2024 Otto villani

Otto villani

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August undefined, 2024

WebThe Otto-Villani theorem [13] indicates that, on a Riemannian manifold, the validity of the log Sobolev inequality implies the Talagrand transportation cost inequality (preserving … WebF Otto, C Villani. Journal of Functional Analysis 173 (2), 361-400, 2000. 1017: 2000: Hypocoercivity. C Villani. arXiv preprint math/0609050, 2006. 640: 2006: On landau …

Optimal Transport: Old and New SpringerLink

WebStarting from the pioneering paper of Otto-Villani \[73], the link between Optimal Transport and Ricci curvature in smooth Riemannian geometry has been deeply studied \[35, 86]. Among the various functional and analytic applications, the point of view of Optimal Transport has played a crucial role in the Lott–Sturm–Villani \[69, 84, 85, 87] formulation … WebNov 30, 2011 · We provide yet another proof of the Otto-Villani theoremfrom the log Sobolev inequality to the Talagrand transportation costinequality valid in arbitrary metric … management group id terraform

An entropic interpolation proof of the HWI inequality

http://www.janmaas.org/papers/Ricci.pdf WebMatteo VILLANI. Team Italy. Athletics. Games Participations 1. First Olympic Games Beijing 2008. Year of Birth 1982. WebThe Mathematical Sciences Research Institute (MSRI), founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, … management griffin 9th edition pdf

FROM LOG SOBOLEV TO TALAGRAND: A QUICK …

A Link Between the Log-Sobolev Inequality and Lyapunov Condition …

Web1. Introduction. The Otto-Villani theorem [13] indicates that, on a Riemannian manifold, the validity of the log Sobolev inequality implies the Talagrand trans-portation cost inequality … WebConsequently, our approach is closer to the Otto-Villani heuristics, presented in the first part of the article [23], than the original rigorous pr... View An entropic interpolation proof … management group diagnostic settingsWebF. Otto Institut fu˘ r Angewandte Mathematik, Wegelstr. 6, 53115 Bonn, Germany E-mail: otto riemann.iam.uni-bonn.de and C. Villani DMA, E cole Normale Supe rieure, 45 rue d’Ulm, 75230 Paris Cedex 05, France E-mail: villani dma.ens.fr Communicated by Paul Malliavin Received July 18, 1999; revised October 25, 1999; accepted November 27, 1999 management governance and ethics

"WebOct 2, 2013 · We present a notion of Ricci curvature that applies to Markov chains on discrete spaces. This notion is inspired by the seminal work of Lott, Sturm and Villani, who developed a synthetic notion of Ricci curvature for geodesic spaces based on convexity of the entropy along 2-Wasserstein geodesics. In the discrete setting the role of the 2 … " - Otto villani

Otto villani

Matteo VILLANI Biography, Olympic Medals, Records and Age

WebFeb 1, 2016 · Theory Relat. Fields 148(1–2), 285–304 2010) through a combination of detective L 2 transportation-information inequality W 2 I and the HWI inequality of Otto-Villani. Next, we assert a converse implication that the Lyapunov condition can be derived from LSI, which means their equivalence in the above setting. Webof convex functionals. Specialising our results to Boltzmann’s entropy we recover Otto-Villani’s theorem [31] stating the equivalence between the logarithmic Sobolev and Talagrand inequalities. We also prove a new equivalence between Gagliardo-Sobolev inequality and a nonlinear Talagrand Date: October 9, 2024. Key words and phrases.

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WebJul 25, 2024 · We deduce those results following an approach developed by Grunewald, Otto, Villani and Westdickenberg. Because in our setting the associated coarse-graining operator is non-local, the arguments are much more subtle and need additional ingredients like the Brascamp-Lieb inequality and a multivariate local central-limit theorem. WebApr 2, 2024 · We will revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold, due to a series of papers by Otto, Villani, Lott, Ambrosio, Gigli, Savaré and so on. Subjects: Mathematical Physics (math-ph); Probability (math.PR) Cite as: arXiv:2104.00910 [math-ph] (or arXiv:2104.00910v1 [math-ph] for this version)

WebFeb 1, 2024 · The first part of Otto and Villani’s article is dedicated to a heuristic proof based on Otto calculus, see [22], [25], where one formally equips the set of probability …

WebFeb 15, 2005 · La méthode permet, de la même façon, d'étendre au cadre libre le théorème d'Otto–Villani assurant que l'inégalité de Sobolev logarithmique entraîne l'inégalité de transport. Pour citer cet article : M. Ledoux, C. R. Acad. Sci. Paris, Ser. I 340 (2005). C. R. Acad. Sci. Paris, Ser. WebOur approach consists in making rigorous the Otto–Villani heuristics in Otto and Villani (2000) taking advantage of the entropic interpolations, which are regular both in space and time, rather than the displacement ones. The HWI inequality is an “interpolation”inequality between the EntropyH, the Fisher informationI and the Wasserstein distanceW.

WebThe article builds on several recent advances in the Monge- Kantorovich theory of mass transport which have, among other things, led to new and quite natural proofs for a wide range of geometric inequalities such as the ones formulated by Brunn-Minkowski, Sobolev, Gagliardo- Nirenberg, Beckner, Gross, Talagrand, Otto-Villani and their extensions by …

WebHe received his doctorate at Paris-Dauphine University in 1998, under the supervision of Pierre-Louis Lions, and became professor at the École normale supérieure de Lyon … management health and safety at work act 1974WebAbstract: We will revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold, due to a series of papers by Otto, Villani, Lott, Ambrosio, Gigli, Savar\'e and so on. management healthcare internship mcallenHe studied mathematics at the University of Bonn, finishing his PhD thesis in 1993 under the supervision of Stephan Luckhaus. After postdoctoral studies at the Courant Institute of Mathematical Sciences of New York University and at Carnegie Mellon University, in 1997 he became a professor at the University of … See more Felix Otto (born 19 May 1966) is a German mathematician. See more In 2006, he received the Gottfried Wilhelm Leibniz Prize of the Deutsche Forschungsgemeinschaft, which is the highest honour … See more management healthcare positionsWebOff The Wagon Brewery & Kitchen. Dec 2014 - Jan 20246 years 2 months. Venice, Florida. management have or hasWebVisualizza il profilo di Otto Villani su LinkedIn, la più grande comunità professionale al mondo. Otto ha indicato 5 esperienze lavorative sul suo profilo. Guarda il profilo … management has carefully evaluatedWebNov 5, 2024 · Otto F, Villani C. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. J Funct Anal, 2000, 173: 361–400 Article MathSciNet … managementhandbuch iso 14001WebOtto, Otto-Villani, McCann, J.L.-Villani, Sturm Optimal transport in Ricci ﬂow J.L., McCann-Topping, Topping. Optimal Transport and Perelman’s Reduced Volume … management handbuch iso 9001:2015