PUBLICATIONS – PATRICK FOULON
Articles
R.L.Bryant, P. Foulon, S. Ivanov, V.S.
Matveev, W. Ziller. Geodesic behavior for Finsler metrics of constant
positive flag curvature on S2. Journal
of Differential Geometry, 117 (2021) 1-22
Patrick Foulon, Boris Hasselblatt, Anne
Vaugon. Orbit growth of contact structures after surgery.
Annales
Henri Lebesgue, 1
(2020)
FOULON, P., and KIM, I. (2020). Continuity
of the SRB entropy of convex projective structures. Ergodic
Theory
and Dynamical Systems,
1-13. doi :10.1017/etds.2020.48
Patrick Foulon, Vladimir S.Matveev. Zermelo
deformation of finsler metrics by killing vector fields.
Electronic
Research Announcements
2018, 25 : 1-7. doi : 10.3934/era.2018.25.001
Foulon, Patrick ; Hasselblatt, Boris. Godbillon–Vey
invariants for maximal isotropic C2 foliations.
Geometry, Dynamics, and Foliations 2013
: In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th
birthdays, 349–365, Mathematical
Society of Japan, Tokyo, Japan, 2017.
doi
:10.2969/aspm/07210349.
Patrick Foulon, Inkang Kim. Topological
Entropy and bulging deformation of real projective structures on surface.
arXiv :1608.06799 (2016)
Foulon, Patrick., Ruggiero, Rafael. A
first integral for C1, k-basic Finsler surfaces and
applications to rigidity. Proc.
Amer.Math. Soc 144 (2016), 3847-3858.
Fang, Yong., Foulon, Patrick. On
Finsler manifolds of negative flag curvature. Journal of Topology and
Analysis, Vol.07, No.03, pp. 483-504 (2015) https
://doi.org/10.1142/S1793525315500181
Foulon, Patrick ; Hasselblatt, Boris. Contact
Anosov flows on hyperbolic 3-manifolds. Geometry and
Topology 17 (2013), no. 2, 1225–1252. doi
:10.2140/gt.2013.17.1225.
Foulon, Patrick., Hasselblatt, Boris. Dynamical
Lagrangian Foliations : Essential nonsmoothness and Godbillon-Vey classes. Geometry
and Foliations, 2013.
Patrick Foulon, Boris Hasselblatt. Lipschitz
continuous invariant forms for algebraic Anosov systems.
Journal
of Modern Dynamics,
2010, 4 (3) : 571-584. doi : 10.3934/jmd.2010.4.571
Yong Fang, Patrick Foulon, Boris
Hasselblatt Zygmund strong foliations in higher dimension. Journal of
Modern Dynamics, 2010, 4, (3), 549-569. doi : 10.3934/jmd.2010.4.549
link
Yong Fang, Patrick Foulon, Boris Hasselblatt
Longitudinal foliation rigidity and Lipschitz-continuous invariant forms for
hyperbolic flows. Electronic Research Announcements., 2010, 17 :
80-89. doi :10.3934/era.2010.17.80
Foulon, Patrick. Systèmes dynamiques
hyperboliques. (French) [Hyperbolic dynamical systems] Berline,
Nicole (ed.) et al., Aspects des
systèmes dynamiques. Palaiseau : Les Éditions de l’École Polytechnique.
Journées
mathématiques X-UPS, 2009, 29–52.
Foulon, P., Hasselblatt, B. Zygmund
strong foliations. Isr. J. Math.138, 157–169 (2003).
https://doi.org/10.1007/BF02783424
Foulon, Patrick. Curvature
and global rigidity in Finsler manifolds. Special issue for S. S. Chern.
Houston
J.Math., 2002, vol. 28,
no. 2, 263–292. doi=10.1.1.638.9076
FOULON, P. (2001) Entropy rigidity of
Anosov flows in dimension three. Ergodic Theory and Dynamical
Systems, 21(4), 1101-1112. doi
:10.1017/S0143385701001523
Patrick Foulon, Les espaces de
Finsler localement symétriques à courbure négative. Locally symmetric Finsler
spaces in negative curvature, Comptes Rendus de l’Académie des Sciences
- Series I - Mathematics, Volume 324, Issue 10, 1997, Pages 1127-1132, ISSN
0764-4442, https ://doi.org/10.1016/S0764-4442(97)87899-8
Foulon, P. Feuilletages des sphères
et dynamiques Nord-Sud. (French) [Foliations of spheres and
North-South dynamics] Comptes Rendus de l’Académie des
Sciences - Series I - Mathematics, Volume
318,
Issue 11,1994, Pages 1041-1042.
Foulon, P. Estimation de l’entropie
des systèmes lagrangiens sans points conjugués. (French) [Estimation
of the entropy of Lagrangian systems
without conjugate points].
With an appendix, "About Finsler geometry" in English, Ann. Inst.
H. Poincaré Phys. Théor., 1992, vol. 57, no. 2, 117–146.
Foulon, P., Labourie, F. Sur les
variétés compactes asymptotiquement harmoniques. (French) [On
asymptotically harmonic compact manifolds] Invent.Math.,109, 97–111
(1992). https://doi.org/10.1007/BF01232020
Benoist, Yves., Foulon, Patrick.,
Labourie, François. Flots d’Anosov à distributions stable et instable
différentiables. (French) [Anosov flows with stable and unstable
differentiable distributions] J. Amer.
Math.
Soc., 5 (1992), 33-74. https://doi.org/10.1090/S0894-0347-1992-1124979-1
Delyon, F., Foulon, P. Complex
entropy for dynamical systems. Ann. Inst. H. Poincaré Phys. Théor.,
1991,
vol. 55, no. 4, 891–902.
Benoist, Yves., Foulon, Patrick.,
Labourie, François. Flots d’Anosov à distributions de Liapounov
différentiables.I. (French) [Anosov flows with differentiable Lyapunov
distributions. I] Ann. Inst. H.
Poincaré
Phys. Théor.,
1990, vol. 53, no. 4, 395–412.
link
Benoist, Yves.,
Foulon, Patrick., Labourie, François. Flots d’Anosov à distributions stable
et instable différentiables. (French) [Anosov flows with smooth stable
and unstable foliations] C. R. Acad. Sci.
Paris
Sér. I Math.,
1990, vol. 311, no. 6, 351–354.
Foulon, Patrick., Labourie, François., Flots
d’Anosov à distributions de Liapounov différentiables.
(French) [Anosov flows with
differentiable Lyapunov distributions] C. R. Acad. Sci. Paris Sér. I
Math.,
1989,
vol. 309, no. 5, 255–260.
Delyon, François., Foulon, Patrick. Adiabatic
theory, Liapunov exponents, and rotation number for quadratic Hamiltonians.
J. Statist. Phys., 1987, vol. 49, no. 3-4, 829–840.
Foulon, P. Réductibilité de systèmes
dynamiques variationnels. (French) [Reducibility of variational
dynamical
systems] Ann. Inst.
H. Poincaré Phys. Théor., 1986, vol. 45, no. 4, 359–388.
Delyon, François., Foulon, Patrick. Adiabatic
invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger
equation. J. Statist. Phys., 1986, vol. 45, no. 1-2, 41–47.
Foulon, Patrick. Géométrie des
équations différentielles du second ordre. (French) [The geometry of
second-order differential equations] Ann. Inst. H. Poincaré Phys. Théor.,
1986, vol. 45, no. 1, 1–28.
Preprints
Foulon, Patrick; Kim,
Inkang Sinai-Ruelle-Bowen measure
entropy of geodesic flow on convex
projective surfaces, 2019
Foulon Patrick., Kim Inkang. Entropy and
Deformation of Real Projective Structure on Surface,
2014.
avec A. Reissmann. Finsler
structure of constant curvature of the two-sphere, 2000.
Autres / Other publications
Foulon, Patrick; Audin,
Michèle, Fasenachtkuechle feuilletés,
L'ouvert, 1996, no.83
link
Foulon, Patrick. Systèmes dynamiques hyperboliques. (French). (Hyperbolic dynamical systems). Centre
de mathématiques, Ecole Polytechnique. Systèmes
dynamiques : le premier retour. Journées Mathématiques X-UPS 1996, 29-52.
Foulon,
Patrick. Contribution à l'étude
géométrique des problèmes de la dynamique lagrangienne. (French). Thèse de 3ème
cycle. (PhD thesis). Université Paris VI, 1983, 122 p.
link
Foulon, Patrick. Nouveaux invariants géométriques des
systèmes dynamiques du second ordre. Applications à l'étude de leur
comportement ergodique. (French). Thèse
d'état : Sciences Mathématiques, Université Paris 6, 1986, 159 p.
link
Foulon, Patrick. Systèmes dynamiques hyperboliques. (French). [Hyperbolic dynamical systems]. Berline, Nicole (ed.) et al. Aspects des systèmes dynamiques. Les Éditions de l’École polytechnique, 2009,
ISBN 978-2-7302-1560-2/pbk. Journées Mathématiques X-UPS, 29-52.
link
Activités éditoriales / Editorial activities
Babillot,
Martine; Feres, Renato; Zeghib, Abdelghani
Rigidité, groupe fondamental et
dynamique. (French) [Rigidity, fundamental group and dynamics] With
the collaboration of Emmanuel Breuillard. Edited by Patrick Foulon. Panoramas et
Synthèses [Panoramas and Syntheses], 13. Société Mathématique de France, Paris, 2002. xiv+188 pp.
