Jean-Pierre Aubin

Jean-Pierre Aubin (born February 19, 1939 in Abidjan , Ivory Coast ) is a French mathematician .

Life

Aubin was a research engineer at the Électricité de France from 1961 to 1966 and from 1965 Maître de conférences at the Faculté de Science in Lyon . In 1967 he received his doctorate from the University of Paris under Jacques-Louis Lions (Approximation des espaces de distributions et des opérateurs différentiels) and in the same year became Associate Professor at Purdue University , but returned to France in 1969, where he became Professor at the University of Paris- Dauphine and at the same time Maître de conférences at the École polytechnique . In 1996 he founded the Center de Recherche Viabilité, Jeux, Contrôle at the University of Paris-Dauphine, which he directed until 2000. In 2004 he retired from the University of Paris-Dauphine. Since 2004 he has been a researcher at the independent laboratory LASTRE (Laboratoire d'Applications des Systèmes Tychastiques Régulés), which he founded with Patrick Saint-Pierre, and since 2006 he has been a partner and co-founder of VIMADES (Viability, Markets, Automatics and Decisions). He was visiting scholar at the University of Montreal , the SISSA in Trieste , the Scuola Normale Superiore in Pisa , the University of Wisconsin , the University of California, Berkeley .

Aubin dealt with numerics of partial differential equations (use of finite element methods in the approximation of Sobolew spaces, functional numerical analysis ) and nonlinear functional analysis with application in mathematical economics. He is the founder of the Viability Theory for studying the development of complex dynamic systems in unsafe environments. He worked with the Polish-born Hélène Frankowska (control theory), who received her doctorate in 1984, and Patrick Saint-Pierre (implementation in algorithms). With Arrigo Cellina he wrote a monograph on differential inclusions (generalized ordinary differential equations with set-valued functions).

From 1982 to 1985 he was president of the Institut Henri Poincaré , in whose reorganization in the 1980s he played a major role and in whose journal Annales he founded a new series on nonlinear analysis. He was the founder and director (1970–1973, 1977–1980) of the research institute CEREMADE (Center de Recherche de Mathématiques de la Décision) in Paris, which was supposed to establish mathematical economics in France at universities.

Fonts

• Applied Viability Theory. Regulation of Viable and Optimal Evolutions, Springer-Verlag
• Mutational and morphological analysis: tools for shape regulation and morphogenesis, Birkhäuser 2000
• Dynamic economic theory: a viability approach, Springer-Verlag 1997
• Neural networks and qualitative physics: a viability approach, Cambridge University Press 1996
• Viability theory, Birkhäuser 1991, review by Berkovitz, Bulletin AMS 1994
• with Hélène Frankowska: Set-valued analysis, Birkhäuser 1990
• with Arrigo Cellina : Differential inclusions, Springer-Verlag, basic teaching of math. Sciences 1984
• with Ivar Ekeland : Applied nonlinear analysis, Wiley-Interscience 1984
• Mathematical methods of game and economic theory, North-Holland (Studies in Mathematics and its applications Vol. 7), 1979, 1982
• Approximation of elliptic boundary-value problems, Wiley-Interscience 1972
• Applied functional analysis, Wiley Interscience. 1979, 2nd edition 2000
• Optima and equilibria, Springer-Verlag, 1993, 1998
• Initiation à l'analyse appliquée, Masson 1994
• Exercices d'analysis non linéaire, Masson 1987
• Explicit methods of optimization, Dunod, 1985
• Applied abstract analysis, Wiley-Interscience 1977
• La mort du devin, l'émergence du démiurge. Essai sur la contingence et la viabilité des systèmes, Beauchesne

Web links

• Homepage with a description of his work
• Portrait at the University of Berkeley
• Literature by and about Jean-Pierre Aubin in the SUDOC catalog (Association of French University Libraries)