Kolmogorov s Heritage in Mathematics

A.N. Kolmogorov (b. Tambov 1903, d. Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imaginat...

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Dettagli Bibliografici
Autore principale: Charpentier, Éric, 1963-...., mathématicien
Altri autori: Lesne, Annick, 1963-...., physicienne (Direttore editoriale), Nikol½skij, Nikolaj Kapitonovič, 1940-...., mathématicien (Direttore editoriale)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
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Accesso online:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: L'impression du document génère 327 p.
Trad. de l'oeuvre originale : "L'héritage de Kolmogorov en mathématiques"
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Kolmogorov's heritage in mathematics, Éric Charpentier, Annick Lesne, Nikolaï K. Nikolski (eds.), 2007, Berlin, Springer, 1 vol. (VIII-317 p.), 978-3-540-36349-1
Sommario:
  • The youth of Andrei Nikolaevich and Fourier series
  • Kolmogorov s contribution to intuitionistic logic
  • Some aspects of the probabilistic work
  • Infinite dimensional Kolmogorov equations
  • From Kolmogorov s theorem on empirical distribution to number theory
  • Kolmogorov s ?-entropy and the problem of statistical estimation
  • Kolmogorov and topology
  • Geometry and approximation theory in A. N. Kolmogorov s works
  • Kolmogorov and population dynamics
  • Resonances and small divisors
  • The KAM Theorem
  • From Kolmogorov s Work on entropy of dynamical systems to Non-uniformly hyperbolic dynamics
  • From Hilbert s 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov s Superposition Theorem
  • Kolmogorov Complexity
  • Algorithmic Chaos and the Incompressibility Method