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Characterizations of the upper bound of Bakry-Emery curvature (Q2658964)

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Language	Label	Description	Also known as
English	Characterizations of the upper bound of Bakry-Emery curvature	scientific article

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scholarly article

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Characterizations of the upper bound of Bakry-Emery curvature (English)

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The Journal of Geometric Analysis

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publication date

25 March 2021

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full work available at URL

https://arxiv.org/abs/1612.03714

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zbMATH Keywords

Bakry-Émery curvature

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functional inequality

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diffusion process

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path space

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MaRDI profile type

MaRDI publication profile

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Logarithmic derivatives of heat kernels and logarithmic Sobolev inequalities with unbounded diffusion coefficients on loop spaces

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Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds

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Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces

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Functional inequality on path space over a non-compact Riemannian manifold

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Characterization of pinched Ricci curvature by functional inequalities

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Spectral gap on Riemannian path space over static and evolving manifolds

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A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold

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On the geometry of diffusion operators and stochastic flows

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Towards a Riemannian geometry on the path space over a Riemannian manifold

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Remarks on spectral gaps on the Riemannian path space

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Transportation-cost inequality on path spaces with uniform distance

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Ricci Curvature and Bochner Formulas for Martingales

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Logarithmic Sobolev inequalities on path spaces over Riemannian manifolds

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Multiplicative functional for the heat equation on manifolds with boundary.

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Tightness of general \(C_{1,p}\) capacities on Banach space

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Gradient estimates for harmonic functions on regular domains in Riemannian manifolds

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Analysis on path spaces over Riemannian manifolds with boundary

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Analysis for Diffusion Processes on Riemannian Manifolds

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Identifying constant curvature manifolds, Einstein manifolds, and Ricci parallel manifolds

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QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES

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Pointwise characterizations of curvature and second fundamental form on Riemannian manifolds

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Identifiers

zbMATH Open document ID

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10.1007/s12220-019-00222-2

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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:2658964

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