Biasco, Luca; Chierchia, Luigi On the measure of KAM tori in two degrees of freedom. (English) Zbl 07273490 Discrete Contin. Dyn. Syst. 40, No. 12, 6635-6648 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J39 37J35 70H08 70K43 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Discrete Contin. Dyn. Syst. 40, No. 12, 6635--6648 (2020; Zbl 07273490) Full Text: DOI
Biasco, L.; Chierchia, L. On the topology of nearly-integrable Hamiltonians at simple resonances. (English) Zbl 07211423 Nonlinearity 33, No. 7, 3526-3567 (2020). MSC: 37J39 37J35 37J40 70H08 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Nonlinearity 33, No. 7, 3526--3567 (2020; Zbl 07211423) Full Text: DOI
Chierchia, L.; Koudjinan, C. E. V. I. Arnold’s “Pointwise” KAM theorem. (English) Zbl 1435.37085 Regul. Chaotic Dyn. 24, No. 6, 583-606 (2019). MSC: 37J40 37J06 37J25 70H08 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. E. Koudjinan}, Regul. Chaotic Dyn. 24, No. 6, 583--606 (2019; Zbl 1435.37085) Full Text: DOI
Chierchia, L.; Faraggiana, M. A.; Guzzo, M. On steepness of 3-jet non-degenerate functions. (English) Zbl 1432.34076 Ann. Mat. Pura Appl. (4) 198, No. 6, 2151-2165 (2019). MSC: 34D20 37J40 PDF BibTeX XML Cite \textit{L. Chierchia} et al., Ann. Mat. Pura Appl. (4) 198, No. 6, 2151--2165 (2019; Zbl 1432.34076) Full Text: DOI
Biasco, L.; Chierchia, L. Explicit estimates on the measure of primary KAM tori. (English) Zbl 06837511 Ann. Mat. Pura Appl. (4) 197, No. 1, 261-281 (2018). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Ann. Mat. Pura Appl. (4) 197, No. 1, 261--281 (2018; Zbl 06837511) Full Text: DOI
Guzzo, M.; Chierchia, L.; Benettin, G. The steep Nekhoroshev’s theorem. (English) Zbl 1337.37038 Commun. Math. Phys. 342, No. 2, 569-601 (2016). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J25 37J40 70F15 70E50 70H05 PDF BibTeX XML Cite \textit{M. Guzzo} et al., Commun. Math. Phys. 342, No. 2, 569--601 (2016; Zbl 1337.37038) Full Text: DOI
Biasco, Luca; Chierchia, Luigi On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems. (English) Zbl 1361.37059 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 4, 423-432 (2015). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 4, 423--432 (2015; Zbl 1361.37059) Full Text: DOI
Chierchia, Luigi; Pinzari, Gabriella Metric stability of the planetary \(N\)-body problem. (English) Zbl 1373.70009 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 547-570 (2014). MSC: 70F10 70F15 70H08 70K43 70H12 70K45 70E55 34C20 34C27 34C29 34D10 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{G. Pinzari}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 547--570 (2014; Zbl 1373.70009)
Chierchia, L. Periodic solutions of the planetary \(N\)-body problem. (English) Zbl 1302.70028 Jensen, Arne (ed.), XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6–11, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4449-23-6/hbk; 978-981-4449-25-0/ebook). 269-280 (2014). MSC: 70F10 PDF BibTeX XML Cite \textit{L. Chierchia}, in: XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6--11, 2012. Hackensack, NJ: World Scientific. 269--280 (2014; Zbl 1302.70028) Full Text: DOI
Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). (English) Zbl 1326.37040 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 25, No. 3, 293-299 (2014). MSC: 37J40 34D20 70H08 PDF BibTeX XML Cite \textit{M. Guzzo} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 25, No. 3, 293--299 (2014; Zbl 1326.37040) Full Text: DOI arXiv
Antognini, Francesco; Biasco, Luca; Chierchia, Luigi The spin-orbit resonances of the solar system: a mathematical treatment matching physical data. (English) Zbl 1302.70034 J. Nonlinear Sci. 24, No. 3, 473-492 (2014). MSC: 70F15 70F40 70E20 70G70 70H09 70H12 34C23 34C25 34C60 34D10 PDF BibTeX XML Cite \textit{F. Antognini} et al., J. Nonlinear Sci. 24, No. 3, 473--492 (2014; Zbl 1302.70034) Full Text: DOI arXiv
Chierchia, Luigi; Pinzari, Gabriella Deprit’s reduction of the nodes revisited. (English) Zbl 1270.70035 Celest. Mech. Dyn. Astron. 109, No. 3, 285-301 (2011). MSC: 70F10 37N05 70F15 70H05 70H15 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{G. Pinzari}, Celest. Mech. Dyn. Astron. 109, No. 3, 285--301 (2011; Zbl 1270.70035) Full Text: DOI
Chierchia, Luigi; Pinzari, Gabriella Planetary Birkhoff normal forms. (English) Zbl 1320.70009 J. Mod. Dyn. 5, No. 4, 623-664 (2011). MSC: 70F10 70F15 37J40 37N05 70K45 70M20 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{G. Pinzari}, J. Mod. Dyn. 5, No. 4, 623--664 (2011; Zbl 1320.70009) Full Text: DOI
Chierchia, Luigi; Pinzari, Gabriella The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori. (English) Zbl 1316.70010 Invent. Math. 186, No. 1, 1-77 (2011). MSC: 70F10 70H33 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{G. Pinzari}, Invent. Math. 186, No. 1, 1--77 (2011; Zbl 1316.70010) Full Text: DOI
Chierchia, Luigi; Pinzari, Gabriella Properly-degenerate KAM theory (following V. I. Arnold). (English) Zbl 1282.37033 Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 545-578 (2010). MSC: 37J40 70F10 70F15 70H08 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{G. Pinzari}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 545--578 (2010; Zbl 1282.37033) Full Text: DOI
Chierchia, L. Meeting Jürgen Moser. (English) Zbl 1229.37004 Regul. Chaotic Dyn. 14, No. 1, 5-6 (2009). MSC: 37-03 01A70 PDF BibTeX XML Cite \textit{L. Chierchia}, Regul. Chaotic Dyn. 14, No. 1, 5--6 (2009; Zbl 1229.37004) Full Text: DOI
Chierchia, Luigi; Pusateri, Fabio Analytic Lagrangian tori for the planetary many-body problem. (English) Zbl 1173.37067 Ergodic Theory Dyn. Syst. 29, No. 3, 849-873 (2009). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37N05 70F10 70F15 37J40 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{F. Pusateri}, Ergodic Theory Dyn. Syst. 29, No. 3, 849--873 (2009; Zbl 1173.37067) Full Text: DOI arXiv
Biasco, Luca; Chierchia, Luigi Low-order resonances in weakly dissipative spin-orbit models. (English) Zbl 1178.34043 J. Differ. Equations 246, No. 11, 4345-4370 (2009). Reviewer: Li-Qun Chen (Shanghai) MSC: 34C25 70F15 34D10 34D45 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, J. Differ. Equations 246, No. 11, 4345--4370 (2009; Zbl 1178.34043) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Quasi-periodic attractors in celestial mechanics. (English) Zbl 1161.70012 Arch. Ration. Mech. Anal. 191, No. 2, 311-345 (2009). MSC: 70F15 37N05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Arch. Ration. Mech. Anal. 191, No. 2, 311--345 (2009; Zbl 1161.70012) Full Text: DOI
Chierchia, L. Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems. (English) Zbl 1229.37077 Regul. Chaotic Dyn. 13, No. 2, 130-139 (2008). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{L. Chierchia}, Regul. Chaotic Dyn. 13, No. 2, 130--139 (2008; Zbl 1229.37077) Full Text: DOI
Celletti, A.; Chierchia, L. Quasi-periodic attractors and spin-orbit resonances. (English) Zbl 1144.70009 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 56-63 (2008). MSC: 70H08 70F15 70F05 37N05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 56--63 (2008; Zbl 1144.70009)
Celletti, Alessandra; Chierchia, Luigi Measures of basins of attraction in spin-orbit dynamics. (English) Zbl 1342.70035 Celest. Mech. Dyn. Astron. 101, No. 1-2, 159-170 (2008). MSC: 70F15 37N05 70K99 70M20 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Celest. Mech. Dyn. Astron. 101, No. 1--2, 159--170 (2008; Zbl 1342.70035) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi KAM stability and celestial mechanics. (English) Zbl 1129.70012 Mem. Am. Math. Soc. 878, 134 p. (2007). MSC: 70F15 70F07 70H08 70H09 37N05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, KAM stability and celestial mechanics. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1129.70012) Full Text: DOI
Celletti, A.; Chierchia, L. KAM tori for \(n\)-body problems: a brief history. (English) Zbl 1152.70008 Celest. Mech. Dyn. Astron. 95, No. 1-4, 117-139 (2006). MSC: 70F10 37J40 37N05 70-03 70H09 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Celest. Mech. Dyn. Astron. 95, No. 1--4, 117--139 (2006; Zbl 1152.70008) Full Text: DOI
Biasco, L.; Chierchia, L.; Treschev, D. Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. (English) Zbl 1095.37027 J. Nonlinear Sci. 16, No. 1, 79-107 (2006). MSC: 37J40 37J20 37N05 70F15 PDF BibTeX XML Cite \textit{L. Biasco} et al., J. Nonlinear Sci. 16, No. 1, 79--107 (2006; Zbl 1095.37027) Full Text: DOI
Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico Corrigendum to: “Elliptic two-dimensional invariant tori for the planetary three-body problem”. (English) Zbl 1152.70304 Arch. Ration. Mech. Anal. 180, No. 3, 507-509 (2006). MSC: 70F07 37J40 37N05 70H08 PDF BibTeX XML Cite \textit{L. Biasco} et al., Arch. Ration. Mech. Anal. 180, No. 3, 507--509 (2006; Zbl 1152.70304) Full Text: DOI
Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico \(N\)-dimensional elliptic invariant tori for the planar \((N+1)\)-body problem. (English) Zbl 1096.70005 SIAM J. Math. Anal. 37, No. 5, 1560-1588 (2006). MSC: 70H08 70K43 37N05 37J40 34C27 70F10 PDF BibTeX XML Cite \textit{L. Biasco} et al., SIAM J. Math. Anal. 37, No. 5, 1560--1588 (2006; Zbl 1096.70005) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi KAM stability for a three-body problem of the Solar system. (English) Zbl 1085.70015 Z. Angew. Math. Phys. 57, No. 1, 33-41 (2006). MSC: 70H14 70F15 70F07 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Z. Angew. Math. Phys. 57, No. 1, 33--41 (2006; Zbl 1085.70015) Full Text: DOI
Biasco, Luca; Chierchia, Luigi Exponential stability for the resonant D’Alembert model of celestial mechanics. (English) Zbl 1067.70011 Discrete Contin. Dyn. Syst. 12, No. 4, 569-594 (2005). MSC: 70F15 70H14 37N05 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Discrete Contin. Dyn. Syst. 12, No. 4, 569--594 (2005; Zbl 1067.70011) Full Text: DOI
Chierchia, Luigi; Qian, Dingbian Moser’s theorem for lower dimensional tori. (English) Zbl 1144.37444 J. Differ. Equations 206, No. 1, 55-93 (2004). MSC: 37J40 34C27 70H08 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{D. Qian}, J. Differ. Equations 206, No. 1, 55--93 (2004; Zbl 1144.37444) Full Text: DOI
Chierchia, Luigi KAM lectures. (English) Zbl 1070.37044 Dynamical systems. Part I. Hamiltonian systems and celestial mechanics. Selected papers from the Research Trimester held in Pisa, Italy, February 4–April 26, 2002. Pisa: Scuola Normale Superiore. Pubblicazioni del Centro di Ricerca Matematica Ennio de Giorgi. Proceedings, 1-55 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J40 37-02 70H08 PDF BibTeX XML Cite \textit{L. Chierchia}, in: Dynamical systems. Part I. Hamiltonian systems and celestial mechanics. Selected papers from the Research Trimester held in Pisa, Italy, February 4--April 26, 2002. Pisa: Scuola Normale Superiore. 1--55 (2003; Zbl 1070.37044)
Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico Elliptic two-dimensional invariant tori for the planetary three-body problem. (English) Zbl 1036.70006 Arch. Ration. Mech. Anal. 170, No. 2, 91-135 (2003). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{L. Biasco} et al., Arch. Ration. Mech. Anal. 170, No. 2, 91--135 (2003; Zbl 1036.70006) Full Text: DOI
Biasco, Luca; Chierchia, Luigi On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom. (English) Zbl 1032.37039 Discrete Contin. Dyn. Syst. 9, No. 2, 233-262 (2003). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 37J25 37J40 37N05 70F15 70H08 70K43 34C29 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Discrete Contin. Dyn. Syst. 9, No. 2, 233--262 (2003; Zbl 1032.37039) Full Text: DOI
Chierchia, Luigi; Biasco, Luca Nekhoroshev stability for the D’Alambert problem of Celestial mechanics. (English) Zbl 1072.37061 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 13, No. 2, 85-89 (2002). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37N05 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{L. Biasco}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 13, No. 2, 85--89 (2002; Zbl 1072.37061)
Biasco, Luca; Chierchia, Luigi Effective Hamiltonian for the D’Alembert planetary model near a spin/orbit resonance. (English) Zbl 1083.70014 Celest. Mech. Dyn. Astron. 83, No. 1-4, 223-237 (2002). MSC: 70F15 70H06 70H14 37N05 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Celest. Mech. Dyn. Astron. 83, No. 1--4, 223--237 (2002; Zbl 1083.70014) Full Text: DOI
Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico Upper bounds on Arnold diffusion time via Mather theory. (English) Zbl 0986.37052 J. Math. Pures Appl., IX. Sér. 80, No. 1, 105-129 (2001). Reviewer: Vassili Gelfreich (Berlin) MSC: 37J40 37J45 PDF BibTeX XML Cite \textit{U. Bessi} et al., J. Math. Pures Appl. (9) 80, No. 1, 105--129 (2001; Zbl 0986.37052) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Hamiltonian stability of spin-orbit resonances in celestial mechanics. (English) Zbl 0999.70013 Celest. Mech. Dyn. Astron. 76, No. 4, 229-240 (2000). Reviewer: M.-C.Anisiu (Cluj-Napoca) MSC: 70F15 70H14 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Celest. Mech. Dyn. Astron. 76, No. 4, 229--240 (2000; Zbl 0999.70013) Full Text: DOI
Chierchia, Luigi; You, Jiangong KAM tori for 1D nonlinear wave equations with periodic boundary conditions. (English) Zbl 0956.37054 Commun. Math. Phys. 211, No. 2, 497-525 (2000). MSC: 37K55 37K10 35L70 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{J. You}, Commun. Math. Phys. 211, No. 2, 497--525 (2000; Zbl 0956.37054) Full Text: DOI
Chierchia, Luigi; Valdinoci, Enrico A note on the construction of Hamiltonian trajectories along heteroclinic chains. (English) Zbl 0936.37037 Forum Math. 12, No. 2, 247-255 (2000). Reviewer: J.Andres (Olomouc) MSC: 37J45 37J40 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{E. Valdinoci}, Forum Math. 12, No. 2, 247--255 (2000; Zbl 0936.37037) Full Text: DOI
Chierchia, L.; Falcolini, C. On the convergence of formal series containing small divisors. (English) Zbl 0957.37059 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 345-349 (1999). Reviewer: Jörg Härterich (Berlin) MSC: 37J40 34A25 70H08 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. Falcolini}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 345--349 (1999; Zbl 0957.37059)
Celletti, A.; Chierchia, L. Construction of stable periodic orbits for the spin-orbit problem of celestial mechanics. (English) Zbl 0988.37098 Regul. Chaotic Dyn. 3, No. 3, 107-121 (1998). Reviewer: Roland Wisk (Berlin) MSC: 37N05 70F15 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Regul. Chaotic Dyn. 3, No. 3, 107--121 (1998; Zbl 0988.37098) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi On the stability of realistic three-body problems. (English) Zbl 0881.70010 Commun. Math. Phys. 186, No. 2, 413-449 (1997). MSC: 70F07 70F15 37C75 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Commun. Math. Phys. 186, No. 2, 413--449 (1997; Zbl 0881.70010) Full Text: DOI
Chierchia, L.; Falcolini, C. A note on quasi-periodic solutions of some elliptic systems. (English) Zbl 0860.35027 Z. Angew. Math. Phys. 47, No. 2, 210-220 (1996). Reviewer: I.Ginchev (Varna) MSC: 35J60 35B10 35J45 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. Falcolini}, Z. Angew. Math. Phys. 47, No. 2, 210--220 (1996; Zbl 0860.35027) Full Text: DOI
Chierchia, L.; Falcolini, C. Compensations in small divisor problems. (English) Zbl 0847.58026 Commun. Math. Phys. 175, No. 1, 135-160 (1996). MSC: 37J99 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. Falcolini}, Commun. Math. Phys. 175, No. 1, 135--160 (1996; Zbl 0847.58026) Full Text: DOI
Chierchia, Luigi Arnold instability for nearly-integrable analytic Hamiltonian systems. (English) Zbl 0951.37036 Ambrosetti, A. (ed.) et al., Variational and local methods in the study of Hamiltonian systems. Proceedings of the workshop, Trieste, Italy, October 24-28, 1994 and the school, Trieste, Italy, 1994. Singapore: World Scientific. 17-33 (1995). Reviewer: Messoud Efendiev (Berlin) MSC: 37K45 70H08 37K10 37C55 70H14 PDF BibTeX XML Cite \textit{L. Chierchia}, in: Variational and local methods in the study of Hamiltonian systems. Proceedings of the workshop, Trieste, Italy, October 24--28, 1994 and the school, Trieste, Italy, 1994. Singapore: World Scientific. 17--33 (1995; Zbl 0951.37036)
Celletti, Alessandra; Chierchia, Luigi A constructive theory of Lagrangian tori and computer-assisted applications. (English) Zbl 0820.58051 Jones, Christopher K. R. T. (ed.) et al., Dynamics reported. Expositions in dynamical systems. New series. Vol. 4. Berlin: Springer-Verlag. 60-129 (1995). Reviewer: J.Andres (Olomouc) MSC: 37J40 70F15 34C27 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, in: Dynamics reported. Expositions in dynamical systems. New series. Vol. 4. Berlin: Springer-Verlag. 60--129 (1995; Zbl 0820.58051)
Chierchia, Luigi; Perfetti, Paolo Second order Hamiltonian equations on \(\mathbb{T}^ \infty\) and almost- periodic solutions. (English) Zbl 0821.34043 J. Differ. Equations 116, No. 1, 172-201 (1995). Reviewer: Ding Tongren (Beijing) MSC: 34C27 37J99 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{P. Perfetti}, J. Differ. Equations 116, No. 1, 172--201 (1995; Zbl 0821.34043) Full Text: DOI
Chierchia, L.; Falcolini, C. A direct proof of a theorem by Kolmogorov in Hamiltonian systems. (English) Zbl 0836.34040 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 4, 541-593 (1994). Reviewer: H.Rüßmann (Mainz) MSC: 34C27 34D05 34A25 37J99 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. Falcolini}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 4, 541--593 (1994; Zbl 0836.34040) Full Text: Numdam EuDML
Chierchia, Luigi; Perfetti, Paolo Maximal almost-periodic solutions for Lagrangian equations on infinite dimensional tori. (English) Zbl 0796.34028 Kuksin, S. (ed.) et al., Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 12, 203-212 (1994). Reviewer: P.F.Moson (Budapest) MSC: 34C27 37J99 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{P. Perfetti}, Prog. Nonlinear Differ. Equ. Appl. 12, 203--212 (1994; Zbl 0796.34028)
Chierchia, Luigi On the stability problem for nearly-integrable Hamiltonian systems. (English) Zbl 0789.58036 Kuksin, S. (ed.) et al., Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 12, 35-46 (1994). MSC: 37J99 37J35 37K10 PDF BibTeX XML Cite \textit{L. Chierchia}, Prog. Nonlinear Differ. Equ. Appl. 12, 35--46 (1994; Zbl 0789.58036)
Chierchia, L.; Gallavotti, G. Drift and diffusion in phase space. (English) Zbl 1010.37039 Ann. Inst. Henri Poincaré, Phys. Théor. 60, No. 1, 1-144 (1994). MSC: 37K05 37K55 37K45 70F15 70H05 37N05 37J40 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{G. Gallavotti}, Ann. Inst. Henri Poincaré, Phys. Théor. 60, No. 1, 1--144 (1994; Zbl 1010.37039) Full Text: Numdam EuDML
Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. Natural boundaries for area-preserving twist maps. (English) Zbl 0892.58062 J. Stat. Phys. 66, No. 5-6, 1613-1630 (1992). MSC: 37F99 41A21 37C75 PDF BibTeX XML Cite \textit{A. Berretti} et al., J. Stat. Phys. 66, No. 5--6, 1613--1630 (1992; Zbl 0892.58062) Full Text: DOI
Chierchia, L. On a result by J. N. Mather concerning invariant sets for area-preserving twist maps. (English) Zbl 0731.58059 Z. Angew. Math. Phys. 42, No. 1, 80-89 (1991). Reviewer: R.Cowen (Gaborone) MSC: 37C80 37B99 PDF BibTeX XML Cite \textit{L. Chierchia}, Z. Angew. Math. Phys. 42, No. 1, 80--89 (1991; Zbl 0731.58059) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Invariant curves for area-preserving twist maps far from integrable. (English) Zbl 0943.37509 J. Stat. Phys. 65, No. 3-4, 617-643 (1991). MSC: 37J40 34C99 70H05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, J. Stat. Phys. 65, No. 3--4, 617--643 (1991; Zbl 0943.37509) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics. (English) Zbl 0820.70004 Computer aided proofs in analysis, Proc. IMA Participating Inst. Conf., Cincinnati/OH (USA), IMA Vol. Math. Appl. 28, 43-51 (1991). MSC: 70-08 70H99 37J99 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, IMA Vol. Math. Appl. 28, 43--51 (1991; Zbl 0820.70004)
Chierchia, Luigi Birth and death of invariant tori for Hamiltonian systems. (English) Zbl 0739.58017 The geometry of Hamiltonian systems, Proc. Workshop, Berkeley/CA (USA) 1989, Math. Sci. Res. Inst. Publ. 22, 73-80 (1991). Reviewer: M.Puta (Timişoara) MSC: 37J99 37C75 PDF BibTeX XML
Berretti, Alberto; Chierchia, Luigi On the complex analytic structure of the golden invariant curve for the standard map. (English) Zbl 0732.58014 Nonlinearity 3, No. 1, 39-44 (1990). Reviewer: H.Kriete (Bochum) MSC: 37E99 30D05 41A21 PDF BibTeX XML Cite \textit{A. Berretti} and \textit{L. Chierchia}, Nonlinearity 3, No. 1, 39--44 (1990; Zbl 0732.58014) Full Text: DOI
Chierchia, Luigi A direct method for constructing solutions of the Hamilton-Jacobi equation. (English) Zbl 0726.70009 Meccanica 25, No. 4, 246-252 (1990). Reviewer: Á.Bosznay (Budapest) MSC: 70H20 70-08 PDF BibTeX XML Cite \textit{L. Chierchia}, Meccanica 25, No. 4, 246--252 (1990; Zbl 0726.70009) Full Text: DOI
Benettin, Giancarlo; Chierchia, Luigi; Fassò, Francesco Exponential estimates on the one-dimensional Schrödinger equation with bounded analytic potential. (English) Zbl 0713.34054 Ann. Inst. Henri Poincaré, Phys. Théor. 51, No. 1, 45-66 (1989). Reviewer: S.Lenhart MSC: 34D10 34L40 PDF BibTeX XML Cite \textit{G. Benettin} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 51, No. 1, 45--66 (1989; Zbl 0713.34054) Full Text: Numdam EuDML
Chierchia, L.; Zehnder, E. Asymptotic expansions of quasiperiodic solutions. (English) Zbl 0695.34040 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 16, No. 2, 245-258 (1989). Reviewer: L.Chierchia MSC: 34C27 35C20 34C15 37-XX 34D30 30B10 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{E. Zehnder}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 16, No. 2, 245--258 (1989; Zbl 0695.34040) Full Text: Numdam EuDML
Chierchia, Luigi An effective theory of KAM surfaces. (English) Zbl 0744.58017 Nonlinear dynamics, Proc. Conf., Bologna/Italy 1988, 191-199 (1989). Reviewer: M.Puta (Timişoara) MSC: 37J99 PDF BibTeX XML Cite \textit{L. Chierchia}, in: Conference on nonlinear dynamics, Bologna, Italy, 30 May-3 June 1988. Singapore etc.: World Scientific. 191--199 (1989; Zbl 0744.58017)
Celletti, Alessandra; Chierchia, Luigi Construction of analytic KAM-surfaces and effective stability bounds. (English) Zbl 0657.58032 Commun. Math. Phys. 118, No. 1, 119-161 (1988). Reviewer: A.Givental’ MSC: 37J40 37C55 70H15 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Commun. Math. Phys. 118, No. 1, 119--161 (1988; Zbl 0657.58032) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Rigorous estimates for a computer-assisted KAM theory. (English) Zbl 0651.58011 J. Math. Phys. 28, 2078-2086 (1987). Reviewer: H.Rüßmann MSC: 37J99 37C55 70H05 37J40 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, J. Math. Phys. 28, 2078--2086 (1987; Zbl 0651.58011) Full Text: DOI
Chierchia, L.; Ercolani, N.; McLaughlin, D. On the weak limit of rapidly oscillating waves. (English) Zbl 0646.73016 Duke Math. J. 55, 759-764 (1987). Reviewer: V.Rǎsvan MSC: 74J99 35Q99 74J20 PDF BibTeX XML Cite \textit{L. Chierchia} et al., Duke Math. J. 55, 759--764 (1987; Zbl 0646.73016) Full Text: DOI
Chierchia, Luigi Absolutely continuous spectra of quasiperiodic Schrödinger operators. (English) Zbl 0642.34018 J. Math. Phys. 28, 2891-2898 (1987). Reviewer: L.Chierchia MSC: 34L99 35J10 37C55 34K99 47A10 PDF BibTeX XML Cite \textit{L. Chierchia}, J. Math. Phys. 28, 2891--2898 (1987; Zbl 0642.34018) Full Text: DOI
Chierchia, L. Quasi-periodic Schrödinger operators in one dimension, absolutely continuous spectra, Bloch waves, and integrable Hamiltonian systems. (English) Zbl 0632.35057 University of New York. 132 p. (1986). MSC: 35Q99 35J10 34B30 35P05 PDF BibTeX XML