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Selecta I: Ergodic Theory and Dynamical Systems: Springer Collected Works in Mathematics

Autor Yakov G Sinai
en Limba Engleză Paperback – 14 sep 2019
From the reviews:
“The first volume is devoted to ergodic theory and dynamical systems. It contains 19 papers divided into four groups … . The reader will find a wealth of information and ideas that can still ignite inspiration and motivate students as well as senior researchers. The reader will also have a touch of Sinai’s personality, his taste, enthusiasm, and optimism, which are just as invaluable as his mathematical results.” (Nikolai Chernov, Mathematical Reviews, Issue 2012 e)

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Specificații

ISBN-13: 9781493997879
ISBN-10: 1493997874
Pagini: 450
Ilustrații: XVI, 450 p. 64 illus., 53 illus. in color. With New printing in a different form.
Dimensiuni: 155 x 235 mm
Greutate: 0.71 kg
Ediția:1st ed. 2010
Editura: Springer
Colecția Springer
Seria Springer Collected Works in Mathematics

Locul publicării:New York, NY, United States

Cuprins

Entropy Theory of Dynamical systems.- On the Notion of Entropy of a Dynamical System.- Construction and Properties of Invariant Measurable Partitions.- Weak Isomorphism of Transformations with Invariant Measure.- Dynamical Systems with Countably-Multiple Lebesgue Spectrum. I.- Dynamical Systems with Countably-Multiple Lebesgue Spectrum. II.- Ergodic theory and Number Theory.- Renewal-type limit theorem for the Gauss map and continued fractions.- A Limit Theorem for Birkhoff Sums of non-Integrable Functions over Rotations.- Mixing for Some Classes of Special Flows Over Rotations of the Circle.- Smoothness of conjugacies of diffeomorphisms of the circle with rotations.- Feigenbaum universality and the thermodynamic formalism.- The Theory of hyperbolic dynamical systems Markov Partitions and thermodynamic Formalism.- Markov Partitions and C-Diffeomorphisms.- Gibbs Measures in Ergodic Theory.- Gibbs measures for partially hyperbolic attractors.- Steady-State Electrical Conduction in the Periodic Lorentz Gas.- Space-time chaos in the system of weakly interacting hyperbolic systems.- Billiards.- Dynamical Systems with Elastic Reflections.- On a Fundamental Theorem in the Theory of Dispersing Billiards.- Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls.- Billiard Trajectories in a Polyhedral Angle.

Recenzii

From the reviews:
“The first volume is devoted to ergodic theory and dynamical systems. It contains 19 papers divided into four groups … . The reader will find a wealth of information and ideas that can still ignite inspiration and motivate students as well as senior researchers. The reader will also have a touch of Sinai’s personality, his taste, enthusiasm, and optimism, which are just as invaluable as his mathematical results.” (Nikolai Chernov, Mathematical Reviews, Issue 2012 e)

Textul de pe ultima copertă

From the reviews:
“The first volume is devoted to ergodic theory and dynamical systems. It contains 19 papers divided into four groups … . The reader will find a wealth of information and ideas that can still ignite inspiration and motivate students as well as senior researchers. The reader will also have a touch of Sinai’s personality, his taste, enthusiasm, and optimism, which are just as invaluable as his mathematical results.” (Nikolai Chernov, Mathematical Reviews, Issue 2012 e)

Caracteristici

Brilliant and unconventional ideas With commentaries by Y. Sinai for each paper Extensive collection of seminal papers by the author Includes supplementary material: sn.pub/extras