Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows
From MaRDI portal
Publication:2216472
DOI10.1007/s00039-020-00554-0zbMath1475.53047arXiv1910.13712OpenAlexW3109028567MaRDI QIDQ2216472
Publication date: 16 December 2020
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13712
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential geometric aspects of statistical manifolds and information geometry (53B12) Information geometry (statistical aspects) (62B11)
Related Items (10)
Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds ⋮ Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ Heat kernel bounds and Ricci curvature for Lipschitz manifolds ⋮ A synthetic null energy condition ⋮ Mini-workshop: Variable curvature bounds, analysis and topology on Dirichlet spaces. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ Rectifiability of the reduced boundary for sets of finite perimeter over \(\operatorname{RCD} ( K , N )\) spaces ⋮ Stability of metric measure spaces with integral Ricci curvature bounds ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups ⋮ Curvature-dimension conditions under time change
Cites Work
- Unnamed Item
- Unnamed Item
- On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces
- Independence on \(p\) of weak upper gradients on \(\mathsf{RCD}\) spaces
- Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below
- Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
- Dirichlet forms and symmetric Markov processes.
- Obata's rigidity theorem for metric measure spaces
- Multiplicative functional for the heat equation on manifolds with boundary.
- Girsanov and Feynman-Kac type transformations for symmetric Markov processes
- Ricci tensor on \(\mathrm{RCD}^\ast(K,N)\) spaces
- Neumann heat flow and gradient flow for the entropy on non-convex domains
- Super-Ricci flows for metric measure spaces
- Equivalent definitions of \(BV\) space and of total variation on metric measure spaces
- Cones over metric measure spaces and the maximal diameter theorem
- Ricci curvature for metric-measure spaces via optimal transport
- Structure theory of metric measure spaces with lower Ricci curvature bounds
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Metric measure spaces with variable Ricci bounds and couplings of Brownian motions
- Analysis for Diffusion Processes on Riemannian Manifolds
- Heat Flow on Time‐Dependent Metric Measure Spaces and Super‐Ricci Flows
- Gradient flows for semiconvex functions on metric measure spaces – existence, uniqueness, and Lipschitz continuity
- Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below
- Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows
- Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
This page was built for publication: Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows