Biasco, L.; Chierchia, L. Global properties of generic real-analytic nearly-integrable Hamiltonian systems. (English) Zbl 07797690 J. Differ. Equations 385, 325-361 (2024). MSC: 37J40 70H08 70K43 70K65 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, J. Differ. Equations 385, 325--361 (2024; Zbl 07797690) Full Text: DOI arXiv
Chierchia, Luigi; Koudjinan, Comlan E. V. I. Arnold’s “Global” KAM theorem and geometric measure estimates. (English) Zbl 1481.37065 Regul. Chaotic Dyn. 26, No. 1, 61-88 (2021). MSC: 37J40 37J35 37J25 70H08 70K43 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{C. E. Koudjinan}, Regul. Chaotic Dyn. 26, No. 1, 61--88 (2021; Zbl 1481.37065) Full Text: DOI arXiv
Biasco, Luca; Chierchia, Luigi On the measure of KAM tori in two degrees of freedom. (English) Zbl 1456.37064 Discrete Contin. Dyn. Syst. 40, No. 12, 6635-6648 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J39 37J35 70H08 70K43 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, Discrete Contin. Dyn. Syst. 40, No. 12, 6635--6648 (2020; Zbl 1456.37064) Full Text: DOI arXiv
Biasco, L.; Chierchia, L. On the topology of nearly-integrable Hamiltonians at simple resonances. (English) Zbl 1469.37047 Nonlinearity 33, No. 7, 3526-3567 (2020). Reviewer: Diogo Pinheiro (New York) MSC: 37J40 37J39 37J35 70H08 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, Nonlinearity 33, No. 7, 3526--3567 (2020; Zbl 1469.37047) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{C. E. Koudjinan}, Regul. Chaotic Dyn. 24, No. 6, 583--606 (2019; Zbl 1435.37085) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 1456.37063 Ann. Mat. Pura Appl. (4) 197, No. 1, 261-281 (2018). MSC: 37J40 70H08 70K43 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, Ann. Mat. Pura Appl. (4) 197, No. 1, 261--281 (2018; Zbl 1456.37063) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 arXiv
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 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{G. Pinzari}, Invent. Math. 186, No. 1, 1--77 (2011; Zbl 1316.70010) 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 PDFBibTeX XMLCite \textit{A. Celletti} and \textit{L. Chierchia}, Arch. Ration. Mech. Anal. 191, No. 2, 311--345 (2009; Zbl 1161.70012) 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 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{D. Qian}, J. Differ. Equations 206, No. 1, 55--93 (2004; Zbl 1144.37444) 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 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{C. Falcolini}, Commun. Math. Phys. 175, No. 1, 135--160 (1996; Zbl 0847.58026) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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, 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 PDFBibTeX XMLCite \textit{L. Chierchia}, J. Math. Phys. 28, 2891--2898 (1987; Zbl 0642.34018) Full Text: DOI