KAM theorem and quantum field theory

Communications in Mathematical Physics

Volumn 201, Issue 3, 1999, Pages 699-727

  Bricmont, Jean ^a   Gawȩdzki, Krzysztof ^b   Kupiainen, Antti ^c  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b CNRS   (France)

^c UNIVERSITY OF HELSINKI   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033243770     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050573     Document Type: Article

References (24)

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2. 1. Arnold, V.I.: Proof of A.N. Kolmogorov's theorem on the preservation of quasi-periodic motions under small perturbation of the Hamiltonian. Usp. Mat. Nauk 18, No. 5, 13-40 (1963) (in Russian); English transl.: Russ. Math. Surv. 18, No. 5, 9-36 (1963)
3. 2. Arnold, V.I.: Small denominators and problems of stability of motions in classical and celestial mechanics. Usp. Mat. Nauk 18, No. 6, 91-192 (1963) (in Russian); English transl.: Russ. Math. Surv. 18, No. 6, 85-192 (1963)
4. 2. Arnold, V.I.: Small denominators and problems of stability of motions in classical and celestial mechanics. Usp. Mat. Nauk 18, No. 6, 91-192 (1963) (in Russian); English transl.: Russ. Math. Surv. 18, No. 6, 85-192 (1963)
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11. 8. Eliasson, L. H.: Absolutely convergent series expansions for quasi periodic motions. Reports Department of Math., Univ. of Stockholm, Sweden, No. 2, 1-31 (1988). Published in MPEJ 2, No. 4, 1-33 (1996) (http://www.ma.utexas.edu/mpej/)
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24. 21. Shenker, S.J., Kadanoff, L.P.: Critical Behaviour of a KAM surface. J. Empirical Results. J. Stat. Phys. 27, 631-656 (1982)