Kolmogorov’s Heritage in Mathematics

Edited by Éric Charpentier (), Annick Lesne () and Nikolaï K. Nikolski ()

in Springer Books from Springer

Date: 2007
ISBN: 978-3-540-36351-4
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Chapters in this book:

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 and Marc Yor

Infinite dimensional Kolmogorov equations

Giuseppe Da Prato

From Kolmogorov’s theorem on empirical distribution to number theory

Kevin Ford

Kolmogorov’s ε-entropy and the problem of statistical estimation

Mikhail Nikouline and 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 and Yakov G. Sinai

From Hilbert’s 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov’s Superposition Theorem

Vasco Brattka

Kolmogorov Complexity

Bruno Durand and Alexander Zvonkin

Algorithmic Chaos and the Incompressibility Method

Paul Vitanyi

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DOI: 10.1007/978-3-540-36351-4

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