Luigi Chierchia Explained
Luigi Chierchia (born 1957) is an Italian mathematician, specializing in nonlinear differential equations, mathematical physics, and dynamical systems (celestial mechanics and Hamiltonian systems).[1]
Chierchia studied physics and mathematics at the Sapienza University of Rome with Laurea degree in 1981 with supervisor Giovanni Gallavotti.[2] After a year of military service, Chierchia studied mathematics at the Courant Institute of New York University and received his PhD there in 1985.[1] His doctoral dissertation Quasi-Periodic Schrödinger Operators in One Dimension, Absolutely Continuous Spectra, Bloch Waves and integrable Hamiltonian Systems was supervised by Henry P. McKean. As a postdoc, Chierchia studied at the University of Arizona, ETH Zurich and the École Polytechnique in Paris. Since 2002 he has been Professor of Mathematical Analysis at Roma Tre University.[1]
With Fabio Pusateri and his doctoral student Gabriella Pinzari, he succeeded in extending the KAM theorem for the three-body problem to the n-body problem.[3] In KAM theory, Chierchia addressed invariant tori in phase-space Hamiltonian systems and stability questions. He has also done research on Arnold diffusion, spectral theory of the quasiperiodic one-dimensional Schrödinger equation, and analogs of KAM theory in infinite-dimensional Hamiltonian systems and partial differential equations (almost periodic nonlinear wave equations).
He was an invited speaker (with Gabriella Pinzari) at the International Congress of Mathematicians in Seoul in 2014,[4] and at the conference Dynamics, Equations and Applications in Kraków in 2019.[5]
Selected publications
- 10.1063/1.527418. Rigorous estimates for a computer‐assisted KAM theory. Journal of Mathematical Physics. 28. 9. 2078–2086. 1987. Celletti. Alessandra. Chierchia. Luigi. 1987JMP....28.2078C.
- Book: 10.1007/978-3-642-61215-2_2. A Constructive Theory of Lagrangian Tori and Computer-assisted Applications. Dynamics Reported. 4. 60–129. 1995. Celletti. Alessandra. Chierchia. Luigi. 978-3-642-64748-2. https://books.google.com/books?id=zCH7CAAAQBAJ&pg=PA60.
- 10.1007/s002200050115. On the Stability of Realistic Three-Body Problems. Communications in Mathematical Physics. 186. 2. 413–449. 1997. Celletti. Alessandra. Chierchia. Luigi. 1997CMaPh.186..413C. 122101189 .
- 10.1016/S0021-7824(00)01188-0. Upper bounds on Arnold diffusion times via Mather theory. Journal de Mathématiques Pures et Appliquées. 80. 105–129. 2001. Bessi. Ugo. Chierchia. Luigi. Valdinoci. Enrico. 2108/16230. free.
- Chierchia, Luigi. KAM lectures. Dynamical Systems. Part I, Pubbl. Cent. Ric. Mat. Ennio Giorgi. 12. 2003. 1–55.
- 10.1007/s00033-005-0002-0. KAM Stability for a three-body problem of the Solar system. Zeitschrift für Angewandte Mathematik und Physik. 57. 1. 33–41. 2005. Celletti. Alessandra. Chierchia. Luigi. 2005ZaMP...57...33C. 55337124 .
- 10.1137/S0036141004443646. N-Dimensional Elliptic Invariant Tori for the Planar (N+1)-Body Problem. SIAM Journal on Mathematical Analysis. 37. 5. 1560–1588. 2006. Biasco. Luca. Chierchia. Luigi. Valdinoci. Enrico. 2434/472851. 5353717 . free.
- 10.1007/s00205-008-0141-5. Quasi-Periodic Attractors in Celestial Mechanics. Archive for Rational Mechanics and Analysis. 191. 2. 311–345. 2009. Celletti. Alessandra. Chierchia. Luigi. 2009ArRMA.191..311C. 55999349 .
- 10.1007/s00222-011-0313-z. The planetary N-body problem: Symplectic foliation, reductions and invariant tori. Inventiones Mathematicae. 186. 1. 1–77. 2011. Chierchia. Luigi. Pinzari. Gabriella. 2011InMat.186....1C. 55578455 .
References
- Web site: Luigi Chierchia, Professor of mathematical analysis (with CV, preprints, etc.). Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre.
- Chierchia, L.. Meeting Jürgen Moser. Regular and Chaotic Dynamics. 14. 1. 2009. 5–6. 10.1134/S156035470901002X. 2009RCD....14....5C. 121007793 .
- Book: Dumas, H. Scott. The KAM story. World Scientific. 2014. 154. 9789814556606.
- Book: Chierchia, Luigi. Pinzari, Gabriella. Metric stability of the planetary N–body problem. Proceedings of the International Congress of Mathematicians. 2014. 3. 547–570. http://ricerca.mat.uniroma3.it/users/procesi/9-2.pdf.
- Web site: DEA 2019 Invited Speakers . 2023-03-15.
External links