Albert Fathi

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All published works

Action	Title	Year	Authors
+	Viscosity solutions of the Hamilton–Jacobi equation on a noncompact manifold	2024	Albert Fathi
+	Convergence of the solutions of the nonlinear discounted Hamilton–Jacobi equation: The central role of Mather measures	2023	Qinbo Chen Albert Fathi Maxime Zavidovique Jianlu Zhang
+	Aubry Set on Infinite Cyclic Coverings	2023	Albert Fathi Pierre Pageault
+	Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures	2023	Qinbo Chen Albert Fathi Maxime Zavidovique Jianlu Zhang
+	On the Existence of Smooth Lyapunov Functions for Arbitrary Closed Sets	2022	Albert Fathi
+ PDF Chat	Urysohn-type theorem under a dynamical constraint: Non-compact case	2022	Albert Fathi
+ PDF Chat	Some Dynamics of Pseudo-Anosov Diffeomorphisms	2021	Albert Fathi Michael Shub
+	Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms	2021	Albert Fathi Valentin Poènaru
+	The Space of Simple Closed Curves in a Surface	2021	Valentin Poènaru Albert Fathi
+	The Thurston Compactification of Teichmüller Space	2021	Albert Fathi François Laudenbach
+	Thurston's Work on Surfaces (MN-48)	2021	Albert Fathi François Laudenbach Valentin Poènaru
+ PDF Chat	Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry	2021	Piermarco Cannarsa Wei Cheng Albert Fathi
+	Recurrence on infinite cyclic coverings	2020	Albert Fathi
+	Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry.	2019	Piermarco Cannarsa Wei Cheng Albert Fathi
+	Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry	2019	Piermarco Cannarsa W. S. Cheng Albert Fathi
+ PDF Chat	On maps which are the identity on the boundary	2017	Albert Fathi
+	Smoothing Lyapunov functions	2017	Albert Fathi Pierre Pageault
+	On the topology of the set of singularities of a solution to the Hamilton–Jacobi equation	2016	Piermarco Cannarsa Wei Cheng Albert Fathi
+ PDF Chat	An Urysohn-type theorem under a dynamical constraint	2016	Albert Fathi
+	Convergence of the solutions of the discounted equation: the discrete case	2016	Andrea Davini Albert Fathi Renato Iturriaga Maxime Zavidovique
+ PDF Chat	Convergence of the solutions of the discounted Hamilton–Jacobi equation	2016	Andrea Davini Albert Fathi Renato Iturriaga Maxime Zavidovique
+	Time functions revisited	2015	Albert Fathi
+	Aubry–Mather theory for homeomorphisms	2014	Albert Fathi Pierre Pageault
+	12 Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms	2012	Albert Fathi Valentin Poènaru
+ PDF Chat	10 Some Dynamics of Pseudo-Anosov Diffeomorphisms	2012	Albert Fathi Michael Shub
+	Thurston's Work on Surfaces (MN-48)	2012	Albert Fathi François Laudenbach Valentin Poènaru
+	7 Teichmuller Space	2012	Adrien Douady Albert Fathi
+	8 The Thurston Compactification of Teichmuller Space	2012	Albert Fathi François Laudenbach
+	Weak KAM from a PDE point of view: viscosity solutions of the Hamilton–Jacobi equation and Aubry set	2012	Albert Fathi
+	Thurston's Work on Surfaces	2012	Albert Fathi François Laudenbach Valentin Poènaru
+ PDF Chat	On smooth time functions	2011	Albert Fathi Antonio Siconolfi
+	Ilmanen's Lemma on Insertion of C$^{1,1}$ Functions	2010	Albert Fathi Maxime Zavidovique
+ PDF Chat	Optimal transportation on non-compact manifolds	2010	Albert Fathi Alessio Figalli
+	Symplectic Topology and Measure Preserving Dynamical Systems	2010	Albert Fathi Yong‐Geun Oh Claude Viterbo
+	Symplectic topology and measure preserving dynamical systems : AMS-IMS-SIAM Joint Summer Research Conference, July 1-5, 2007, Snowbird, Utah	2010	Albert Fathi Yong‐Geun Oh Claude Viterbo
+ PDF Chat	Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class	2009	Albert Fathi Alessandro Giuliani Sorrentino Alfonso
+ PDF Chat	On the Hausdorff dimension of the mather quotient	2008	Albert Fathi Ludovic Rifford Alessio Figalli
+	Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class	2008	Albert Fathi Alessandro Giuliani Alfonso Sorrentino
+	Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class	2008	Albert Fathi Alessandro Giuliani Alfonso Sorrentino
+ PDF Chat	Weak kam theorem on non compact manifolds	2007	Albert Fathi Ezequiel Maderna
+	Optimal transportation on non-compact manifolds	2007	Albert Fathi Alessio Figalli
+	On the Hausdorff Dimension of the Mather Quotient	2007	Albert Fathi Alessio Figalli Ludovic Rifford
+	Dynamical systems : Michael Herman Memorial volume	2006	Michael R. Herman Albert Fathi Jean-Christophe Yoccoz
+	PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians	2004	Albert Fathi Antonio Siconolfi
+ PDF Chat	Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation	2004	Albert Fathi Antonio Siconolfi
+ PDF Chat	Regularity of C$^1$ solutions of the Hamilton-Jacobi equation	2003	Albert Fathi
+ PDF Chat	Failure of convergence of the Lax-Oleinik semi-group in the time periodic case	2000	Albert Fathi John N. Mather
+	Sur la convergence du semi-groupe de Lax-Oleinik	1998	Albert Fathi
+	Orbites hétéroclines et ensemble de Peierls	1998	Albert Fathi
+	Partitions of Unity for Countable Covers	1997	Albert Fathi
+	Solutions KAM faibles conjuguées et barrières de Peierls	1997	Albert Fathi
+	Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens	1997	Albert Fathi
+	Infinitesimal conjugacies and Weil-Petersson metric	1993	Albert Fathi Livio Flaminio
+	The marked length-spectrum of a surface of nonpositive curvature	1992	Christopher B. Croke Albert Fathi Jacob J. Feldman
+ PDF Chat	Démonstration d'un théorème de Penner sur la composition des twists de Dehn	1992	Albert Fathi
+	An Inequality between Energy and Intersection	1990	Christopher B. Croke Albert Fathi
+ PDF Chat	Homotopical stability of pseudo-Anosov diffeomorphisms	1990	Albert Fathi
+ PDF Chat	Expansiveness, hyperbolicity and Hausdorff dimension	1989	Albert Fathi
+ PDF Chat	Some compact invariant sets for hyperbolic linear automorphisms of torii	1988	Albert Fathi
+	The Poisson bracket on the space of measured foliations on a surface	1987	Albert Fathi
+	Dehn twists and pseudo-Anosov diffeomorphisms	1987	Albert Fathi
+ PDF Chat	Skew products and minimal dynamical systems on separable Hilbert manifolds	1984	Albert Fathi
+	Existence de systémes dynamiques minimaux sur l'espace de hilbert séparable	1983	Albert Fathi
+	A proof of Pesin's stable manifold theorem	1983	Albert Fathi Michael R. Herman Jean-Christophe Yoccoz
+ PDF Chat	Structure of the group of homeomorphisms preserving a good measure on a compact manifold	1980	Albert Fathi
+	Le Groupe des Transformations de [0, 1] Qui Preservent la Mesure de Lebesgue Est un Groupe Simple	1978	Albert Fathi
+ PDF Chat	New proofs of Chapman’s 𝐶𝐸 mapping theorem and West’s mapping cylinder theorem	1977	Albert Fathi Albert Marín Yves-Marie Visetti
+ PDF Chat	Deformation of open embeddings of $Q$-manifolds	1976	Albert Fathi Yves-Marie Visetti
+ PDF Chat	A reduction of the fundamental conjecture about locally compact 𝐴𝑁𝑅’s	1975	Albert Fathi Yves-Marie Visetti

Common Coauthors

Coauthor	Papers Together
Valentin Poénaru	6
François Laudenbach	5
Maxime Zavidovique	5
Piermarco Cannarsa	4
Alessio Figalli	4
Antonio Siconolfi	3
Pierre Pageault	3
Yves-Marie Visetti	3
Wei Cheng	3
Ludovic Rifford	2
Claude Viterbo	2
Alfonso Sorrentino	2
Renato Iturriaga	2
Qinbo Chen	2
Christopher B. Croke	2
Jean-Christophe Yoccoz	2
Andrea Davini	2
Alessandro Giuliani	2
Jianlu Zhang	2
Yong‐Geun Oh	2
Michael R. Herman	2
Michael Shub	2
Alessandro Giuliani	1
Jacob J. Feldman	1
Sorrentino Alfonso	1
W. S. Cheng	1
Livio Flaminio	1
Ezequiel Maderna	1
Adrien Douady	1
Albert Marín	1
John N. Mather	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Action minimizing invariant measures for positive definite Lagrangian systems	1991	John N. Mather	9
+	Weak KAM from a PDE point of view: viscosity solutions of the Hamilton–Jacobi equation and Aubry set	2012	Albert Fathi	8
+	Solutions de viscosité des équations de Hamilton-Jacobi	1994	Guy Barles	8
+ PDF Chat	Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation	2004	Albert Fathi Antonio Siconolfi	7
+ PDF Chat	Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds	2007	Patrick Bernard	7
+	One-dimensional Variational Problems	1999	Giuseppe Buttazzo Mariano Giaquinta Stefan Hildebrandt	7
+	Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens	1997	Albert Fathi	6
+	PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians	2004	Albert Fathi Antonio Siconolfi	6
+ PDF Chat	Weak kam theorem on non compact manifolds	2007	Albert Fathi Ezequiel Maderna	6
+	Solutions KAM faibles conjuguées et barrières de Peierls	1997	Albert Fathi	6
+	Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control	2004	Piermarco Cannarsa Carlo Sinestrari	5
+	Generic properties and problems of minimizing measures of Lagrangian systems	1996	Ricardo Mañé	5
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	5
+	On the Homogenization of the Hamilton-Jacobi Equation	2019	Alfonso Sorrentino	4
+	A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics	2007	Antonio Siconolfi Gabriele Terrone	4
+ PDF Chat	Optimal transportation on non-compact manifolds	2010	Albert Fathi Alessio Figalli	4
+	Action potential and weak KAM solutions	2001	Gonzalo Contreras	3
+ PDF Chat	On the Hausdorff dimension of the mather quotient	2008	Albert Fathi Ludovic Rifford Alessio Figalli	3
+	Partitions of Unity for Countable Covers	1997	Albert Fathi	3
+ PDF Chat	Convergence of the solutions of the discounted Hamilton–Jacobi equation	2016	Andrea Davini Albert Fathi Renato Iturriaga Maxime Zavidovique	3
+	Existence of quasi-periodic orbits for twist homeomorphisms of the annulus	1982	John N. Mather	3
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	3
+ PDF Chat	Regularity of C$^1$ solutions of the Hamilton-Jacobi equation	2003	Albert Fathi	3
+	A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations	2013	Hitoshi Ishii	3
+	Aubry–Mather theory for homeomorphisms	2014	Albert Fathi Pierre Pageault	3
+ PDF Chat	Strict sub-solutions and Mañé potential in discrete weak KAM theory	2012	Maxime Zavidovique	3
+	On the minimizing measures of Lagrangian dynamical systems	1992	Ricardo Mañé	3
+ PDF Chat	On smooth time functions	2011	Albert Fathi Antonio Siconolfi	3
+	Topological Entropy and the First Homology Group	1975	Anthony Manning	3
+	Entropy and the fundamental group	1978	Rufus Bowen	3
+	Lagrangian Graphs, Minimizing Measures and Ma��'s Critical Values	1998	Mauricio Contreras Renato Iturriaga Gabriel P. Paternain Miguel Paternain	3
+	Selected topics in infinite-dimensional topology	1975	C. Bessaga A. Pełczyński	3
+ PDF Chat	A fundamental class of geodesics on any closed surface of genus greater than one	1924	Harold Marston Morse	2
+ PDF Chat	Geometric intersection functions and Hamiltonian flows on the space of measured foliations on a surface	1986	Athanase Papadopoulos	2
+ PDF Chat	Characterization of optimal transport plans for the Monge-Kantorovich problem	2008	Walter Schachermayer Josef Teichmann	2
+	Sur la convergence du semi-groupe de Lax-Oleinik	1998	Albert Fathi	2
+ PDF Chat	Some properties of viscosity solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall L. C. Evans Pierre‐Louis Lions	2
+	On a Problem of Monge	2006	L. V. Kantorovich	2
+	Inégalités « a priori » pour des tores lagrangiens invariants par des difféomorphismes symplectiques	1989	Michael R. Herman	2
+	Generalized Mather problem and selection principles for viscosity solutions and mather measures	2008	Diogo A. Gomes	2
+ PDF Chat	Structure of the group of homeomorphisms preserving a good measure on a compact manifold	1980	Albert Fathi	2
+ PDF Chat	Polar factorization of maps on Riemannian manifolds	2001	Robert J. McCann	2
+ PDF Chat	Hyperbolic Low-Dimensional Invariant Tori¶and Summations of Divergent Series	2002	Giovanni Gallavotti Guido Gentile	2
+	Geometric Problems in the Theory of Infinite-dimensional Probability Distributions	1979	V. N. Sudakov H. H. McFaden	2
+ PDF Chat	Homeomorphisms of Hilbert cube manifolds	1973	T. A. Chapman	2
+	Cycles for the dynamical study of foliated manifolds and complex manifolds	1976	Dennis Sullivan	2
+	On the optimal mapping of distributions	1984	M. Knott Cyril Stanley Smith	2
+	Minimal Measures and Minimizing Closed Normal One-currents	1999	Victor Bangert	2
+	Geometry and Topology of Manifolds	2007	William P. Thurston	2
+ PDF Chat	Degenerate Elliptic Resonances	2005	Guido Gentile Giovanni Gallavotti	2