Stéphane SABOURAU

Stéphane Sabourau

Professeur

Université Paris-Est Créteil
Laboratoire d'Analyse et de Mathématiques Appliquées
CNRS UMR 8050
61 Avenue du Général de Gaulle
94010 Créteil
France

Bureau : P3 435a
Téléphone : (33) 1 45 17 65 74
Fax : (33) 1 45 17 16 49
Courriel : stephane.sabourau AT u-pec.fr

Research

I am interested in global Riemannian geometry and, more specifically, in curvature-free geometry.

Articles

Please note that the pdf-files of the articles posted on this page may differ from the journal publications.

Mikhail Katz, Stéphane Sabourau, Dyck's surfaces, systoles, and capacities.
Preprint. [pdf]

Mikhail Katz, Stéphane Sabourau, Hyperellipticity and systoles of Klein surfaces.
Geometriae Dedicata, accepted for publication. [pdf] [journal]

Florent Balacheff, Hugo Parlier, Stéphane Sabourau, Short loop decompositions of surfaces and the geometry of Jacobians.
Geometric and Functional Analysis, vol. 22 (2012), no. 1, 37-73. [pdf] [journal]

Stéphane Sabourau, Isosystolic genus three surfaces critical for slow metric variations.
Geometry & Topology, vol. 15 (2011), no. 3, 1477-1508. [pdf] [journal]

Karin Katz, Mikhail Katz, Stéphane Sabourau, Steven Shnider, Shmuel Weinberger, Relative systoles of relative-essential 2-complexes.
Algebraic & Geometric Topology, vol. 11 (2011), no. 1, 197-217. [pdf] [journal]

Stéphane Sabourau, Local extremality of the Calabi-Croke sphere for the length of the shortest closed geodesic.
Journal of the London Mathematical Society, vol. 82 (2010), no. 3, 549-562. [pdf] [journal]

Aris Daniilidis, Olivier Ley, Stéphane Sabourau, Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions.
Journal de Mathématiques Pures et Appliquées, vol. 94 (2010), no. 2, 183-199. [pdf] [journal]

Florent Balacheff, Stéphane Sabourau, Diastolic and isoperimetric inequalities on surfaces.
Annales Scientifiques de l'École Normale Supérieure, vol. 43 (2010), no. 4, 579-605. [pdf] [journal]

Stéphane Sabourau, Asymptotic bounds for separating systoles on surfaces.
Commentarii Mathematici Helvetici, vol. 83 (2008), no. 1, 35-54. [pdf] [journal]

Yuli Rudyak, Stéphane Sabourau, Systolic invariants of groups and 2-complexes via Grushko decomposition.
Annales de l'Institut Fourier, vol. 58 (2008), no. 3, 777-800. [pdf] [journal]

Stéphane Sabourau, Systolic volume of hyperbolic manifolds and connected sums of manifolds.
Geometriae Dedicata, vol. 127 (2007), no. 1, 7-18. [pdf] [journal]

Mikhail Katz, Yuli Rudyak, Stéphane Sabourau, Systoles of 2-complexes, Reeb graph, and Grushko decomposition.
International Mathematics Research Notices, (2006), Art. ID 54936, 30 pp. [pdf] [journal]

Stéphane Sabourau, Systolic volume and minimal entropy of aspherical manifolds.
Journal of Differential Geometry, vol. 74 (2006), no. 1, 155-176. [pdf] [journal]

Stéphane Sabourau, Entropy and systoles on surfaces.
Ergodic Theory and Dynamical Systems, vol. 26 (2006), no. 5, 1653-1669. [pdf] [journal]

Mikhail Katz, Stéphane Sabourau, An optimal systolic inequality for CAT(0) metrics in genus two.
Pacific Journal of Mathematics, vol. 227 (2006), no. 1, 95-107. [pdf] [journal]

Mikhail Katz, Stéphane Sabourau, Hyperelliptic surfaces are Loewner.
Proceedings of the American Mathematical Society, vol. 134 (2006), no. 4, 1189-1195. [pdf] [journal]

Mikhail Katz, Stéphane Sabourau, Entropy of systolically extremal surfaces and asymptotic bounds.
Ergodic Theory and Dynamical Systems, vol. 25 (2005), no. 4, 1209-1220. [pdf] [journal]

Stéphane Sabourau, Global and local volume bounds and the shortest geodesic loops.
Communications in Analysis and Geometry, vol. 12 (2004), no. 5, 1039-1053. [pdf] [journal]

Stéphane Sabourau, Filling radius and short closed geodesics of the 2-sphere.
Bulletin de la Société Mathématique de France, vol. 132 (2004), no. 1, 105-136. [pdf] [journal]

Stéphane Sabourau, Systoles des surfaces plates singulières de genre deux.
Mathematische Zeitschrift, vol. 247 (2004), no. 4, 693-709. [pdf] [journal]