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Foulon, Patrick

Co-Author Distance
Author ID: foulon.patrick Recent zbMATH articles by "Foulon, Patrick"
Published as: Foulon, Patrick; Foulon, P.
Videos: carmin.tv
Documents Indexed: 32 Publications since 1986, including 4 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 13 Co-Authors with 24 Joint Publications
366 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
7 Hasselblatt, Boris
5 Labourie, François
4 Kim, Inkang
3 Benoist, Yves
3 Delyon, François
3 Fang, Yong
2 Matveev, Vladimir S.
1 Bryant, Robert L.
1 Ivanov, Sergei Vladimirovich
1 Matheus, Carlos
1 Ruggiero, Rafael Oswaldo
1 Vaugon, Anne
1 Ziller, Wolfgang
all top 5

Serials

5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Comptes Rendus de l’Académie des Sciences. Série I
2 Journal of Statistical Physics
2 Ergodic Theory and Dynamical Systems
2 Journal of Modern Dynamics
2 Electronic Research Announcements in Mathematical Sciences
1 Houston Journal of Mathematics
1 Israel Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Proceedings of the American Mathematical Society
1 Journal of the American Mathematical Society
1 Geometry & Topology
1 Panoramas et Synthèses
1 Journal of Topology and Analysis
1 Annales Henri Lebesgue
all top 5

Fields

21 Dynamical systems and ergodic theory (37-XX)
15 Differential geometry (53-XX)
5 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
2 Topological groups, Lie groups (22-XX)
1 General and overarching topics; collections (00-XX)
1 Ordinary differential equations (34-XX)
1 Geometry (51-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

25 Publications have been cited 339 times in 208 Documents Cited by ▼ Year ▼
Anosov flows with differentiable stable and unstable distributions. (Flots d’Anosov à distributions stable et instable différentiables.) Zbl 0759.58035
Benoist, Yves; Foulon, Patrick; Labourie, François
143
1992
Contact Anosov flows on hyperbolic 3-manifolds. Zbl 1277.37057
Foulon, Patrick; Hasselblatt, Boris
39
2013
Géométrie des équations différentielles du second ordre. (Geometry of second order differential equations). Zbl 0624.58011
Foulon, Patrick
22
1986
On compact asymptotically harmonic manifolds. (Sur les variétés compactes asymptotiquement harmoniques.) Zbl 0767.53030
Foulon, Patrick; Labourie, François
19
1992
Estimation of the entropy of Lagrangian systems without conjugate points. (Estimation de l’entropie des systèmes lagrangiens sans points conjugués.) Zbl 0806.58029
Foulon, P.
18
1992
Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019
Foulon, Patrick; Matveev, Vladimir S.
12
2018
Locally symmetric Finsler spaces in negative curvature. Zbl 0882.53051
Foulon, Patrick
10
1997
Curvature and global rigidity in Finsler manifolds. Zbl 1027.53088
Foulon, Patrick
9
2002
A first integral for \(C^\infty\), \(k\)-basic Finsler surfaces and applications to rigidity. Zbl 1366.37086
Foulon, P.; Ruggiero, R.
8
2016
Flots d’Anosov à distributions de Liapounov différentiables. I. (Anosov flows with differentiable Lyapunov distributions. I.). Zbl 0723.58040
Benoist, Yves; Foulon, Patrick; Labourie, François
7
1990
Geodesic behavior for Finsler metrics of constant positive flag curvature on \(S^2\). Zbl 1486.53086
Bryant, R. L.; Foulon, P.; Ivanov, S. V.; Matveev, V. S.; Ziller, W.
6
2021
Entropy rigidity of Anosov flows in dimension three. Zbl 1055.37031
Foulon, Patrick
6
2001
Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation. Zbl 0628.34052
Delyon, François; Foulon, Patrick
6
1986
Flots d’Anosov à distributions stable et instable différentiables. (Anosov flows with smooth stable and unstable distributions). Zbl 0754.58027
Benoist, Yves; Foulon, Patrick; Labourie, François
5
1990
On Finsler manifolds of negative flag curvature. Zbl 1322.53078
Fang, Yong; Foulon, Patrick
4
2015
Zygmund strong foliations. Zbl 1330.37030
Foulon, Patrick; Hasselblatt, Boris
4
2003
Foliations of spheres and North-South dynamics. (Feuilletages des sphères et dynamiques Nord-Sud.) Zbl 0809.57019
Foulon, Patrick
4
1994
Orbit growth of contact structures after surgery. (Croissance des orbites périodiques et complexité pour des structures de contact construites par chirurgie.) Zbl 1492.37036
Foulon, Patrick; Hasselblatt, Boris; Vaugon, Anne
4
2021
Réductibilité de systèmes dynamiques variationnels. (Reducibility of variational dynamical systems). Zbl 0614.70017
Foulon, P.
3
1986
Godbillon-Vey invariants for maximal isotropic \(C^2\) foliations. Zbl 1386.53096
Foulon, Patrick; Hasselblatt, Boris
3
2017
Zygmund strong foliations in higher dimension. Zbl 1246.37048
Fang, Yong; Foulon, Patrick; Hasselblatt, Boris
2
2010
Adiabatic theory, Liapunov exponents, and rotation number for quadratic Hamiltonians. Zbl 0965.37506
Delyon, François; Foulon, Patrick
2
1987
Lipschitz continuous invariant forms for algebraic Anosov systems. Zbl 1211.37002
Foulon, Patrick; Hasselblatt, Boris
1
2010
Complex entropy for dynamical systems. Zbl 0748.58009
Delyon, F.; Foulon, P.
1
1991
Rigidity, fundamental group and dynamics. (Rigidité, groupe fondamental et dynamique.) Zbl 1008.00012
1
2002
Geodesic behavior for Finsler metrics of constant positive flag curvature on \(S^2\). Zbl 1486.53086
Bryant, R. L.; Foulon, P.; Ivanov, S. V.; Matveev, V. S.; Ziller, W.
6
2021
Orbit growth of contact structures after surgery. (Croissance des orbites périodiques et complexité pour des structures de contact construites par chirurgie.) Zbl 1492.37036
Foulon, Patrick; Hasselblatt, Boris; Vaugon, Anne
4
2021
Zermelo deformation of Finsler metrics by Killing vector fields. Zbl 1402.53019
Foulon, Patrick; Matveev, Vladimir S.
12
2018
Godbillon-Vey invariants for maximal isotropic \(C^2\) foliations. Zbl 1386.53096
Foulon, Patrick; Hasselblatt, Boris
3
2017
A first integral for \(C^\infty\), \(k\)-basic Finsler surfaces and applications to rigidity. Zbl 1366.37086
Foulon, P.; Ruggiero, R.
8
2016
On Finsler manifolds of negative flag curvature. Zbl 1322.53078
Fang, Yong; Foulon, Patrick
4
2015
Contact Anosov flows on hyperbolic 3-manifolds. Zbl 1277.37057
Foulon, Patrick; Hasselblatt, Boris
39
2013
Zygmund strong foliations in higher dimension. Zbl 1246.37048
Fang, Yong; Foulon, Patrick; Hasselblatt, Boris
2
2010
Lipschitz continuous invariant forms for algebraic Anosov systems. Zbl 1211.37002
Foulon, Patrick; Hasselblatt, Boris
1
2010
Zygmund strong foliations. Zbl 1330.37030
Foulon, Patrick; Hasselblatt, Boris
4
2003
Curvature and global rigidity in Finsler manifolds. Zbl 1027.53088
Foulon, Patrick
9
2002
Rigidity, fundamental group and dynamics. (Rigidité, groupe fondamental et dynamique.) Zbl 1008.00012
1
2002
Entropy rigidity of Anosov flows in dimension three. Zbl 1055.37031
Foulon, Patrick
6
2001
Locally symmetric Finsler spaces in negative curvature. Zbl 0882.53051
Foulon, Patrick
10
1997
Foliations of spheres and North-South dynamics. (Feuilletages des sphères et dynamiques Nord-Sud.) Zbl 0809.57019
Foulon, Patrick
4
1994
Anosov flows with differentiable stable and unstable distributions. (Flots d’Anosov à distributions stable et instable différentiables.) Zbl 0759.58035
Benoist, Yves; Foulon, Patrick; Labourie, François
143
1992
On compact asymptotically harmonic manifolds. (Sur les variétés compactes asymptotiquement harmoniques.) Zbl 0767.53030
Foulon, Patrick; Labourie, François
19
1992
Estimation of the entropy of Lagrangian systems without conjugate points. (Estimation de l’entropie des systèmes lagrangiens sans points conjugués.) Zbl 0806.58029
Foulon, P.
18
1992
Complex entropy for dynamical systems. Zbl 0748.58009
Delyon, F.; Foulon, P.
1
1991
Flots d’Anosov à distributions de Liapounov différentiables. I. (Anosov flows with differentiable Lyapunov distributions. I.). Zbl 0723.58040
Benoist, Yves; Foulon, Patrick; Labourie, François
7
1990
Flots d’Anosov à distributions stable et instable différentiables. (Anosov flows with smooth stable and unstable distributions). Zbl 0754.58027
Benoist, Yves; Foulon, Patrick; Labourie, François
5
1990
Adiabatic theory, Liapunov exponents, and rotation number for quadratic Hamiltonians. Zbl 0965.37506
Delyon, François; Foulon, Patrick
2
1987
Géométrie des équations différentielles du second ordre. (Geometry of second order differential equations). Zbl 0624.58011
Foulon, Patrick
22
1986
Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation. Zbl 0628.34052
Delyon, François; Foulon, Patrick
6
1986
Réductibilité de systèmes dynamiques variationnels. (Reducibility of variational dynamical systems). Zbl 0614.70017
Foulon, P.
3
1986
all cited Publications top 5 cited Publications
all top 5

Cited by 260 Authors

12 Foulon, Patrick
7 Hasselblatt, Boris
6 Fang, Yong
6 Matveev, Vladimir S.
5 Barbosa Gomes, José
5 Barthelmé, Thomas
5 Ledrappier, François
5 Rodríguez-Migueles, José Andrés
5 Ruggiero, Rafael Oswaldo
4 Dumitrescu, Sorin
4 Fenley, Sérgio R.
4 Kim, Changwan
4 Rovenskiĭ, Vladimir Yuzefovich
4 Walczak, Paweł Grzegorz
3 Aldea, Nicoleta
3 Alves, Marcelo R. R.
3 Bonatti, Christian
3 Bucataru, Joan
3 Colbois, Bruno
3 Cremaschi, Tommaso
3 Hozoori, Surena
3 Labourie, François
3 Martínez Fernández, Eduardo
3 Potrie, Rafael
3 Shu, Lin
2 Arnaud, Marie-Claude
2 Béguin, François
2 Benoist, Yves
2 Besson, Gérard
2 Bowden, Jonathan Peter
2 Cariñena, José F.
2 Cheng, Xinyue
2 Chimenton, Alessandro Gaio
2 Connell, Chris
2 Constantinescu, Oana
2 Courtois, Gilles
2 Creţu, Georgeta
2 Delyon, François
2 Durán Fernandez, Carlos Eduardo
2 Gallot, Sylvestre
2 Ghys, Étienne
2 Hamenstädt, Ursula
2 Huang, Libing
2 Kalinin, Boris
2 Kim, Inkang
2 Knieper, Gerhard
2 Kopacz, Piotr
2 Mion-Mouton, Martin
2 Monclair, Daniel
2 Paternain, Gabriel Pedro
2 Peyerimhoff, Norbert
2 Pinsky, Tali
2 Purcell, Jessica Shepherd
2 Rademacher, Hans-Bert
2 Sadovskaya, Victoria
2 Sarlet, Willy
2 Shao, Zhiqiang
2 Spatzier, Ralf J.
2 Verovic, Patrick
2 Yu, Bin
1 Agrachev, Andreĭ Aleksandrovich
1 Alexandrino, Marcos M.
1 Allout, Souheib
1 Álvarez Paiva, Juan Carlos
1 An, Jinpeng
1 Asanjarani, Azam
1 Avdek, Russell
1 Azi, Mourad
1 Bahramand, Salma
1 Benettin, Giancarlo
1 Bergeron, Maxime
1 Bibi, Mohand Ouamer
1 Biswas, Kingshook
1 Blair, David E.
1 Bonthonneau, Yannick Guedes
1 Bouallala, Mustapha
1 Boulaaras, Salah Mahmoud
1 Bryant, Robert L.
1 Bu, Qihui
1 Burns, Keith
1 Butterley, Oliver
1 Can, Nguyen Huu
1 Cantat, Serge
1 Cao, Jianguo
1 Castillon, Philippe
1 Cekić, Mihajlo
1 Cheng, Pengpeng
1 Cheng, Ze
1 Chierchia, Luigi
1 Cieliebak, Kai
1 Coles, Solly
1 Colin de Verdière, Yves
1 Costa, Éder Rítis Aragão
1 Crampin, Mike
1 Crampon, Mickaël
1 Crawford, Britnee A.
1 Da Luz, Adriana
1 de Almeida, Uira Noberto Matos
1 de Poyferré, Thibault
1 de Simoi, Jacopo
...and 160 more Authors
all top 5

Cited in 91 Serials

20 Ergodic Theory and Dynamical Systems
11 Differential Geometry and its Applications
9 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Geometriae Dedicata
7 Discrete and Continuous Dynamical Systems
6 Proceedings of the American Mathematical Society
6 Geometry & Topology
6 Communications on Pure and Applied Analysis
5 Geometric and Functional Analysis. GAFA
5 Journal of Industrial and Management Optimization
5 Journal of Modern Dynamics
4 Advances in Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Israel Journal of Mathematics
3 Journal of Geometry and Physics
3 Bulletin de la Société Mathématique de France
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Annals of Global Analysis and Geometry
3 The Journal of Geometric Analysis
3 Journal of Topology and Analysis
2 Journal of Statistical Physics
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Publications Mathématiques
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 International Journal of Mathematics
2 Regular and Chaotic Dynamics
2 Journal of the European Mathematical Society (JEMS)
2 Discrete and Continuous Dynamical Systems. Series B
2 Discrete and Continuous Dynamical Systems. Series S
2 Numerical Algebra, Control and Optimization
2 Annales Henri Lebesgue
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Houston Journal of Mathematics
1 Journal of Mathematical Physics
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 Forum Mathematicum
1 IMRN. International Mathematics Research Notices
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 The New York Journal of Mathematics
1 Journal of Lie Theory
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 Communications of the Korean Mathematical Society
1 Acta Mathematica Sinica. English Series
1 Journal of Dynamical and Control Systems
1 DGDS. Differential Geometry – Dynamical Systems
1 Qualitative Theory of Dynamical Systems
1 Algebraic & Geometric Topology
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of the Institute of Mathematics of Jussieu
1 International Journal of Geometric Methods in Modern Physics
1 Mathematical Biosciences and Engineering
1 Oberwolfach Reports
1 Journal of Fixed Point Theory and Applications
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 Advances in Mathematics of Communications
1 Journal of Topology
1 Electronic Research Announcements in Mathematical Sciences
1 Evolution Equations and Control Theory
1 Analysis and Geometry in Metric Spaces
1 European Journal of Mathematics
1 Transactions of the American Mathematical Society. Series B
1 Tunisian Journal of Mathematics
1 Pure and Applied Analysis
1 Mathematics Research Reports
1 Journal of Finsler Geometry and its Applications
1 Communications on Analysis and Computation
all top 5

Cited in 41 Fields

126 Differential geometry (53-XX)
97 Dynamical systems and ergodic theory (37-XX)
35 Manifolds and cell complexes (57-XX)
28 Global analysis, analysis on manifolds (58-XX)
15 Ordinary differential equations (34-XX)
12 Partial differential equations (35-XX)
9 Mechanics of particles and systems (70-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Probability theory and stochastic processes (60-XX)
5 Functions of a complex variable (30-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Operations research, mathematical programming (90-XX)
4 Topological groups, Lie groups (22-XX)
4 Real functions (26-XX)
3 Operator theory (47-XX)
3 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
3 Quantum theory (81-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Geometry (51-XX)
2 Numerical analysis (65-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year