Prof. LUIGI CHIERCHIA
Qualifica | Professore Ordinario |
Settore Scientifico Disciplinare | MATH-03/A |
Telefono | 0657338235 |
Cellulare aziendale | 87918 |
luigi.chierchia@uniroma3.it | |
Indirizzo | Via della Vasca Navale 84 |
Struttura/Afferenza |
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Altre informazioni | Sito web personale |
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Profilo
INSEGNAMENTI
Prodotti della ricerca
Avvisi
Ricevimento e materiale didattico
Per telefonare da un edificio dell'Ateneo all'altro SE il numero unico inizia con "06 5733xxxx" basta comporre le ultime quattro cifre del numero esteso.
Contributo in Rivista
- Global properties of generic real–analytic nearly–integrable Hamiltonian systems, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2024Link identifier #identifier_person_90988-1 Dettaglio
- Isolated Diophantine Numbers, ARGENTIERI, FERNANDO; CHIERCHIA, LUIGI, , 2024Link identifier #identifier_person_169074-2 Dettaglio
- Nineteen Fifty-Four: Kolmogorov’s New “Metrical Approach” to Hamiltonian Dynamics., CHIERCHIA, LUIGI; FASCITIELLO, ISABELLA, , 2024Link identifier #identifier_person_149131-3 Dettaglio
- Complex Arnol'd - Liouville Maps, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2023Link identifier #identifier_person_122284-4 Dettaglio
- Quasi-periodic motions in generic nearly-integrable mechanical systems, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2022Link identifier #identifier_person_23712-5 Dettaglio
- V. I. Arnold's Global KAM Theorem and Geometric Measure Estimates, CHIERCHIA, LUIGI; KOUDJINAN, COMLAN EDMOND, , 2021Link identifier #identifier_person_193333-6 Dettaglio
- On the measure of kam tori in two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2020Link identifier #identifier_person_143773-7 Dettaglio
- On the topology of nearly-integrable Hamiltonians at simple resonances, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2020Link identifier #identifier_person_122506-8 Dettaglio
- On steepness of 3-jet non-degenerate functions, CHIERCHIA, LUIGI; GUZZO, MASSIMILIANO, , 2019Link identifier #identifier_person_171086-9 Dettaglio
- V. I. Arnold’s “Pointwise” KAM Theorem, CHIERCHIA, LUIGI, , 2019Link identifier #identifier_person_83392-10 Dettaglio
- Explicit estimates on the measure of primary KAM tori, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2018Link identifier #identifier_person_64972-11 Dettaglio
- The Steep Nekhoroshev’s Theorem, GUZZO, MASSIMILIANO; CHIERCHIA, LUIGI, , 2016Link identifier #identifier_person_148216-12 Dettaglio
- On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2015Link identifier #identifier_person_71633-13 Dettaglio
- The Spin-Orbit Resonances of the Solar System: A Mathematical Treatment Matching Physical Data, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2014Link identifier #identifier_person_43683-14 Dettaglio
- The steep Nekhoroshev's Theorem and optimal stability exponents (an announcement), CHIERCHIA, LUIGI, , 2014Link identifier #identifier_person_121136-15 Dettaglio
- Deprit's reduction of the nodes revisited, CHIERCHIA, LUIGI, , 2011Link identifier #identifier_person_92540-16 Dettaglio
- Planetary Birkhoff normal forms, CHIERCHIA, LUIGI, , 2011Link identifier #identifier_person_159415-17 Dettaglio
- The planetary N-body problem: Symplectic foliation, reductions and invariant tori, CHIERCHIA, LUIGI, , 2011Link identifier #identifier_person_10208-18 Dettaglio
- Properly-degenerate KAM theory (following V.I. Arnold), CHIERCHIA, LUIGI, , 2010Link identifier #identifier_person_90174-19 Dettaglio
- Analytic Lagrangian tori for the planetary manybody problem, CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_11534-20 Dettaglio
- Low-order resonances in weakly dissipative spin-orbit models, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_24863-21 Dettaglio
- Meeting Jürgen Moser, CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_180132-22 Dettaglio
- Quasi-periodic attractors in celestial mechanics, CHIERCHIA, LUIGI, , 2009Link identifier #identifier_person_191242-23 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_147406-24 Dettaglio
- Kolmogorov's 1954 Paper on Nearly-Integrable Hamiltonian Systems, CHIERCHIA, LUIGI, , 2008Link identifier #identifier_person_158006-25 Dettaglio
- Measures of Basins of Attraction in Spin-orbit Dynamics, CHIERCHIA, LUIGI, , 2008Link identifier #identifier_person_76952-26 Dettaglio
- KAM stability and Celestial Mechanics, CHIERCHIA, LUIGI, , 2007Link identifier #identifier_person_72870-27 Dettaglio
- $N$-dimensional elliptic invariant tori for the planar $(N+1)$-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_105127-28 Dettaglio
- Corrigendum to: "Elliptic two-dimensional invariant tori for the planetary three-body problem", BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_133079-29 Dettaglio
- Corrigendum to: Elliptic two-dimensional invariant tori for the planetary three-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_110926-30 Dettaglio
- KAM tori for N-body problems (a brief history), CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_92174-31 Dettaglio
- Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2006Link identifier #identifier_person_77945-32 Dettaglio
- Exponential stability for the resonant D'Alembert model of Celestial Mechanics, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2005Link identifier #identifier_person_176075-33 Dettaglio
- KAM stability for a three-body problem of the Solar system, CHIERCHIA, LUIGI, , 2005Link identifier #identifier_person_167851-34 Dettaglio
- Stability of nearly-integrable, degenerate Hamiltonian systems with two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2005Link identifier #identifier_person_171867-35 Dettaglio
- Moser's theorem for lower dimensional tori, CHIERCHIA, LUIGI, , 2004Link identifier #identifier_person_144769-36 Dettaglio
- Elliptic two-dimensional invariant tori for the planetary three-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2003Link identifier #identifier_person_149591-37 Dettaglio
- Elliptic two-dimensional invariant torifor the planetary three-body problem, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2003Link identifier #identifier_person_102463-38 Dettaglio
- On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2003Link identifier #identifier_person_53808-39 Dettaglio
- Effective Hamiltonian for the d'Alembert planetary model near a spin/orbit resonance, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_163726-40 Dettaglio
- Effective Hamiltonian for the D'AlembertPlanetary model near a spin/orbit Resonance, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_13366-41 Dettaglio
- Nekhoroshev stability for the D'Alembert problem of celestial mechanics, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_18090-42 Dettaglio
- Nekhoroshev stability for the D'Alembert problem of Celestial Mechanics, BIASCO, LUCA; CHIERCHIA, LUIGI, , 2002Link identifier #identifier_person_18416-43 Dettaglio
- Upper bounds on Arnold diffusion times via Mather theory, BESSI, UGO; CHIERCHIA, LUIGI, , 2001Link identifier #identifier_person_24286-44 Dettaglio
- A note on the construction of Hamiltonian trajectories along heteroclinic chains, CHIERCHIA, LUIGI, , 2000Link identifier #identifier_person_48871-45 Dettaglio
- Hamiltonian stability of spin-orbit resonances in Celestial Mechanics, CHIERCHIA, LUIGI, , 2000Link identifier #identifier_person_198547-46 Dettaglio
- KAM Tori for 1D Nonlinear Wave Equations with Periodic Boundary Conditions, CHIERCHIA, LUIGI, , 2000Link identifier #identifier_person_122286-47 Dettaglio
- Construction of stable periodic orbits for the Spin-Orbit problem of Celestial Mechanics, CHIERCHIA, LUIGI, , 1998Link identifier #identifier_person_77636-48 Dettaglio
- Erratum to: Drift and diffusion in phase space, CHIERCHIA, LUIGI, , 1998Link identifier #identifier_person_64193-49 Dettaglio
- KAM stability estimates in CelestialMechanics, CHIERCHIA, LUIGI, , 1998Link identifier #identifier_person_151490-50 Dettaglio
- On the stability of realistic three-body problems, CHIERCHIA, LUIGI, , 1997Link identifier #identifier_person_156105-51 Dettaglio
- A note on Quasi--periodic solutionsof some elliptic systems, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1996Link identifier #identifier_person_78688-52 Dettaglio
- Compensations in small divisor problems, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1996Link identifier #identifier_person_4477-53 Dettaglio
- Second order Hamiltonian equations on $T^infty$ and almost-periodic solutions, CHIERCHIA, LUIGI, , 1995Link identifier #identifier_person_1305-54 Dettaglio
- A Direct Proof of a Theorem by Kolmogorov in Hamiltonian Systems, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1994Link identifier #identifier_person_156897-55 Dettaglio
- Drift and diffusion in phase space, CHIERCHIA, LUIGI, , 1994Link identifier #identifier_person_62277-56 Dettaglio
- Natural boundaries for area-preserving twist maps, CHIERCHIA, LUIGI; FALCOLINI, CORRADO, , 1992Link identifier #identifier_person_10818-57 Dettaglio
- Invariant curves for area-preservingtwist maps far from integrable, CHIERCHIA, LUIGI, , 1991Link identifier #identifier_person_124435-58 Dettaglio
- On a result by J.N. Mather concerning invariant sets for area-preserving twist maps, CHIERCHIA, LUIGI, , 1991Link identifier #identifier_person_85820-59 Dettaglio
- A direct method for the construction of solutions of the Hamilton-Jacobi equation, CHIERCHIA, LUIGI, , 1990Link identifier #identifier_person_132659-60 Dettaglio
- On the complex analytic structure of thegolden-mean invariant curve for the standard map, CHIERCHIA, LUIGI, , 1990Link identifier #identifier_person_192294-61 Dettaglio
- Asymptotic expansions of quasi-periodicmotions, CHIERCHIA, LUIGI, , 1989Link identifier #identifier_person_61929-62 Dettaglio
- Exponential estimates on the one-dimensional Schroedinger equation with bounded analytic potential, CHIERCHIA, LUIGI, , 1989Link identifier #identifier_person_16300-63 Dettaglio
- Construction of analytic KAM surfacesand effective stability bounds, CHIERCHIA, LUIGI, , 1988Link identifier #identifier_person_65117-64 Dettaglio
- On rigorous stability results for low-dimensional KAM surfaces, CHIERCHIA, LUIGI, , 1988Link identifier #identifier_person_139651-65 Dettaglio
- Absolutely continuous spectra of quasiperiodic Schroedinger operators, CHIERCHIA, LUIGI, , 1987Link identifier #identifier_person_179885-66 Dettaglio
- On the weak limit of rapidly oscillating waves, CHIERCHIA, LUIGI, , 1987Link identifier #identifier_person_39824-67 Dettaglio
- Rigorous estimates for a computer-assisted KAM theory, CHIERCHIA, LUIGI, , 1987Link identifier #identifier_person_127951-68 Dettaglio
- Smooth prime integrals for quasi- integrable Hamiltonian systems, CHIERCHIA, LUIGI, , 1982Link identifier #identifier_person_103179-69 Dettaglio
Libro
- CHIERCHIA, LUIGI, KAM lectures, pp. 1 56, 2003 Link identifier #identifier_person_68497-70Dettaglio
- CHIERCHIA, LUIGI, A constructive theory of Lagrangian tori and computer-assisted applications, vol. 4, pp. 60 130, 1995 Link identifier #identifier_person_79990-71Dettaglio
- 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_105814-72Dettaglio
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_148685-73Dettaglio
- CHIERCHIA, LUIGI, THE PLANETARY N–BODY PROBLEM, vol. Vol. 6.119.55 Celestial Mechanics, pp. 256 286, 2017 Link identifier #identifier_person_58354-74Dettaglio
- CHIERCHIA, LUIGI; PINZARI, GABRIELLA, Metric stability of the planetary N-body problem, vol. III, pp. 547 570, 2014 Link identifier #identifier_person_3494-75Dettaglio
- CHIERCHIA, LUIGI, Periodic solutions of the planetary N-body problem, pp. 269 280, 2014 Link identifier #identifier_person_153971-76Dettaglio
- CHIERCHIA, LUIGI, Kolmogorov-Arnold-Moser (KAM) theory, pp. 810 836, 2012 Link identifier #identifier_person_126854-77Dettaglio
- CHIERCHIA, LUIGI, Quasi-periodic attractors and spin-orbit resonances, 2008 Link identifier #identifier_person_33120-78Dettaglio
- CHIERCHIA, LUIGI, KAM theory and Celestial Mechanics, vol. 3, pp. 189 199, 2006 Link identifier #identifier_person_117212-79Dettaglio
- CHIERCHIA, LUIGI; FALCOLINI, CORRADO, On the convergence of formal series containig small divisors, 1999 Link identifier #identifier_person_5028-80Dettaglio
- 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_185641-81Dettaglio
- CHIERCHIA, LUIGI, Arnold Instability for nearly--integrable Hamiltonian systems, pp. 17 33, 1995 Link identifier #identifier_person_77422-82Dettaglio
- CHIERCHIA, LUIGI, Maximal almost-periodic solutions for Lagrangian equations on infinite dimensional tori, 1994 Link identifier #identifier_person_176817-83Dettaglio
- CHIERCHIA, LUIGI, On the stability problem for nearly-integrable Hamiltonian systems, 1994 Link identifier #identifier_person_79709-84Dettaglio
- CHIERCHIA, LUIGI, A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics, 1991 Link identifier #identifier_person_69489-85Dettaglio
- CHIERCHIA, LUIGI, Birth and death of invariant tori for Hamiltonian systems, 1991 Link identifier #identifier_person_133693-86Dettaglio
- CHIERCHIA, LUIGI, An effective theory of KAM surfaces, 1989 Link identifier #identifier_person_65966-87Dettaglio
- CHIERCHIA, LUIGI, A report on some new KAM estimates, 1987 Link identifier #identifier_person_128163-88Dettaglio