Yves F. Meyer

Ecole Normale Superieure de Cachan


Election Year: 2014
Primary Section: 32, Applied Mathematical Sciences
Secondary Section: 11, Mathematics
Membership Type: Foreign Associate

Biosketch

Yves Meyer is Professor Emeritus at Ecole Normale Superieure de Cachan, France. He was previously Professor at Universite Paris-Dauphine (1986- 1995), Professor at Ecole Polytechnique (1980-1986), and Professor at Universite Paris-Sud (1966-1980). Meyer is an alumnus from Ecole Normale Superieure. He is a Membre de l'Institut (Academie des Sciences de Paris), a foreign honorary member of the American Academy of Arts and Sciences,  and a foreign associate of the National Academy of Sciences. Yves Meyer was an invited speaker at the International Congress of Mathematicians in 1970 (Nizza), in 1983 (Warsaw), and in 1990 (Kyoto). He was an invited speaker at the International Congress of Mathematical Physics in 1988 (Swansea). He was awarded the Gauss Prize (ICM 2010, Hyderabad).

Research Interests

Yves Meyer research work sits between pure and applied mathematics. In his PhD thesis (Strasbourg, 1967) Meyer solved a problem raised by Lennart Carleson about strong Ditkin sets. After his PhD, Meyer moved on to number theory, more precisely to Diophantine approximations. This work led to his first major contribution : the theory of model sets, which paved the road to the mathematical theory of quasicrystals. It was later realized that some non-periodic patterns observed in chemical alloys, now generally known as quasicrystals, could be identified with specific model sets. Then in collaboration with Ronald Coifman and Alan McIntosh, Yves Meyer proved the boundedness of the Cauchy kernel on Lipschitz curves, a theorem which was conjectured by Alberto Calderon. Yves Meyer moved on to signal and image processing and, together with Ronald Coifman, Ingrid Daubechies, Alex Grossmann, Stephane Mallat, and Jean Morlet, participated to the wavelet revolution. Later on Yves Meyer launched a research program on the Navier-Stokes equations, in collaboration with his students Lorenzo Brandolese, Marco Cannone, Fabrice Planchon, and Pierre-Gilles Lemarie-Rieusset. Most recently, Yves Meyer has been active in the field of irregular sampling, in collaboration with Basarab Matei and Alexander Olevskii.

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