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From Abel equations to Jacobian conjecture
Francoise, Jean-Pierre (Université P.-M. Curie. Laboratoire Jacques-Louis Lions)

Data: 2014
Resum: This is a survey relating several subjects bridging algebraic differential equations and their integrability, pertubative approach based on algebraic moments, the Jacobian conjecture and optimal transport of measures defined on the complement of an arrangement of hyperplanes. This text was written in relation with Jaume Llibre's 60th birthday and it touches several fields in which Jaume gave important contributions. It also contains some results wich have not yet been published before.
Nota: The author expresses his warmest thanks to the organizers of the conference "New Trends in Dynamical Systems" in Salou, from October 1-October 5, 2012.
Drets: Tots els drets reservats
Llengua: Anglès
Document: article ; recerca ; publishedVersion
Matèria: Algebraic moments ; Jacobian conjecture ; Hamilton-Jacobi equation
Publicat a: Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 209-219, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_Extra14_12

11 p, 302.7 KB

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