@article{ASNSP_1998_4_26_3_545_0, author = {Bonetto, Federico and Gallavotti, Giovanni and Gentile, Guido and Mastropietro, Vieri}, title = {Lindstedt series, ultraviolet divergences and {Moser's} theorem}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {545--593}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 26}, number = {3}, year = {1998}, mrnumber = {1635706}, zbl = {0931.37034}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1998_4_26_3_545_0/} }
TY - JOUR AU - Bonetto, Federico AU - Gallavotti, Giovanni AU - Gentile, Guido AU - Mastropietro, Vieri TI - Lindstedt series, ultraviolet divergences and Moser's theorem JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1998 SP - 545 EP - 593 VL - 26 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1998_4_26_3_545_0/ LA - en ID - ASNSP_1998_4_26_3_545_0 ER -
%0 Journal Article %A Bonetto, Federico %A Gallavotti, Giovanni %A Gentile, Guido %A Mastropietro, Vieri %T Lindstedt series, ultraviolet divergences and Moser's theorem %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1998 %P 545-593 %V 26 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1998_4_26_3_545_0/ %G en %F ASNSP_1998_4_26_3_545_0
Bonetto, Federico; Gallavotti, Giovanni; Gentile, Guido; Mastropietro, Vieri. Lindstedt series, ultraviolet divergences and Moser's theorem. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 3, pp. 545-593. http://www.numdam.org/item/ASNSP_1998_4_26_3_545_0/
[BG] Renormalization Group", Princeton University Press, Princeton, 1995. | MR | Zbl
- , "[CF] A direct proof of a theorem by Kolmogorov in Hamiltonians systems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (IV) 21 (1994), 541-593. | Numdam | MR | Zbl
- ,[E] Absolutely convergent series expansions for quasi-periodic motions, Math. Phy. Electron. J. 2 (1996). | MR | Zbl
,[G1] Renormalization theory and ultraviolet stability for scalar fields via renormalization group methods, Rev. Mod. Phys. 57 (1985), 471- 572. | MR
,[G2] Twistless KAM tori, Comm. Math. Phys. 164 (1994), 145-156. | MR | Zbl
,[G3] Invariant tori: a field theoretic point of view on Eliasson's work, In "Advances in Dynamical Systems and Quantum Physics", R. Figari (ed.), World Scientific, Singapore, 1995, pp. 117-132. | MR
,[GGM] Field theory and KAM tori, Math. Phy. Electron. J. 1 (1995). | MR | Zbl
- - ,[GG] Majorant series convergence for twistless KAM tori, Ergodic Theory Dynam. Systems 15 (1995), 857-869. | MR | Zbl
- ,[GM1] KAM theorem revisited, Phys. D 90 (1996), 225-234. | MR | Zbl
- ,[GM2] Tree expansion and multiscale analysis for KAM tori, Nonlinearity 8, (1995), 1159-1178. | MR | Zbl
- ,[GM3] Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics, A review with some applications, Rev. Math. Phys. 8 (1996), 393-444. | MR | Zbl
- ,[H] Difféomrphismes du cercles et rotations, Publ. Math. IHES 49 (1979), 1-233. | Numdam
,[HP] Graphical enumeration", Academic Press, New York, 1973. | MR | Zbl
- , "[K] On the preservation of conditionally periodic motions, Doklady Akademia Nauk SSSR 96 (1954), 527-530; english translation in , : Stochastic behavior in classical and quantum Hamiltonians, Lectures Notes in Physics 93, Springer, Berlin, 1979.
,[M1] On invariant curves of an area preserving mapping of the annulus, Nac. Akad. Wiss. Göttingen Math.-Phys. Kl. II, 1- 20, (1962). | MR | Zbl
,[M2] A rapidly convergent iteration method and nonlinear differential equations II, Ann. Scuola Norm. Sup. Pisa Cl. Sci (III) 20 (1966),499-535. | Numdam | MR
,[M3] Convergent series expansions for quasi-periodic motions, Math. Ann. 169 (1967), 136-176. | MR | Zbl
,[M4] On the construction of almost periodic solutions for ordinary differential equations, In "Proceedings of the International Conference of Functional Analysis and Related Topics", Tokyo (1969), pp. 60-67. | MR | Zbl
,[M5] Stable and Random Motions in Dynamical Systems, with special emphasis on Celestial Mechanics", Annals of Mathematical Studies 77, Princeton University Press, Princeton, 1973. | MR | Zbl
, "[Pö] Invariant manifolds of complex analytic mappings, In "Critical Phenomena, Random Systems, Gauge Theories", Les Houches, Session XLIII (1984), Vol. II, K. Osterwalder R. Stora (eds.), North Holland, 1986, pp. 949-964. | MR | Zbl
,[PV] Critical dynamics and diagrams, Phys. 33 (1988), 304-313. | MR | Zbl
- ,[S] Iterations of analytic functions, Ann. of Math. 43 (1942), 607- 612. | MR | Zbl
,[SW] Introduction to Fourier analysis on Euclidean spaces", Princeton University Press, Princeton, 1971. | MR | Zbl
- , "