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Luigi Chierchia

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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.[3] 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.[4] 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,[5] and at the conference Dynamics, Equations and Applications in Kraków in 2019.[6]

Selected publications

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  • Celletti, Alessandra; Chierchia, Luigi (1987). "Rigorous estimates for a computer‐assisted KAM theory". Journal of Mathematical Physics. 28 (9): 2078–2086. Bibcode:1987JMP....28.2078C. doi:10.1063/1.527418.
  • Celletti, Alessandra; Chierchia, Luigi (1995). "A Constructive Theory of Lagrangian Tori and Computer-assisted Applications". Dynamics Reported. Vol. 4. pp. 60–129. doi:10.1007/978-3-642-61215-2_2. ISBN 978-3-642-64748-2.
  • Celletti, Alessandra; Chierchia, Luigi (1997). "On the Stability of Realistic Three-Body Problems". Communications in Mathematical Physics. 186 (2): 413–449. Bibcode:1997CMaPh.186..413C. doi:10.1007/s002200050115. S2CID 122101189.
  • Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico (2001). "Upper bounds on Arnold diffusion times via Mather theory". Journal de Mathématiques Pures et Appliquées. 80: 105–129. doi:10.1016/S0021-7824(00)01188-0. hdl:2108/16230.
  • Chierchia, Luigi (2003). "KAM lectures" (PDF). Dynamical Systems. Part I, Pubbl. Cent. Ric. Mat. Ennio Giorgi. 12: 1–55.
  • Celletti, Alessandra; Chierchia, Luigi (2005). "KAM Stability for a three-body problem of the Solar system". Zeitschrift für Angewandte Mathematik und Physik. 57 (1): 33–41. Bibcode:2005ZaMP...57...33C. doi:10.1007/s00033-005-0002-0. S2CID 55337124.
  • Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico (2006). "N-Dimensional Elliptic Invariant Tori for the Planar (N+1)-Body Problem". SIAM Journal on Mathematical Analysis. 37 (5): 1560–1588. doi:10.1137/S0036141004443646. hdl:2434/472851. S2CID 5353717.
  • Celletti, Alessandra; Chierchia, Luigi (2009). "Quasi-Periodic Attractors in Celestial Mechanics". Archive for Rational Mechanics and Analysis. 191 (2): 311–345. Bibcode:2009ArRMA.191..311C. doi:10.1007/s00205-008-0141-5. S2CID 55999349.
  • Chierchia, Luigi; Pinzari, Gabriella (2011). "The planetary N-body problem: Symplectic foliation, reductions and invariant tori". Inventiones Mathematicae. 186 (1): 1–77. Bibcode:2011InMat.186....1C. doi:10.1007/s00222-011-0313-z. S2CID 55578455.

References

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  1. ^ a b c "Luigi Chierchia, Professor of mathematical analysis (with CV, preprints, etc.)". Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre.
  2. ^ Chierchia, L. (2009). "Meeting Jürgen Moser" (PDF). Regular and Chaotic Dynamics. 14 (1): 5–6. Bibcode:2009RCD....14....5C. doi:10.1134/S156035470901002X. S2CID 121007793.
  3. ^ Luigi Chierchia at the Mathematics Genealogy Project
  4. ^ Dumas, H. Scott (2014). The KAM story. World Scientific. p. 154. ISBN 9789814556606.
  5. ^ Chierchia, Luigi; Pinzari, Gabriella (2014). "Metric stability of the planetary N–body problem" (PDF). Proceedings of the International Congress of Mathematicians. Vol. 3. pp. 547–570.
  6. ^ "DEA 2019 Invited Speakers". Retrieved 2023-03-15.
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