Nessim Sibony
Nessim Sibony (born 1947[1]) is a French mathematician, specializing in the theory of several complex variables. He is a professor at the University of Paris-Sud in Orsay.
Biography
Sibony received in 1974 his PhD from the University of Paris-Süd with thesis Problèmes de prolongement analytique et d'approximation polynômiale pondérée. His research has dealt with complex dynamics in several variables, including collaboration with John Erik Fornæss with Fatou-Julia theory in 2 complex variables.
Independently of Adrien Douady and John H. Hubbard, Sibony proved in the 1980s that the Mandelbrot set is locally connected.[2]
In 2009 he received the Sophie Germain Prize. In 1990 he was an Invited Speaker with talk Some recent results on weakly pseudoconvex domains at the ICM in Kyōto.[3]
Selected publications
- with Dierk Schleicher, Eric Bedford, Tien-Cuong Dinh, Marco Brunella, Marco Abate Holomorphic dynamical systems, Lectures at CIME (Cetraro 2008, in Sibony, Dinh Dynamics in several complex variables: Endomorphisms of projective spaces and polynomial like mappings), Springer Verlag, Lecturenotes in Mathematics, vol. 1998, 2010
- with Dominique Cerveau, Étienne Ghys, Jean-Christophe Yoccoz Complex Dynamics and Geometry, SMF/AMS Texts and Monographs vol. 10, 2003 (in von Sibony: Dynamics of rational maps on ), French edition SMF 1999 (Panoramas et Synthèses, vol. 8)
- with Julien Duval Polynomial convexity, rational convexity and currents. Université de Paris-Sud, Département de mathématiques, 1994.
- Quelques problemes de prolongement de courants en analyse complexe, Duke Mathematical Journal, vol. 52, 1985, pp. 157-197
References
- ↑ biographical information from Jean-Paul Pier (ed.) Developments of Mathematics 1950-2000, Birkhäuser, 2000, p. 711 (Kiselman Plurisubharmonic functions and potential theory in several complex variables)
- ↑ Mandelbrot Fractals and Chaos: the Mandelbrot set and beyond, Springer 2004, p. 35
- ↑ Sibony, Nessim (1991). "Some recent results on weakly pseudo convex domains" (PDF). Proceedings of the ICM, Tokyo. Mathematical Society: 943–950.