Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms (Q5110290)

scientific article; zbMATH DE number 7201610

Language	Label	Description	Also known as
English	Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms	scientific article; zbMATH DE number 7201610

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instance of

scholarly article

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title

Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms (English)

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SIAM Journal on Mathematical Analysis

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publication date

18 May 2020

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full work available at URL

https://arxiv.org/abs/1711.09570

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zbMATH Keywords

stochastic heat equation

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Ricci curvature

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functional inequality

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quasi-regular Dirichlet form

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MaRDI profile type

MaRDI publication profile

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Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms

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Finite dimensional approximations to Wiener measure and path integral formulas on manifolds

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Q5186515

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Algebraic renormalisation of regularity structures

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Stochastic Geometric Partial Differential Equations

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

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Q5473394

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A concrete estimate for the weak Poincaré inequality on loop space

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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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Symmetric Ornstein-Uhlenbeck semigroups and their generators

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Kolmogorov equations for stochastic PDEs.

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

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A Cameron-Martin Type Quasi-Invariance Theorem for Pinned Brownian Motion on a Compact Riemannian Manifold

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Q4033881

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On the geometry of diffusion operators and stochastic flows

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Vector fields on mapping spaces and related Dirichlet forms and diffusions

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Analysis on free Riemannian path spaces

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Q4291262

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Remarks on spectral gaps on the Riemannian path space

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Dirichlet forms and symmetric Markov processes

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Q3766545

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A stochastic partial differential equation with values in a manifold

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The log-Sobolev inequality on loop space over a compact Riemannian manifold

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Poincaré inequality for weighted first order Sobolev spaces on loop spaces

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Logarithmic Sobolev inequalities of diffusions for the \(L^2\) metric

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PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES

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A theory of regularity structures

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Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold

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Q2778802

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Logarithmic Sobolev inequalities on path spaces over Riemannian manifolds

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Q5317370

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On integral transformations associated with a certain Lagrangian - as a prototype of quantization

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Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures

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An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature

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A class of processes on the path space over a compact Riemannian manifold with unbounded diffusion

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Introduction to the theory of (non-symmetric) Dirichlet forms

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Construction of diffusions on configuration spaces

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Ornstein-Uhlenbeck processes indexed by the circle

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Twisted sheets

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Q3312869

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Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications

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Ergodicity for the stochastic quantization problems on the 2D-torus

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Q5693280

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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 Riemannian path and loop spaces

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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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Characterizations of the upper bound of Bakry-Emery curvature

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Lattice approximation to the dynamical \(\Phi_{3}^{4}\) model

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Identifiers

zbMATH Open document ID

1445.60048

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DOI

10.1137/18M1211076

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5110290