)-stability and related conjectures, Interactions of computational complexity theory and mathematics, Geometric influences. II: Correlation inequalities and noise sensitivity, A two-sided estimate for the Gaussian noise stability deficit, Differential inequalities associated with weighted symmetrization processes on the real line, The real plank problem and some applications, Maximally stable Gaussian partitions with discrete applications, Noise stability of functions with low influences: invariance and optimality, Robust optimality of Gaussian noise stability, Pointwise symmetrization inequalities for Sobolev functions and applications, Dimension Reduction for Polynomials over Gaussian Space and Applications, Hypergraph Removal Lemmas via Robust Sharp Threshold Theorems, A Sharp Estimate for Dyadic Martingales with Multiple Indices, The structure of Gaussian minimal bubbles, Gaussian bounds for noise correlation of resilient functions, Algorithmic Extensions of Cheeger’s Inequality to Higher Eigenvalues and Partitions, On Khot’s unique games conjecture, Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities, Unnamed Item, Common Information, Noise Stability, and Their Extensions, Robust dimension free isoperimetry in Gaussian space

Cites Work

• Classes of solutions of linear systems of partial differential equations of parabolic type
• The Brunn-Minkowski inequality in Gauss space
• Integral means, univalent functions and circular symmetrization
• The cos \(\pi\lambda\) theorem. With a paper by Christopher Borell
• Symétrisation dans l'espace de Gauss.
• Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item