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Apprendre le français avec les films – Amour turbulences (sous-titre fr)
Apprendre le français avec les films – Amour turbulences (sous-titre fr)
Images des mathématiques
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- Summary of article content: Articles about Images des mathématiques Professeur à l’Université Pierre et Marie Curie. Page web : http://www.lpma-paris.fr/pageperso/dujardin/. Tous ses articles (4) : Rapématiques. …
- Most searched keywords: Whether you are looking for Images des mathématiques Professeur à l’Université Pierre et Marie Curie. Page web : http://www.lpma-paris.fr/pageperso/dujardin/. Tous ses articles (4) : Rapématiques. La recherche mathématique en mots et en images
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Romain Dujardin
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- Summary of article content: Articles about Romain Dujardin Romain Dujardin. Mes coordonnées. Adresse: LPSM – Sorbonne Université … romain.dujardin “arobase” upmc.fr. Professeur à Sorbonne Université. …
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Romain Dujardin – Google Scholar
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- Summary of article content: Articles about Romain Dujardin – Google Scholar Professor, Université Pierre et Marie Curie. Verified email at upmc.fr. Holomorphic dynamics and related topics. ArticlesCited byPublic access … …
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www math dujardin fr
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- Summary of article content: Articles about www math dujardin fr Since September 2009, I am a junior research scientist at Inria. I am also a member of the Paul Painlevé mathematics department of the Université de Lille. From … …
- Most searched keywords: Whether you are looking for www math dujardin fr Since September 2009, I am a junior research scientist at Inria. I am also a member of the Paul Painlevé mathematics department of the Université de Lille. From …
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Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics – Google Sách
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- Most searched keywords: Whether you are looking for Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics – Google Sách Updating The purpose of these lecture notes is to provide an introduction to the theory of complex Monge–Ampère operators (definition, regularity issues, geometric properties of solutions, approximation) on compact Kähler manifolds (with or without boundary).These operators are of central use in several fundamental problems of complex differential geometry (Kähler–Einstein equation, uniqueness of constant scalar curvature metrics), complex analysis and dynamics. The topics covered include, the Dirichlet problem (after Bedford–Taylor), Monge–Ampère foliations and laminated currents, polynomial hulls and Perron envelopes with no analytic structure, a self-contained presentation of Krylov regularity results, a modernized proof of the Calabi–Yau theorem (after Yau and Kolodziej), an introduction to infinite dimensional riemannian geometry, geometric structures on spaces of Kähler metrics (after Mabuchi, Semmes and Donaldson), generalizations of the regularity theory of Caffarelli–Kohn–Nirenberg–Spruck (after Guan, Chen and Blocki) and Bergman approximation of geodesics (after Phong–Sturm and Berndtsson).Each chapter can be read independently and is based on a series of lectures by R. Berman, Z. Blocki, S. Boucksom, F. Delarue, R. Dujardin, B. Kolev and A. Zeriahi, delivered to non-experts. The book is thus addressed to any mathematician with some interest in one of the following fields, complex differential geometry, complex analysis, complex dynamics, fully non-linear PDE’s and stochastic analysis.
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R. Dujardin – Some problems of arithmetic origin in complex dynamics and geometry (part1) – Archive ouverte HAL
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- Summary of article content: Articles about R. Dujardin – Some problems of arithmetic origin in complex dynamics and geometry (part1) – Archive ouverte HAL https://hal.archives-ouvertes.fr/medihal-01716153 … Romain Dujardin 1 Jérémy Magnien 2. Détails … Mathématiques [math]. en fr. …
- Most searched keywords: Whether you are looking for R. Dujardin – Some problems of arithmetic origin in complex dynamics and geometry (part1) – Archive ouverte HAL https://hal.archives-ouvertes.fr/medihal-01716153 … Romain Dujardin 1 Jérémy Magnien 2. Détails … Mathématiques [math]. en fr. Some themes inspired from number theory have been playing an important role in holomorphic and algebraic dynamics (iteration of rational mappings) in the past ten years. In these lectures I would like to present a few recent results in this direction. This should include: the dynamical Manin-Mumford problem, in particular in the case of product rational maps (P(x),Q(y)) (after Ghioca, Nguyen, and Ye) the “unlikely intersection” problem (after Baker and DeMarco, and also Favre and Gauthier).
A key technical tool in these results is the equidistribution theory of points of small height. If time permits, we’ll also discuss the related problem of the equidistribution of roots of random polynomialsArakelov Geometry and diophantine applications ; complex dynamics ; arithmetic origin ; geometryeem2017 ; Géométrie d’Arakelov et applications diophantiennes ; Grenoble - Table of Contents:
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Frontiers in Complex Dynamics: In Celebration of John Milnor’s 80th Birthday … – Araceli Bonifant, Misha Lyubich, Scott Sutherland – Google Sách
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- Most searched keywords: Whether you are looking for Frontiers in Complex Dynamics: In Celebration of John Milnor’s 80th Birthday … – Araceli Bonifant, Misha Lyubich, Scott Sutherland – Google Sách Updating John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor’s work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.
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Complex Dynamics: Families and Friends – Google Sách
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- Most searched keywords: Whether you are looking for Complex Dynamics: Families and Friends – Google Sách Updating Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston. Some of the chapters, including an introduction by Thurston to the general subject of complex dynamics, are classic manuscripts that were never published
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Romain Dujardin
Professeur à Sorbonne Université.
Membre honoraire de l’Institut Universitaire de France.
Thèmes de recherche:
Dynamique et géométrie complexes.
Actualités:
‣ Un nouvel article en collaboration avec Charles Favre et Thomas Gauthier: deux applications rationnelles en dimension 1 peuvent-elles avoir des ensembles de Julia localement biholomorphes? La réponse ici.
‣ Le texte de ma contribution à l’ICM 2022.
‣ Nous avons écrit avec Serge Cantat une série de trois articles sur la dynamique des groupes d’automorphismes des surfaces complexes, disponibles en ligne: 1, 2 et 3.
‣ Un article en collaboration avec Eric Bedford, sur la dynamique des automorphismes polynomiaux du plan: on y établit des nouveaux critères pour l’hyperbolicité (ETDS open access).
R. Dujardin – Some problems of arithmetic origin in complex dynamics and geometry (part1)
Description : Some themes inspired from number theory have been playing an important role in holomorphic and algebraic dynamics (iteration of rational mappings) in the past ten years. In these lectures I would like to present a few recent results in this direction. This should include: the dynamical Manin-Mumford problem, in particular in the case of product rational maps (P(x),Q(y)) (after Ghioca, Nguyen, and Ye) the “unlikely intersection” problem (after Baker and DeMarco, and also Favre and Gauthier). A key technical tool in these results is the equidistribution theory of points of small height. If time permits, we’ll also discuss the related problem of the equidistribution of roots of random polynomials
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