Raphaël Krikorian

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Raphaël Krikorian (born before 1996) is a French mathematician who studies dynamic systems and ergodic theory.

Krikorian received his doctorate in 1996 from Michael Robert Herman at the École Polytechnique (Réductibilité des systèmes produits croisés quasi-périodiques à valeurs dans des groupes compacts).

From 2001 to 2013 he was professor (Chargé de Cours) at the École Polytechnique . He is professor at the Laboratoire de Probabilités et Modèles Aléatoires (LPMA) of the CNRS, the Sorbonne and the University of Paris VII (Denis Diderot).

Krikorian is invited speaker at the International Congress of Mathematicians in Rio de Janeiro 2018. From 2008 to 2013 he was a junior member of the Institut Universitaire de France.

Krikorian deals, among other things, with KAM theory , Lyapunov exponents , Hamiltonian mechanics and quasi-periodic operators and co-cycles. In 2003 he and Artur Avila solved a problem for the almost periodic Mathieu operator, which was one of Simon's problems .

He is editor of the bulletin and the mémoires of the Societé Mathématique de France.

Fonts

  • Global density of reducible quasi-periodic cocycles on × SU (2), Annals of Mathematics, Volume 154, 2001, pp. 269-326
  • Reducibility, differentiable rigidity and Lyapunov exponents for quasi-periodic cocycles on T x SL (2, R) , Arxiv
  • with Artur Avila : Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles, Annals of Mathematics, Volume 164, 2006, pp. 911-940, Arxiv
  • with D. Dolgopyat: On simultaneous linearization of diffeomorphisms of the sphere, Duke Math. Jour., Volume 136, 2007, pp. 475-505
  • with Bassam Fayad : Exponential growth of product of matrices in SL (2, R), Nonlinearity, Volume 21, 2008, pp. 319–323
  • with B. Fayad: Rigidity results for quasi-periodic SL (2, R) cocycles, J. Mod. Dyn., Volume 3, 2009, pp. 497-510
  • with B. Fayad: Herman's last geometric theorem, Annales de l'Ecole Normale Supérieure (4), Volume 42, 2009, pp. 193-219
  • with Avila, Fayad: A KAM scheme for SL (2, R) cocycles with Liouvillean frequencies, Geom. and Funct. Anal., Vol. 21, 2011, pp. 1001-1019, Arxiv
  • with Eliasson, Fayad: KAM-tori near an analytic elliptic fixed point, Regular and Chaotic Dynamics, Volume 18, 2013, pp. 806–836, Arxiv
  • with Håkan Eliasson , B. Fayad: Around the stability of KAM tori, Duke Math. J., Volume 164, 2015, pp. 1733–1775, Arxiv
  • with Avila: Monotonic Cocycles, Arxiv 2013 , Inv. Math.

Web links

Individual evidence

  1. ↑ Raphaël Krikorian in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Avila, Krikorian, Reducibility or non-uniform hyperbolicity for quasiperiodic Schrodinger cocycles, Annals of Mathematics, Volume 164, 2006, pp. 911-940
personal data
SURNAME Krikorian, Raphaël
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH before 1996