Research

I am interested in global Riemannian geometry and, more specifically, in the geometry and topology of systoles.
You can take a look at the systolic webpage, maintained by Misha Katz, for an up-to-date account on this subject.

Articles

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

• Karin Katz, Mikhail Katz, Stéphane Sabourau, Steven Shnider, Shmuel Weinberger, Relative systoles of relative-essential 2-complexes.
        Preprint. [pdf]

• Stéphane Sabourau, Local extremality of the Calabi-Croke sphere for the length of the shortest closed geodesic.
        Preprint. [pdf]

• Aris Daniilidis, Olivier Ley, Stéphane Sabourau, Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions.
        Preprint. [pdf]

• Florent Balacheff, Stéphane Sabourau, Diastolic inequalities and isoperimetric inequalities on surfaces.
        Annales Scientifiques de l'Ecole Normale Supérieure, to appear. [pdf]

• 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]