Luigi Chierchia

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Luigi Chierchia (* 1957 ) is an Italian mathematician who deals with nonlinear differential equations, mathematical physics and dynamic systems (celestial mechanics, Hamiltonian systems).

Chierchia studied physics and mathematics at the University of Rome La Sapienza (Laurea degree in 1981) and received her doctorate in 1985 from the Courant Institute of New York University under Henry P. McKean (Quasi-Periodic Schrodinger Operators in One Dimension, Absolutely Continuous Spectra, Bloch Waves and integrable Hamiltonian Systems). As a post-doctoral student , he was at the University of Arizona , ETH Zurich and the École Polytechnique in Paris. Since 2002 he has been Professor of Mathematical Analysis at the University of Rome III .

With Fabio Pusateri and his doctoral student Gabriella Pinzari , he succeeded in extending the KAM theorem from the three-body problem to the n-body problem. He also dealt with further aspects of the KAM theory (invariant tori in the phase space of Hamiltonian systems and stability issues) and Arnold Diffusion, spectral theory of the quasi-periodic one-dimensional Schrödinger equation and analogues of the KAM theory for infinitely dimensional Hamiltonian systems and partial differential equations (almost periodic nonlinear wave equations).

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (with Gabriella Pinzari: Metric stability in the planetary n-body problem).

Fonts (selection)

  • with Alessandra Celletti : KAM stability and celestial mechanics, Memoirs AMS 2007
  • KAM-theory and celestial mechanics, in: Francoise, Naber, Tsou, Encyclopedia of Mathematical Physics, Elsevier, Volume 3, 2006, pp. 189-199.
  • Absolutely continuous spectra of quasiperiodic Schrödinger operators, Journal of Math. Physics, Volume 28, 1987, pp. 2891-2898.
  • with A. Celletti: Rigorous estimates for a computer-assisted KAM theory, Journal of Math. Physics, Volume 28, 1987, pp. 2078-2086.
  • with Giovanni Gallavotti : Drift and diffusion in phase space, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 60, 1994, pp. 1-144.
  • with C. Falcolini: A direct proof of a theorem by Kolmogorov in Hamiltonian systems, Annali Scuola Normale Sup. Pisa, Scienze Fisiche e Matematiche, XXI Fasc. 4, 1994, pp. 541-593.
  • with F. Pusateri: Analytic Lagrangian tori for the planetary many-body problem, Ergod. Th. & Dynam. Sys., Vol. 29, 2009, pp. 849-873.
  • with Pinzari: Properly-degenerate KAM-theory (following VI Arnold), Discrete Cont. Dyn. Syst., Ser. S 3, 2010, No. 4, pp. 545-578.
  • with Pinzari: Deprit's reduciton of the nodes revisited, Celestial Mech. Dyn. Astron., Volume 109, 2011, pp. 285-301.
  • with Pinzari: The planetary n-body problem: symplectic foliation, reductions and invariant tori, Inventiones Mathematicae, Volume 186, 2011, pp. 1-77.
  • with Pinzari: Planetary Birkhoff Normal Forms, J. Mod. Dyn., Volume 5, 2011, pp. 623–644.

Web links

Individual evidence

  1. ↑ Luigi Chierchia in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ H. Scott Dumas, The KAM story, World Scientific 2014, p. 154, Google Books
personal data
SURNAME Chierchia, Luigi
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH 1957