Stein kernels and moment maps (Q2327943)

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Language	Label	Description	Also known as
English	Stein kernels and moment maps	scientific article

Statements

scholarly article

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Stein kernels and moment maps (English)

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The Annals of Probability

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publication date

8 October 2019

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full work available at URL

https://arxiv.org/abs/1804.04699

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https://projecteuclid.org/euclid.aop/1562205706

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zbMATH Keywords

Stein's method

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central limit theorem

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optimal transport

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Monge-Ampère equation

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MaRDI profile type

MaRDI publication profile

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Stokes formula on the Wiener space and \(n\)-dimensional Nourdin-Peccati analysis

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Analysis and Geometry of Markov Diffusion Operators

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Stein's method for diffusion approximations

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Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties

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Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances

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From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities

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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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Fluctuations of eigenvalues and second order Poincaré inequalities

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Moment measures

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

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\(W^{2,1}\) regularity for solutions of the Monge-Ampère equation

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Kahler geometry on toric manifolds, and some other manifolds with large symmetry

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Optimal constants in the Marcinkiewicz-Zygmund inequalities

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The Monge-Ampère equation and its applications

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The Exact Constant in the Rosenthal Inequality for Random Variables with Mean Zero

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Uniform almost sub-Gaussian estimates for linear functionals on convex sets

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Logarithmically-Concave Moment Measures I

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Remarks on curvature in the transportation metric

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Moment measures and stability for Gaussian inequalities

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Hessian metrics, \(CD(K, N)\)-spaces, and optimal transportation of log-concave measures

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

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Some Stein-type inequalities for multivariate elliptical distributions and applications

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Stein's method, logarithmic Sobolev and transport inequalities

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Toric Kähler-Einstein metrics and convex compact polytopes

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Stein's method for comparison of univariate distributions

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Normal Approximations with Malliavin Calculus

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Multivariate normal approximation using Stein's method and Malliavin calculus

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Entropy and the fourth moment phenomenon

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Density formula and concentration inequalities with Malliavin calculus

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Fundamentals of Stein's method

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Dealing with moment measures via entropy and optimal transport

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Kähler--Ricci solitons on toric manifolds with positive first Chern class

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Identifiers

zbMATH Open document ID

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10.1214/18-AOP1305

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2327943

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