1.

Record Nr.

UNISALENTO991000116709707536

Titolo

Kolmogorov's heritage in mathematics / Éric Charpentier, Annick Lesne, Nikolaï K. Nikolski (eds.)

Pubbl/distr/stampa

Berlin : Springer, c2007

ISBN

9783540363491

3540363491

Descrizione fisica

viii, 317 p. : ill. ; 24 cm

Classificazione

AMS 00B50

AMS 01-06

AMS 37-06

LC QA267.7.H4713

Altri autori (Persone)

Charpentier, Éricauthor

Lesne, Annickauthor

Nikolʹskiĭ, Nikolaĭ Kapitonovich

Disciplina

510

Soggetti

Kolmogorov complexity

Mathematics - History

Kolmogorov, Andreĭ Nikolaevich <1903-1987>

Kolmogorov, Andreĭ Nikolaevich <1903-1987>

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references

Nota di contenuto

The youth of Andrei Nikolaevich and Fourier series / Jean-Pierre Kahane . Kolmogorov's contribution to intuitionistic logic / Thierry Coquand . Some aspects of the probabilistic work / Loïc Chaumont, Laurent Mazliak, Marc Yor . Infinite-dimensional Kolmogorov equations / Giuseppe Da Prato . From Kolmogorov's theorem on empirical distribution to number theory / Kevin Ford . Kolmogorov's (epsilon)-entropy and the problem of statistical estimation / Mikhail Nikouline, Valentin Solev . Kolmogorov and topology / Victor M. Buchstaber . Geometry and approximation theory in A. N. Kolmogorov's works / Vladimir M. Tikhomirov . Kolmogorov and population dynamics / Karl Sigmund . Resonances and small divisors / Étienne Ghys . The KAM Theorem / John H. Hubbard . From Kolmogorov's work on entropy of dynamical systems to non-uniformly hyperbolic dynamics / Denis V.



Kosygin, Yakov G. Sinai . Prom Hilbert's 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov's Superposition Theorem / Vasco Brattka . Kolmogorov complexity / Bruno Durand, Alexander Zvonkin . Algorithmic chaos and the incompressibility method / Paul Vitanyi