Regularity and stability of invariant measures for diffusion processes under synthetic lower Ricci curvature bounds (Q5090315)

scientific article; zbMATH DE number 7558533

Language	Label	Description	Also known as
English	Regularity and stability of invariant measures for diffusion processes under synthetic lower Ricci curvature bounds	scientific article; zbMATH DE number 7558533

Statements

instance of

scholarly article

0 references

title

Regularity and stability of invariant measures for diffusion processes under synthetic lower Ricci curvature bounds (English)

0 references

zbMATH Open document ID

1502.53068

0 references

DOI

10.2422/2036-2145.201911_001

0 references

author

Kohei Suzuki

0 references

published in

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

0 references

publication date

18 July 2022

0 references

full work available at URL

https://arxiv.org/abs/1812.00745

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

regularity

0 references

stability

0 references

invariant measures

0 references

lower Ricci curvature bonds

0 references

Ricci curvature bonds

0 references

diffusion processes

0 references

MaRDI profile type

MaRDI publication profile

0 references

0 references

0 references

On uniqueness of invariant measures for finite- and infinite-dimensional diffusions

0 references

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

0 references

Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

0 references

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

0 references

Metric measure spaces with Riemannian Ricci curvature bounded from below

0 references

New stability results for sequences of metric measure spaces with uniform Ricci bounds from below

0 references

On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces

0 references

Existence and stability for Fokker-Planck equations with log-concave reference measure

0 references

Weak and strong convergence of derivations and stability of flows with respect to MGH convergence

0 references

A new approach to the existence of invariant measures for Markovian semigroups

0 references

Stratified spaces and synthetic Ricci curvature bounds

0 references

Regularity of invariant measures: The case of non-constant diffusion part

0 references

Q4385188

0 references

ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS

0 references

Differentiability of invariant measures and of transition probabilities of singular diffusions.

0 references

Elliptic equations for measures: regularity and global bounds of densities

0 references

Fokker–Planck–Kolmogorov Equations

0 references

Regularity of invariant measures on finite and infinite dimensional spaces and applications

0 references

A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts

0 references

Elliptic equations for measures on infinite dimensional spaces and applications

0 references

Elliptic equations for invariant measures on finite and infinite dimensional manifolds

0 references

Q2759733

0 references

Existence and uniqueness of invariant measures: An approach via sectorial forms

0 references

The globalization theorem for the curvature-dimension condition

0 references

Differentiability of Lipschitz functions on metric measure spaces

0 references

On the structure of spaces with Ricci curvature bounded below. I

0 references

Q4041031

0 references

A function space large deviation principle for certain stochastic integrals

0 references

On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

0 references

DRIFT TRANSFORMATIONS OF SYMMETRIC DIFFUSIONS, AND DUALITY

0 references

Collapsing of Riemannian manifolds and eigenvalues of Laplace operator

0 references

Dirichlet forms and symmetric Markov processes.

0 references

On quotients of spaces with Ricci curvature bounded below

0 references

An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature

0 references

On the differential structure of metric measure spaces and applications

0 references

Independence on \(p\) of weak upper gradients on \(\mathsf{RCD}\) spaces

0 references

Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

0 references

Convergence in distribution of random metric measure spaces (\(\Lambda \)-coalescent measure trees)

0 references

Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

0 references

Convergence of non-symmetric forms

0 references

Existence of invariant measures for diffusion processes on a Wiener space

0 references

Exponential decay of positivity preserving semigroups on \(L^p\)

0 references

Elliptic PDEs on Compact Ricci Limit Spaces and Applications

0 references

Q3992729

0 references

Cheeger-harmonic functions in metric measure spaces revisited

0 references

Heat kernel bounds on metric measure spaces and some applications

0 references

Ricci curvature bounds for warped products

0 references

Cones over metric measure spaces and the maximal diameter theorem

0 references

Zur Umkehrbarkeit der statistischen Naturgesetze

0 references

Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry

0 references

Ricci curvature for metric-measure spaces via optimal transport

0 references

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

0 references

Global properties of invariant measures

0 references

Composite media and asymptotic Dirichlet forms

0 references

Alexandrov meets Lott--Villani--Sturm

0 references

Q4066072

0 references

Rademacher's theorem on configuration spaces and applications

0 references

Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces

0 references

Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

0 references

Existence of invariant measures of diffusions on an abstract Wiener space

0 references

Q3862204

0 references

Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations

0 references

On the geometry of metric measure spaces. I

0 references

On the geometry of metric measure spaces. II

0 references

Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality

0 references

Convergence of Brownian motions on metric measure spaces under Riemannian curvature-dimension conditions

0 references

Convergence of non-symmetric diffusion processes on RCD spaces

0 references

Optimal Transport

0 references

Ricci curvature on Alexandrov spaces and rigidity theorems

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5090315