Metric measure spaces and Ricci curvature — analytic, geometric, and probabilistic challenges | RicciBounds | Project | Results | H2020 | CORDIS

From Harnack inequality to heat kernel estimates on metric measure spaces and applications

Autores: Luca Tamanini
Publicado en: Arxiv Math, 2019
Editor: AMS

THE STRONG BRUNN–MINKOWSKI INEQUALITY AND ITS EQUIVALENCE WITH THE CD CONDITION

Autores: MATTIA MAGNABOSCO, LORENZO PORTINALE, TOMMASO ROSSI
Publicado en: Arxiv Math, 2022
Editor: AMS

FIRST-ORDER HEAT CONTENT ASYMPTOTICS ON RCD(K,N) SPACES

Autores: EMANUELE CAPUTO, TOMMASO ROSSI
Publicado en: Arxiv Math, 2022
Editor: AMS

QUANTUM OPTIMAL TRANSPORT FOR AF-C-ALGEBRAS

Autores: David Hornshaw
Publicado en: 2019
Editor: Arxiv Math

Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps

Autores: Hugo Lavenant, Léonard Monsaingeon, Luca Tamanini, Dmitry Vorotnikov
Publicado en: Arxiv Math, 2021
Editor: AMS

L2-Wasserstein distances of tracial W*-algebras and their disintegration problem

Autores: David Hornshaw
Publicado en: 2018
Editor: Arxiv Math

Stable limit theorems on the Poisson space

Autores: Ronan Herry
Publicado en: Arxiv Math, 2019
Editor: AMS

Exponential Ergodicity for Time-Periodic McKean-Vlasov SDEs

Autores: Panpan Ren, Karl-Theodor Sturm, Feng-Yu Wang,
Publicado en: Arxiv Math, 2021
Editor: AMS

ON GLUING ALEXANDROV SPACES WITH LOWER RICCI CURVATURE BOUNDS

Autores: VITALI KAPOVITCH, CHRISTIAN KETTERER, AND KARL-THEODOR STURM
Publicado en: Arxiv of Mathematics, 2020
Editor: AMS
DOI: 10.48550/arxiv.2003.06242

THE RELATIVE HEAT CONTENT FOR SUBMANIFOLDS IN SUB-RIEMANNIAN GEOMETRY

Autores: TOMMASO ROSSI
Publicado en: Arxiv Math, 2022
Editor: AMS

THE BRUNN–MINKOWSKI INEQUALITY IMPLIES THE CD CONDITION IN WEIGHTED RIEMANNIAN MANIFOLDS

Autores: MATTIA MAGNABOSCO, LORENZO PORTINALE, TOMMASO ROSSI
Publicado en: Arixv Math, 2022
Editor: AMS

Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter

Autores: Mattia Magnabosco, Chiara Rigoni, Gerardo Sosa
Publicado en: 2021
Editor: Arxiv Math

A note about the strong maximum principle on RCD spaces

Autores: Nicola Gigli, Chiara Rigoni
Publicado en: 2017
Editor: Arxiv Math

Concentration of 1-Lipschitz functions on manifolds with boundary with Dirichlet boundary condition

Autores: Yohei Sakurai
Publicado en: 2018
Editor: Arxiv Math

Recognizing the flat torus among RCD∗(0,N) spaces via the study of the first cohomology group

Autores: Nicola Gigli, Chiara Rigoni
Publicado en: 2017
Editor: Arxiv Math

The isometry group of an ∗-space is Lie

Autores: Gerardo Sosa
Publicado en: 2017
Editor: Arxiv Math

One dimensional weighted Ricci curvature and displacement convexity of entropies

Autores: Yohei Sakurai
Publicado en: 2018
Editor: Arxiv Math

Ricci tensor on smooth metric measure space with boundary

Autores: Bang-Xian Han
Publicado en: 2017
Editor: Arxiv Math

Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension

Autores: Schiavo, Lorenzo Dello; Herry, Ronan; Kopfer, Eva; Sturm, Karl-Theodor
Publicado en: Arxiv of Mathematics, Edición 1, 2021
Editor: AMS
DOI: 10.48550/arxiv.2105.13925

Viscosity solutions of Hamilton-Jacobi equation in RCD(K,∞) spaces and applications to large deviations

Autores: Nicola Gigli, Luca Tamanini, Dario Trevisan
Publicado en: Arxiv Math, 2022
Editor: AMS

Partial derivatives in the nonsmooth setting

Autores: Nicola Gigli, Chiara Rigoni
Publicado en: 2020
Editor: Arxiv Math

ALMOST-RIEMANNIAN MANIFOLDS DO NOT SATISFY THE CURVATURE-DIMENSION CONDITION

Autores: MATTIA MAGNABOSCO, TOMMASO ROSSI
Publicado en: Arxiv Math, 2022
Editor: AMS

A Discovery Tour in Random Riemannian Geometry

Autores: Lorenzo Dello Schiavo, Eva Kopfer, Karl-Theodor Sturm
Publicado en: Arxiv Math, 2020
Editor: AMS

Heat kernel bounds and Ricci curvature for Lipschitz manifolds

Autores: Mathias Braun, Chiara Rigoni
Publicado en: Arxiv Math, 2021
Editor: AMS

Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel

Autores: Mathias Braun
Publicado en: Journal of Functional Analysis, 2022, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2022.109599

Functional inequalities for the heat flow on time-dependent metric measure spaces

Autores: Eva Kopfer, Karl-Theodor Sturm
Publicado en: J. Lond. Math. Soc. (2), Edición 104, no. 2, 2021, Página(s) 926–955, ISSN 0024-6107
Editor: Oxford University Press
DOI: 10.1112/jlms.12452

Transport inequalities for random point measures

Autores: Nathael Gozlan; Ronan Herry; Giovanni Peccati
Publicado en: Journal of Functional Analysis, Edición 1, 2021, Página(s) Volume 281, Edición 9, 1 November 2021, 109 - 141, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2021.109141

Sobolev spaces on warped products

Autores: Nicola Gigli, Bang-Xian Han
Publicado en: Journal of Functional Analysis, Edición 275/8, 2018, Página(s) 2059-2095, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2018.03.021

Order preservation and positive correlation for nonlinearFokker-Planck equation

Autores: Panpan Ren
Publicado en: Electron. Commun. Probab., Edición 27, 2022, Página(s) 1–12., ISSN 1083-589X
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-ecp466

Singular McKean–Vlasov SDEs:Well-posedness, regularities andWang’s Harnack inequality

Autores: Panpan Ren
Publicado en: Stochastic Processes and their Applications, Edición 156, 2023, Página(s) 291–311, ISSN 0304-4149
Editor: Elsevier BV
DOI: 10.1016/j.spa.2022.11.010

Ricci Tensor on $$\mathrm{RCD}^*(K, N)$$ RCD ∗ (

Autores: Bang-Xian Han
Publicado en: The Journal of Geometric Analysis, Edición 28/2, 2018, Página(s) 1295-1314, ISSN 1050-6926
Editor: American Mathematical Society
DOI: 10.1007/s12220-017-9863-7

Second order differentiation formula on RCD$(K,N)$ spaces

Autores: Nicola Gigli, Luca Tamanini
Publicado en: Rendiconti Lincei - Matematica e Applicazioni, Edición 29/2, 2018, Página(s) 377-386, ISSN 1120-6330
Editor: Accademia Nazionale dei Lincei
DOI: 10.4171/RLM/811

Neumann heat flow and gradient flow for the entropy on non-convex domains

Autores: Janna Lierl, Karl-Theodor Sturm
Publicado en: Calculus of Variations and Partial Differential Equations, Edición 57/1, 2018, ISSN 0944-2669
Editor: Springer Verlag
DOI: 10.1007/s00526-017-1292-8

Heat Flow on Time-Dependent Metric Measure Spaces and Super-Ricci Flows

Autores: Eva Kopfer, Karl-Theodor Sturm
Publicado en: Communications on Pure and Applied Mathematics, Edición 71/12, 2018, Página(s) 2500-2608, ISSN 0010-3640
Editor: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21766

Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes

Autores: Karl-Theodor Sturm
Publicado en: Journal of Functional Analysis, Edición 275/4, 2018, Página(s) 793-829, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2018.03.022

Gradient flows for semiconvex functions on metric measure spaces – existence, uniqueness, and Lipschitz continuity

Autores: Karl-Theodor Sturm
Publicado en: Proceedings of the American Mathematical Society, Edición 146/9, 2018, Página(s) 3985-3994, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/14061

Heat Flow with Dirichlet Boundary Conditions via Optimal Transport and Gluing of Metric Measure Spaces

Autores: Angelo Profeta, Karl-Theodor Sturm
Publicado en: Calc. Var., Edición 59, 117 (2020), 2020, ISSN 0944-2669
Editor: Springer Verlag
DOI: 10.1007/s00526-020-01774-w

Rigidity of cones with bounded Ricci curvature

Autores: Matthias Erbar, Karl-Theodor Sturm
Publicado en: Journal European Mathematical Society, 2019, ISSN 1435-9855
Editor: European Mathematical Society Publishing House

Remarks about Synthetic Upper Ricci Bounds for Metric Measure Spaces

Autores: Karl-Theodor Sturm
Publicado en: Tohoku Math. J. (2), Edición 73(4): 539-564 (2021), 2021, ISSN 0040-8735
Editor: Tohoku University
DOI: 10.2748/tmj.20200717

Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows.

Autores: Karl-Theodor Sturm
Publicado en: Geometric and Functional Analysis, Edición 30, 2020, Página(s) 1648–1711, ISSN 1420-8970
Editor: Springer
DOI: 10.1007/s00039-020-00554-0

Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds

Autores: Erbar, Matthias; Rigoni, Chiara; Sturm, Karl-Theodor; Tamanini, Luca
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición Volume 161, May 2022, Pages 1-69, 2020, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2022.02.002

Lie brackets of nonsmooth vector fields and commutation of their flows

Autores: Chiara Rigoni; Eugene Stepanov; Dario Trevisan
Publicado en: Journal of the London Mathematical Society, Edición 1, 2022, Página(s) 1232-1256, ISSN 0024-6107
Editor: Oxford University Press
DOI: 10.1112/jlms.12597

Optimal transport, gradient estimates, and pathwise brownian coupling on spaces with variable ricci bounds

Autores: Braun, Mathias; Habermann, Karen; Sturm, Karl-Theodor
Publicado en: J. Math. Pures Appl., Edición 147 (9(, 2021, Página(s) 60–97., ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2021.01.002

Curvature-dimension conditions under time change

Autores: Bang-Xian Han; Karl-Theodor Sturm
Publicado en: Annali di Matematica Pura ed Applicata (1923 -) volume 201, Edición 1, 2022, Página(s) pages 801–822, ISSN 0373-3114
Editor: Nicola Zanichelli
DOI: 10.1007/s10231-021-01138-x

Heat flow regularity, Bismut's derivative formula, and pathwise Brownian couplings on Riemannian manifolds with Dynkin bounded Ricci curvature

Autores: Mathias Braun, and Batu Güneysu
Publicado en: Electronic Journal of Probability, 2021, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp703

Super-Ricci flows for metric measure spaces

Autores: Karl-Theodor Sturm
Publicado en: J. Funct. Anal., Edición 275, no. 12,, 2018, Página(s) 3504–3569, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2018.07.014

Random Riemannian geometry in 4 dimensions. Dirichlet forms and related topics,

Autores: Karl-Theodor Sturm
Publicado en: Springer Proc. Math. Stat., Edición 394, 2022, Página(s) 493–510,, ISSN 2194-1009
Editor: Springer

Metric measure spaces and Ricci curvature — analytic, geometric, and probabilistic challenges

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