Albert Fathi

Q: What Schools Are Affiliated With Albert Fathi

Albert Fathi is affiliated with the following schools: University of Florida, Ain Shams University

Albert Fathi's AcademicInfluence.com Rankings

Albert Fathi

Mathematics

#3769

World Rank

#5492

Historical Rank

Measure Theory

#4133

World Rank

#4871

Historical Rank

mathematics Degrees

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Mathematics

Why Is Albert Fathi Influential?

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According to Wikipedia, Albert Fathi is an Egyptian-French mathematician. He specializes in dynamical systems and is currently a professor at the Georgia Institute of Technology. Fathi attended the Collège des frères Lasalle in Cairo and grew up bilingual in French and Arabic. At age ten, he came as a political refugee to Paris and studied at the École normale supérieure in Saint-Cloud. He received in 1980 his PhD from the University of Paris 11 under Laurence Siebenmann with thesis Transformations et homéomorphismes préservant la mesure. From 1987 to 1992 he was a professor at the University of Florida. Since 1992 he has taught at the École normale supérieure de Lyon . He has also taught at the École polytechnique.

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Albert Fathi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Weak KAM Theorem in Lagrangian Dynamics (2001) (436)
Thurston's Work on Surfaces (2012) (198)
Existence of C1 critical subsolutions of the Hamilton-Jacobi equation (2004) (180)
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians (2005) (147)
Weak kam theorem on non compact manifolds (2007) (108)
A proof of Pesin's stable manifold theorem (1983) (108)
Structure of the group of homeomorphisms preserving a good measure on a compact manifold (1980) (105)
Optimal transportation on non-compact manifolds (2007) (96)
Convergence of the solutions of the discounted Hamilton–Jacobi equation (2014) (96)
Expansiveness, hyperbolicity and Hausdorff dimension (1989) (89)
On smooth time functions (2011) (87)
The marked length-spectrum of a surface of nonpositive curvature☆ (1992) (69)
Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case (2000) (54)
On the Hausdorff dimension of the mather quotient (2007) (50)
Convergence of the solutions of the discounted equation: the discrete case (2016) (35)
Dehn twists and pseudo-Anosov diffeomorphisms (1987) (33)
Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class (2008) (31)
An Inequality between Energy and Intersection (1990) (30)
On the topology of the set of singularities of a solution to the Hamilton–Jacobi equation (2017) (28)
Some compact invariant sets for hyperbolic linear automorphisms of torii (1988) (27)
Regularity of $C^1$ solutions of the Hamilton-Jacobi equation (2003) (26)
Symplectic Topology and Measure Preserving Dynamical Systems (2010) (26)
Weak KAM from a PDE point of view: viscosity solutions of the Hamilton–Jacobi equation and Aubry set (2012) (26)
Partitions of Unity for Countable Covers (1997) (23)
Thurston's Work on Surfaces (MN-48) (2012) (23)
Aubry–Mather theory for homeomorphisms (2014) (21)
DEFORMATION OF OPEN EMBEDDINGS OF Q-MANIFOLDS (1976) (17)
Smoothing Lyapunov functions (2017) (16)
Infinitesimal conjugacies and Weil-Petersson metric (1993) (15)
Time functions revisited (2015) (12)
A new non parametric estimator for Pdf based on inverse gamma distribution (2016) (11)
Weak KAM Theory : the connection between Aubry-Mather theory and viscosity solutions of the Hamilton-Jacobi equation (2018) (9)
Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry (2019) (9)
Homotopical stability of pseudo-Anosov diffeomorphisms (1990) (8)
Ilmanen's Lemma on Insertion of C$^{1,1}$ Functions (2010) (8)
An Urysohn-type theorem under a dynamical constraint (2016) (4)
Dynamical systems : Michael Herman Memorial volume (2006) (3)
The Poisson bracket on the space of measured foliations on a surface (1987) (2)
OPTIMAL TRANSPORTATION THEORY AND APPLICATIONS (2014) (2)
New proofs of Chapman’s mapping theorem and West’s mapping cylinder theorem (1977) (1)
Denjoy-Schwartz and Hamilton-Jacobi (Viscosity Solutions of Differential Equations and Related Topics) (2009) (1)
Some Dynamics of Pseudo-Anosov Diffeomorphisms (2021) (1)
Convergence of the solutions of the discounted Hamilton–Jacobi equation (2016) (1)
Urysohn-type theorem under a dynamical constraint: Non-compact case (2022) (1)
A reduction of the fundamental conjecture about locally compact ’s (1975) (1)
Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures (2023) (1)
Skew products and minimal dynamical systems on separable Hilbert manifolds (1984) (1)
Convergence of the solutions of the discounted equation: the discrete case (2016) (0)
Sujet: Optimal transport, Euler equations, (2009) (0)
Failure of convergence of the Lax-Oleinik semigroup in the time periodic case Bulletin (2018) (0)
Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry (2021) (0)
Recurrence on infinite cyclic coverings (2020) (0)
Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms (2021) (0)
The Space of Simple Closed Curves in a Surface (2021) (0)
Measured Foliations (2021) (0)
Interpolation methods to estimate eigenvalue distribution of some integral operators (2004) (0)
On maps which are the identity on the boundary (2017) (0)
On the Existence of Smooth Lyapunov Functions for Arbitrary Closed Sets (2022) (0)
New proofs of Chapmans ${\rm CE}$ mapping theorem and Wests mapping cylinder theorem (1977) (0)
Symplectic topology and measure preserving dynamical systems : AMS-IMS-SIAM Joint Summer Research Conference, July 1-5, 2007, Snowbird, Utah (2010) (0)
The Classification of Measured Foliations (2021) (0)
Michael Robert Herman, 1942–2000 (2004) (0)
The Thurston Compactification of Teichmüller Space (2021) (0)

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Other Resources About Albert Fathi

en.wikipedia.org

What Schools Are Affiliated With Albert Fathi?

Albert Fathi is affiliated with the following schools: