Prof. LUIGI CHIERCHIA

QualificaProfessore Ordinario
Settore Scientifico DisciplinareMATH-03/A
Telefono0657338235
Cellulare aziendale87918
Emailluigi.chierchia@uniroma3.it
IndirizzoVia della Vasca Navale 84
Struttura/Afferenza
  • Dipartimento di Matematica e Fisica
Altre informazioniSito web personale
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Profilo INSEGNAMENTI Prodotti della ricerca Avvisi Ricevimento e materiale didattico

Contributo in Rivista

  • Global properties of generic real–analytic nearly–integrable Hamiltonian systems, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2024Link identifier #identifier_person_21927-1 Dettaglio
  • Isolated Diophantine Numbers, ARGENTIERI, FERNANDO; CHIERCHIA, LUIGI, , 2024Link identifier #identifier_person_178448-2 Dettaglio
  • Nineteen Fifty-Four: Kolmogorov’s New “Metrical Approach” to Hamiltonian Dynamics., CHIERCHIA, LUIGI; FASCITIELLO, ISABELLA, , 2024Link identifier #identifier_person_8610-3 Dettaglio
  • Complex Arnol'd - Liouville Maps, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2023Link identifier #identifier_person_33158-4 Dettaglio
  • Quasi-periodic motions in generic nearly-integrable mechanical systems, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2022Link identifier #identifier_person_70110-5 Dettaglio
  • V. I. Arnold's Global KAM Theorem and Geometric Measure Estimates, CHIERCHIA, LUIGI; KOUDJINAN, COMLAN EDMOND, , 2021Link identifier #identifier_person_107805-6 Dettaglio
  • On the measure of kam tori in two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2020Link identifier #identifier_person_163784-7 Dettaglio
  • On the topology of nearly-integrable Hamiltonians at simple resonances, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2020Link identifier #identifier_person_70145-8 Dettaglio
  • On steepness of 3-jet non-degenerate functions, CHIERCHIA, LUIGI; GUZZO, MASSIMILIANO, , 2019Link identifier #identifier_person_159529-9 Dettaglio
  • V. I. Arnold’s “Pointwise” KAM Theorem, CHIERCHIA, LUIGI, , 2019Link identifier #identifier_person_124520-10 Dettaglio
  • Explicit estimates on the measure of primary KAM tori, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2018Link identifier #identifier_person_69025-11 Dettaglio
  • The Steep Nekhoroshev’s Theorem, GUZZO, MASSIMILIANO; CHIERCHIA, LUIGI, , 2016Link identifier #identifier_person_81282-12 Dettaglio
  • On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2015Link identifier #identifier_person_109362-13 Dettaglio
  • The Spin-Orbit Resonances of the Solar System: A Mathematical Treatment Matching Physical Data, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2014Link identifier #identifier_person_69785-14 Dettaglio
  • The steep Nekhoroshev's Theorem and optimal stability exponents (an announcement), CHIERCHIA, LUIGI, , 2014Link identifier #identifier_person_162579-15 Dettaglio
  • Deprit's reduction of the nodes revisited, CHIERCHIA, LUIGI, , 2011Link identifier #identifier_person_196740-16 Dettaglio
  • Planetary Birkhoff normal forms, CHIERCHIA, LUIGI, , 2011Link identifier #identifier_person_27902-17 Dettaglio
  • The planetary N-body problem: Symplectic foliation, reductions and invariant tori, CHIERCHIA, LUIGI, , 2011Link identifier #identifier_person_60869-18 Dettaglio
  • Properly-degenerate KAM theory (following V.I. Arnold), CHIERCHIA, LUIGI, , 2010Link identifier #identifier_person_179952-19 Dettaglio
  • Analytic Lagrangian tori for the planetary manybody problem, CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_44647-20 Dettaglio
  • Low-order resonances in weakly dissipative spin-orbit models, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_21937-21 Dettaglio
  • Meeting Jürgen Moser, CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_184117-22 Dettaglio
  • Quasi-periodic attractors in celestial mechanics, CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_195761-23 Dettaglio
  • A. N. Kolmogorov's 1954 paper on nearly-integrable Hamiltonian systems. A comment on: "On conservation of conditionally periodic motions for a small change in Hamilton's function" [Dokl. Akad. Nauk SSSR (N.S.) 98 (1954), 527--530; MR0068687], CHIERCHIA, LUIGI, , 2008Link identifier #identifier_person_123133-24 Dettaglio
  • Kolmogorov's 1954 Paper on Nearly-Integrable Hamiltonian Systems, CHIERCHIA, LUIGI, , 2008Link identifier #identifier_person_92065-25 Dettaglio
  • Measures of Basins of Attraction in Spin-orbit Dynamics, CHIERCHIA, LUIGI, , 2008Link identifier #identifier_person_148290-26 Dettaglio
  • KAM stability and Celestial Mechanics, CHIERCHIA, LUIGI, , 2007Link identifier #identifier_person_45858-27 Dettaglio
  • $N$-dimensional elliptic invariant tori for the planar $(N+1)$-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_10660-28 Dettaglio
  • Corrigendum to: "Elliptic two-dimensional invariant tori for the planetary three-body problem", BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_172334-29 Dettaglio
  • Corrigendum to: Elliptic two-dimensional invariant tori for the planetary three-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_35312-30 Dettaglio
  • KAM tori for N-body problems (a brief history), CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_99358-31 Dettaglio
  • Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_57515-32 Dettaglio
  • Exponential stability for the resonant D'Alembert model of Celestial Mechanics, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2005Link identifier #identifier_person_130109-33 Dettaglio
  • KAM stability for a three-body problem of the Solar system, CHIERCHIA, LUIGI, , 2005Link identifier #identifier_person_161118-34 Dettaglio
  • Stability of nearly-integrable, degenerate Hamiltonian systems with two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2005Link identifier #identifier_person_159415-35 Dettaglio
  • Moser's theorem for lower dimensional tori, CHIERCHIA, LUIGI, , 2004Link identifier #identifier_person_165461-36 Dettaglio
  • Elliptic two-dimensional invariant tori for the planetary three-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2003Link identifier #identifier_person_186761-37 Dettaglio
  • Elliptic two-dimensional invariant torifor the planetary three-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2003Link identifier #identifier_person_37128-38 Dettaglio
  • On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2003Link identifier #identifier_person_84943-39 Dettaglio
  • Effective Hamiltonian for the d'Alembert planetary model near a spin/orbit resonance, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_109639-40 Dettaglio
  • Effective Hamiltonian for the D'AlembertPlanetary model near a spin/orbit Resonance, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_1045-41 Dettaglio
  • Nekhoroshev stability for the D'Alembert problem of celestial mechanics, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_140555-42 Dettaglio
  • Nekhoroshev stability for the D'Alembert problem of Celestial Mechanics, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_82349-43 Dettaglio
  • Upper bounds on Arnold diffusion times via Mather theory, BESSI, UGO; CHIERCHIA, LUIGI, , 2001Link identifier #identifier_person_1363-44 Dettaglio
  • A note on the construction of Hamiltonian trajectories along heteroclinic chains, CHIERCHIA, LUIGI, , 2000Link identifier #identifier_person_92079-45 Dettaglio
  • Hamiltonian stability of spin-orbit resonances in Celestial Mechanics, CHIERCHIA, LUIGI, , 2000Link identifier #identifier_person_138417-46 Dettaglio
  • KAM Tori for 1D Nonlinear Wave Equations with Periodic Boundary Conditions, CHIERCHIA, LUIGI, , 2000Link identifier #identifier_person_141647-47 Dettaglio
  • Construction of stable periodic orbits for the Spin-Orbit problem of Celestial Mechanics, CHIERCHIA, LUIGI, , 1998Link identifier #identifier_person_143397-48 Dettaglio
  • Erratum to: Drift and diffusion in phase space, CHIERCHIA, LUIGI, , 1998Link identifier #identifier_person_123896-49 Dettaglio
  • KAM stability estimates in CelestialMechanics, CHIERCHIA, LUIGI, , 1998Link identifier #identifier_person_35491-50 Dettaglio
  • On the stability of realistic three-body problems, CHIERCHIA, LUIGI, , 1997Link identifier #identifier_person_57772-51 Dettaglio
  • A note on Quasi--periodic solutionsof some elliptic systems, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1996Link identifier #identifier_person_101375-52 Dettaglio
  • Compensations in small divisor problems, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1996Link identifier #identifier_person_170926-53 Dettaglio
  • Second order Hamiltonian equations on $T^infty$ and almost-periodic solutions, CHIERCHIA, LUIGI, , 1995Link identifier #identifier_person_118354-54 Dettaglio
  • A Direct Proof of a Theorem by Kolmogorov in Hamiltonian Systems, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1994Link identifier #identifier_person_89838-55 Dettaglio
  • Drift and diffusion in phase space, CHIERCHIA, LUIGI, , 1994Link identifier #identifier_person_164601-56 Dettaglio
  • Natural boundaries for area-preserving twist maps, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1992Link identifier #identifier_person_55469-57 Dettaglio
  • Invariant curves for area-preservingtwist maps far from integrable, CHIERCHIA, LUIGI, , 1991Link identifier #identifier_person_108635-58 Dettaglio
  • On a result by J.N. Mather concerning invariant sets for area-preserving twist maps, CHIERCHIA, LUIGI, , 1991Link identifier #identifier_person_137666-59 Dettaglio
  • A direct method for the construction of solutions of the Hamilton-Jacobi equation, CHIERCHIA, LUIGI, , 1990Link identifier #identifier_person_196867-60 Dettaglio
  • On the complex analytic structure of thegolden-mean invariant curve for the standard map, CHIERCHIA, LUIGI, , 1990Link identifier #identifier_person_79749-61 Dettaglio
  • Asymptotic expansions of quasi-periodicmotions, CHIERCHIA, LUIGI, , 1989Link identifier #identifier_person_104522-62 Dettaglio
  • Exponential estimates on the one-dimensional Schroedinger equation with bounded analytic potential, CHIERCHIA, LUIGI, , 1989Link identifier #identifier_person_104174-63 Dettaglio
  • Construction of analytic KAM surfacesand effective stability bounds, CHIERCHIA, LUIGI, , 1988Link identifier #identifier_person_84212-64 Dettaglio
  • On rigorous stability results for low-dimensional KAM surfaces, CHIERCHIA, LUIGI, , 1988Link identifier #identifier_person_85190-65 Dettaglio
  • Absolutely continuous spectra of quasiperiodic Schroedinger operators, CHIERCHIA, LUIGI, , 1987Link identifier #identifier_person_176439-66 Dettaglio
  • On the weak limit of rapidly oscillating waves, CHIERCHIA, LUIGI, , 1987Link identifier #identifier_person_51518-67 Dettaglio
  • Rigorous estimates for a computer-assisted KAM theory, CHIERCHIA, LUIGI, , 1987Link identifier #identifier_person_74662-68 Dettaglio
  • Smooth prime integrals for quasi- integrable Hamiltonian systems, CHIERCHIA, LUIGI, , 1982Link identifier #identifier_person_68386-69 Dettaglio

Libro

  • CHIERCHIA, LUIGI, KAM lectures, pp. 1 56, 2003 Link identifier #identifier_person_62310-70Dettaglio
  • CHIERCHIA, LUIGI, A constructive theory of Lagrangian tori and computer-assisted applications, vol. 4, pp. 60 130, 1995 Link identifier #identifier_person_15084-71Dettaglio
  • CHIERCHIA, LUIGI, Quasi-periodic Schrödinger operators in one dimension, Absolutely continuous spectra, Bloch waves and integrable Hamiltonian systems, pp. 1 124, 1986 Link identifier #identifier_person_179584-72Dettaglio

Contributo in volume e atti di convegno

  • CHIERCHIA, LUIGI; PROCESI, MICHELA, Kolmogorov-Arnold-Moser (KAM) Theory for Finite and Infinite Dimensional Systems, pp. 1 45, 2018 Link identifier #identifier_person_24614-73Dettaglio
  • CHIERCHIA, LUIGI, THE PLANETARY N–BODY PROBLEM, vol. Vol. 6.119.55 Celestial Mechanics, pp. 256 286, 2017 Link identifier #identifier_person_53079-74Dettaglio
  • CHIERCHIA, LUIGI; PINZARI, GABRIELLA, Metric stability of the planetary N-body problem, vol. III, pp. 547 570, 2014 Link identifier #identifier_person_26906-75Dettaglio
  • CHIERCHIA, LUIGI, Periodic solutions of the planetary N-body problem, pp. 269 280, 2014 Link identifier #identifier_person_10909-76Dettaglio
  • CHIERCHIA, LUIGI, Kolmogorov-Arnold-Moser (KAM) theory, pp. 810 836, 2012 Link identifier #identifier_person_83336-77Dettaglio
  • CHIERCHIA, LUIGI, Quasi-periodic attractors and spin-orbit resonances, 2008 Link identifier #identifier_person_21422-78Dettaglio
  • CHIERCHIA, LUIGI, KAM theory and Celestial Mechanics, vol. 3, pp. 189 199, 2006 Link identifier #identifier_person_85659-79Dettaglio
  • CHIERCHIA, LUIGI; FALCOLINI, CORRADO, On the convergence of formal series containig small divisors, 1999 Link identifier #identifier_person_92640-80Dettaglio
  • CHIERCHIA, LUIGI; FALCOLINI, CORRADO, On the convergence of formal series containing small divisors, NATO ADVANCED STUDY INSTITUTES SERIES. SERIES C, MATHEMATICAL AND PHYSICAL SCIENCES, issn 0377-2071, vol. 533, pp. 345 349, 1999 Link identifier #identifier_person_33272-81Dettaglio
  • CHIERCHIA, LUIGI, Arnold Instability for nearly--integrable Hamiltonian systems, pp. 17 33, 1995 Link identifier #identifier_person_13018-82Dettaglio
  • CHIERCHIA, LUIGI, Maximal almost-periodic solutions for Lagrangian equations on infinite dimensional tori, 1994 Link identifier #identifier_person_125466-83Dettaglio
  • CHIERCHIA, LUIGI, On the stability problem for nearly-integrable Hamiltonian systems, 1994 Link identifier #identifier_person_189765-84Dettaglio
  • CHIERCHIA, LUIGI, A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics, 1991 Link identifier #identifier_person_18674-85Dettaglio
  • CHIERCHIA, LUIGI, Birth and death of invariant tori for Hamiltonian systems, 1991 Link identifier #identifier_person_176473-86Dettaglio
  • CHIERCHIA, LUIGI, An effective theory of KAM surfaces, 1989 Link identifier #identifier_person_176722-87Dettaglio
  • CHIERCHIA, LUIGI, A report on some new KAM estimates, 1987 Link identifier #identifier_person_158241-88Dettaglio