The Brownian transport map (Q6617188)

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scientific article; zbMATH DE number 7924624

Language	Label	Description	Also known as
English	The Brownian transport map	scientific article; zbMATH DE number 7924624

Statements

scholarly article

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The Brownian transport map (English)

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publication date

10 October 2024

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zbMATH Keywords

Brownian transport map

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MaRDI profile type

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On the equivalence of Sobolev norms in Malliavin spaces

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Analysis and Geometry of Markov Diffusion Operators

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Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator

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Some new results on eigenvectors via dimension, diameter, and Ricci curvature

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Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence

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A Lyapunov-type Bound in <i>R<sup>d</sup></i>

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On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

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Monotonicity properties of optimal transportation and the FKG and related inequalities

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Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities

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Fluctuations of eigenvalues and second order Poincaré inequalities

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Dimension-free log-Sobolev inequalities for mixture distributions

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An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture

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An entropic generalization of Caffarelli's contraction theorem via covariance inequalities

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Some applications of mass transport to Gaussian-type inequalities

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Regularity of monotone transport maps between unbounded domains

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Stability of the Bakry-Émery theorem on \(\mathbb{R}^n\)

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Existence of Stein kernels under a spectral gap, and discrepancy bounds

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A stochastic control approach to reciprocal diffusion processes

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Thin shell implies spectral gap up to polylog via a stochastic localization scheme

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The CLT in high dimensions: quantitative bounds via martingale embedding

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Stein kernels and moment maps

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A proof of the Caffarelli contraction theorem via entropic regularization

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The notion of convexity and concavity on Wiener space

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Monge-Kantorovitch measure transportation and Monge-Ampère equation on Wiener space

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Solution of the Monge-Ampère equation on Wiener space for general log-concave measures

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Log-Sobolev inequalities and sampling from log-concave distributions

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Existence of Conditional Probabilities.

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Isoperimetric problems for convex bodies and a localization lemma

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A generalization of Caffarelli's contraction theorem via (reverse) heat flow

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Bourgain's slicing problem and KLS isoperimetry up to polylog

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Moment measures and stability for Gaussian inequalities

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Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities

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Causal transport plans and their Monge–Kantorovich problems

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The concentration of measure phenomenon

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Stein's method, logarithmic Sobolev and transport inequalities

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A Stein deficit for the logarithmic Sobolev inequality

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The Kannan–Lovász–Simonovits conjecture

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Representation formula for the entropy and functional inequalities

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A survey of the Schrödinger problem and some of its connections with optimal transport

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A CLT in Stein’s Distance for Generalized Wishart Matrices and Higher-Order Tensors

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On the Lipschitz properties of transportation along heat flows

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On the role of convexity in isoperimetry, spectral gap and concentration

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Sharp isoperimetric inequalities and model spaces for the curvature-dimension-diameter condition

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Normal approximations with Malliavin calculus. From Stein's method to universality

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Second order Poincaré inequalities and CLTs on Wiener space

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An optimal Poincaré inequality for convex domains

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Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one

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Optimal Transport

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Functional inequalities for convolution probability measures

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A high-dimensional CLT in \(\mathcal {W}_2\) distance with near optimal convergence rate

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Elementary proof of logarithmic Sobolev inequalities for Gaussian convolutions on \(\mathbb{R}\)

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Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00440-024-01286-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6617188

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