Number-theoretical turbulence in fermat-euler arithmetics and large young diagrams geometry statistics

Journal of Mathematical Fluid Mechanics

Volumn 7, Issue SUPPL., 2005, Pages

  Arnold, V ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Adiabaticity; Cesaro averaging; Chaos; Continued fractions; Gauss Kuzmin statistics; Geometric progressions; Partitions; Residues; Selfsimilarity; Unitary representations; Unpredictability; Vershik Planscherel measure

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; COMPUTATIONAL GEOMETRY; FUNCTIONS; NUMBER THEORY; PROBLEM SOLVING; STATISTICAL METHODS; THEOREM PROVING;

ADIABATICITY; CESARO AVERAGING; CONTINUED FRACTIONS; GAUSS-KUZMIN STATISTICS; GEOMETRIC PROGRESSIONS; PARTITIONS; RESIDUES; UNITARY REPRESENTATIONS; UNPREDICTABILITY; VERSHIK-PLANSCHEREL MEASURES;

TURBULENCE;

FLUID MECHANICS;

EID: 17144362898     PISSN: 14226928     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00021-004-0130-x     Document Type: Article

References (10)

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6. V. I. ARNOLD, Continued Fractions, Moscow Centre for Continuous Math. Education Press, Moscow, 2001, 40 pp. (in Russian).
7. V. I. ARNOLD, Problems to the seminar, 2003-2004, Cahiers de CEREMADE N. 0416, Université Paris-Dauphine, 2004, 38 pp.
8. A. M. VERSHIK and S. V. KEROV, Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group, Funct. Anal. Appl. 19 (1985) (1), 21-31.
9. A. M. VERSHIK (Editor), Asymptotic Combinatorics with Applications to Mathematical Physics (St. Petersburg, 2001) Lecture Notes in Math. 1815, Springer, Berlin, 2003.
10. V. I. ARNOLD, Frequent representations. Moscow Math. J. 3 (2003) (4), 14 pp.