Free boundary regularity in the parabolic fractional obstacle problem, pdf. Done. Quite the same Wikipedia. Try again later. [11], In addition, he has given several contributions to the Di Perna–Lions' theory, applying it both to the understanding of semiclassical limits of the Schrödinger equation with very rough potentials,[12] and to study the Lagrangian structure of weak solutions to the Vlasov–Poisson equation. Rank Academic H-Index Citations Nation Area MacroArea Italian Institution Notes; 1: Paolo Toth: 77: 28917: Italy: mathematics: Mathematics: Alma Mater Studiorum - Università di Bologna New articles related to this author's research . Mathematik … [13] More recently, in collaboration with Alice Guionnet, he introduced and developed new transportation techniques in the topic of random matrices to prove universality results in several-matrix models. Amongst the results he obtained in this direction, there stand out an important higher integrability property of the second derivatives of solutions to the Monge–Ampère equation[7] and a partial regularity result for Monge–Ampère type equations,[8] both proved together with Guido de Philippis. Math. Tenerife. 224 (2020), 187-252. [3] He was an invited speaker at the International Congress of Mathematicians 2014. In this paper we provide a complete analogy between the Cauchy–Lipschitz and the DiPerna–Lions theories for ODE’s, by developing a local version of the DiPerna–Lions theory. Add co-authors Co-authors. In this paper we continue the investigation of the regularity of optimal transport maps on Riemannian manifolds, in relation with the geometric conditions of Ma-Trudinger-Wang and the geometry of the cut locus. New citations to this author. Alessio Figalli’s life has changed since he was awarded the Fields Medal one year ago. He was awarded the Prix and Cours Peccot [] in 2012, the EMS Prize in 2012, the Stampacchia Medal in 2015, the Feltrinelli Prize in 2017 and the Fields Medal in 2018. [15], invited speaker at the International Congress of Mathematicians, French National Centre for Scientific Research, SISTEMA ETD - Archivio digitale delle tesi discusse presso l'Università di Pisa, A Traveler Who Finds Stability in the Natural World, August 1, 2018, "Universality in several-matrix models via approximate transport maps", https://en.wikipedia.org/w/index.php?title=Alessio_Figalli&oldid=994393556, Pages containing links to subscription-only content, Wikipedia articles with BIBSYS identifiers, Wikipedia articles with CINII identifiers, Wikipedia articles with SUDOC identifiers, Wikipedia articles with WORLDCATID identifiers, Creative Commons Attribution-ShareAlike License, This page was last edited on 15 December 2020, at 14:07. Alessio Figalli (2016) Alessio Figalli (* 2. On flows associated to Sobolev vector fields in Wiener spaces: an approach à la DiPerna–Lions, Continuity of optimal transport maps and convexity of injectivity domains on small deformations of , Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller–Segel equation. Mathematics in Engineering, 2020, 2(4): 584-597. doi: 10.3934/mine.2020026. Invent. That's it. University of La Laguna. [9], Then, in a joint work with Eric Carlen, he addressed the stability analysis of some Gagliardo–Nirenberg and logarithmic Hardy–Littlewood–Sobolev inequalities to obtain a quantitative rate of convergence for the critical mass Keller–Segel equation. Since 2016, he is a chaired professor at ETH Zürich. Alessio Figalli’s education is made up of different strands, and the the roles of French and Italian schools are prominent, although these notions are becoming increasingly difficult to identify due to the soaring number of international exchanges. New citations to this author. Email to a friend; PDF view. Citation. Wenn die Wolken ihre Form ändern, bewegen sich die Wol-kenpartikel in einer optimalen, energetisch günstigen Weise von einem anfänglichen Zustand in einen neuen. Xavier Cabré, Alessio Figalli, Xavier Ros-Oton, Joaquim Serra, Acta Math. A rigorous derivation from the kinetic Cucker–Smale model to the pressureless Euler system with nonlocal alignment Email address for updates. New articles related to this author's research. PDE; Volume 12, Number 3 (2019), 843-866. You have just received the most prestigious award in the field of mathematics, how will this impact your future work? … [5] He has won the 2015 edition of the Stampacchia Medal, and the 2017 edition of the Feltrinelli Prize for mathematics. Email address for updates. The ones marked * may be different from the article in the profile. Er ist Träger der Fields-Medaille. Alessio Figalli (Italian: [aˈlesːjo fiˈɡalːi]; born 2 April 1984) is an Italian mathematician working primarily on calculus of variations and partial differential equations. Full-text: Open access. PDF Restore Delete Forever. Xavier Fernández-Real, Alessio Figalli. Figalli received his master's degree from the University of Pisa[4] in 2006 (as a student of the Scuola Normale Superiore di Pisa), and earned his doctorate in 2007 under the supervision of Luigi Ambrosio at the Scuola Normale Superiore di Pisa and Cédric Villani at the École Normale Supérieure de Lyon. He used optimal transport techniques to get improved versions of the anisotropic isoperimetric inequality, and obtained several other important results on the stability of functional and geometric inequalities. Alessio Figalli (Italian: [aˈlesːjo fiˈɡalːi]; born 2 April 1984) is an Italian mathematician working primarily on calculus of variations and partial differential equations.. Email address for updates. PDF File (225 KB) Abstract; Article info and citation; First page; References; Abstract. When is multidimensional screening a convex program? In 2019 he received the Doctorate Honoris Causa from the Polytechnic University of Catalonia too. PDF Restore Delete Forever. New articles by this author. ETH Zurich Prof. Dr. Alessio Figalli FIM Director Department of Mathematics HG G 45.2 Rämistrasse 101 8092 Zurich Switzerland mailto:alessio.figalli@math.ethz.ch Assistant name:Linda Koller tel:+41 44 632 3451 mailto:linda.koller@math.ethz.ch Academic purposes. New articles related to this author's research . Amongst his several recognitions, Figalli has won an EMS Prize in 2012, he has been awarded the Peccot-Vimont Prize 2011 and Cours Peccot 2012 of the Collège de France and has been appointed Nachdiplom Lecturer in 2014 at ETH Zürich. The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. To install click the Add extension button. Then he became full professor in 2011, and R. L. Moore Chair holder in 2013. Upload PDF. The ones marked * may be different from the article in the profile. In a paper with Gonzalo Contreras and Ludovic Rifford, he proved generic hyperbolicity of Aubry sets on compact surfaces. Math. In 2018 he won the Fields Medal "for his contributions to the theory of optimal transport, and its application to partial differential equations, metric geometry, and probability". Begoña Barrios, Alessio Figalli, Xavier Ros-Oton, Comm. Done. Alessio Figalli (Italian: [aˈlesːjo fiˈɡalːi]; born 2 April 1984) is an Italian mathematician working primarily on calculus of variations and partial differential equations.. 158, 227–260 (2004) MathSciNet CrossRef Google Scholar. Alessio Figalli (* 2. dubna 1984 Řím) je italský matematik.Zabývá se především variačním počtem a parciálními diferenciálními rovnicemi.Roku 2018 obdržel Fieldsovu medaili.. Vystudoval matematiku na univerzitě v Pise, absolvoval roku 2006.Doktorát rok poté získal na Scuola Normale Superiore v Pise a na Ecole Normale Supérieure ve francouzském Lyonu. Xavier Fernández-Real; Alessio Figalli; Related pages. Just better. Would you like Wikipedia to always look as professional and up-to-date? L. Ambrosio, Transport equation and Cauchy problem for BV vector fields. This "Cited by" count includes citations to the following articles in Scholar. He was awarded the Prix and Cours Peccot in 2012, the EMS Prize in 2012, the Stampacchia Medal in 2015, the Feltrinelli Prize in 2017 and the Fields Medal in 2018. Google Scholar provides a simple way to broadly search for scholarly literature. Alessio Figalli konnte mathematisch nachweisen, dass sich die ab-rupt auftretenden Formationsänderungen von Wolken in Grosswetterfronten mit den Gleichungen des optimalen Transports beschreiben lassen. Alessio Figalli ist ein italienischer Mathematiker, der sich mit partiellen Differentialgleichungen beschäftigt. Pure Appl. Alessio Figalli, Ludovic Rifford, and Cédric Villani. Er ist Träger der Fields-Medaille. Alessio Figalli is an Italian mathematician working primarily on calculus of variations and partial differential equations. How to transfigure the Wikipedia. On the obstacle problem for the 1D wave equation[J]. Follow this author. Anal. Alessio Figalli, Professor für Mathematik an der ETH Zürich, hat für seine her-ausragenden Leistungen in der mathematischen Forschung heute die Fields-Medaille erhalten. Search across a wide variety of disciplines and sources: articles, theses, books, abstracts and court opinions. Alessio Figalli is supported by NSF Grant DMS-1262411. Search the world's information, including webpages, images, videos and more. In 2009 he moved to the University of Texas at Austin as associate professor. This "Cited by" count includes citations to the following articles in Scholar. Ein Nachmittag mit Alessio Figalli (Video: Smovie / D-MATH) Sie kamen aus allen Landesteilen der Schweiz und auch aus Norditalien und füllten das Auditorium Maximum im Hauptgebäude am Donnerstag bis auf den letzten Platz: 400 Mittelschülerinnen und Mittelschüler waren Alessio Figallis Einladung gefolgt und lauschten seinen Ausführungen zur Mathematik des optimalen Transports. [6], Figalli has worked in the theory of optimal transport, with particular emphasis on the regularity theory of optimal transport maps and its connections to Monge–Ampère equations. He was awarded the Prix and Cours Peccot [] in 2012, the EMS Prize in 2012, the Stampacchia Medal in 2015, the Feltrinelli Prize in 2017 and the Fields Medal in 2018. The following articles are merged in Scholar. Add co-authors Co-authors. He was awarded the Prix and Cours Peccot [fr] in 2012, the EMS Prize in 2012,[1] the Stampacchia Medal in 2015,[2] the Feltrinelli Prize in 2017 and the Fields Medal in 2018. on Google Scholar; on PubMed; Tools. Spain, Emeritus Professor of Mathematics, Universidad Autonoma de Madrid, Spain, Dipartimento di Matematica "Federigo Enriques", Università di Milano, Professor of Applied Mathematics, Université Claude Bernard Lyon 1, A mass transportation approach to quantitative isoperimetric inequalities, Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations, Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients, The Monge–Ampère equation and its link to optimal transportation, Isoperimetry and stability properties of balls with respect to nonlocal energies, Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces, The Monge–Ampère equation and its applications, Optimal transportation on non-compact manifolds, Regularity of solutions to the parabolic fractional obstacle problem, Nonlocal tug‐of‐war and the infinity fractional Laplacian, Mass transportation on sub-Riemannian manifolds, A refined Brunn–Minkowski inequality for convex sets. [10] He also worked on Hamilton–Jacobi equations and their connections to weak Kolmogorov–Arnold–Moser theory. L. Ambrosio, M. Colombo, G. De Philippis, A. Figalli, Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case. Obstacle problems for integro-differential operators: regularity of solutions and free boundaries, pdf. New articles by this author. The ones marked * may be different from the article in the profile. In this context, France remains a highly attractive international point of reference in mathematics. Their, This "Cited by" count includes citations to the following articles in Scholar. Alessio Figalli, recent winner of a Fields Medal for mathematics, discusses his career, research topics and the support of the ERC. Alessio Figalli; On Google Scholar. [14] Also, together with Joaquim Serra, he proved the De Giorgi's conjecture for boundary reaction terms in dimension ≤ 5, and he improved the classical results by Luis Caffarelli on the structure of singular points in the obstacle problem. Alessio Figalli. Done. April 1984 in Rom) ist ein italienischer Mathematiker, der sich mit partiellen Differentialgleichungen beschäftigt. Upload PDF. PDF Restore Delete Forever. Upload PDF. 2. 71 (2018), 2129-2159. In 2007 he was appointed Chargé de recherche at the French National Centre for Scientific Research, in 2008 he went to the École polytechnique as Professeur Hadamard. References. In 2016 he was awarded a European Research Council (ERC) grant, and in 2018 he received the Doctorate Honoris Causa from the Université Côte d'Azur. This "Cited by" count includes citations to the following articles in Scholar. New citations to this author. The ones marked, Inventiones mathematicae 182 (1), 167-211, JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev, Duke Mathematical Journal 156 (2), 229-271, Journal of Functional Analysis 254 (1), 109-153, Bulletin of the American Mathematical Society 51 (4), 527-580, A Figalli, N Fusco, F Maggi, V Millot, M Morini, Communications in Mathematical Physics 336 (1), 441-507, Advances in Mathematics 230 (4-6), 1859-1894, Israel Journal of Mathematics 175 (1), 1-59, Archive for rational mechanics and analysis 195 (2), 533-560, Communications on Pure and Applied Mathematics 65 (3), 337-380, Geometric and functional analysis 20 (1), 124-159, Annales de l'Institut Henri Poincare (C) Non Linear Analysis 26 (6), 2511-2519, Journal of Economic Theory 146 (2), 454-478, Journal of Functional Analysis 256 (1), 179-214, Communications in mathematical physics 338 (2), 589-619, Communications on Pure and Applied Mathematics: A Journal Issued by the …, Duke Mathematical Journal 162 (3), 579-625, New articles related to this author's research, Professor of Mathematics, Université Nice Sophia Antipolis, Department of Mathematics, University of Texas at Austin, Mathematics, University of British Columbia, ICREA Research Professor, Universitat de Barcelona, Professor of Mathematical Sciences, Carnegie Mellon University, Professor of Mathematics, Loyola Marymount University, "Ramón y Cajal" researcher. Follow this author. This is not an easy question because I am not sure what will happen. Google has many special features to help you find exactly what you're looking for. The system can't perform the operation now. Follow this author. Top × Close Export File. New articles by this author. 1. He was an invited speaker at the International Congress of Mathematicians 2014. You could also do it yourself at any point in time. Add co-authors Co-authors. For all academic purposes, invitations to events, requests for speeches or other public appearances, please contact Linda Koller. In particular, together with Francesco Maggi and Aldo Pratelli, he proved a sharp quantitative version of the anisotropic isoperimetric inequality.

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