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Nessim Sibony

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Nessim Sibony (born 1947) is a French mathematician, specializing in the theory of several complex variables. He is a professor at the University of Paris-Sud in Orsay.

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Nessim sibony serigraphs from the art of nessim sibony


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.

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.

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 P k ), 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

    Nessim Sibony Wikipedia