Yakov G Sinai

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Ergodic Theory and Dynamical Systems

• Gebundenes Buch

Produktbeschreibung

The 20 papers in this volume span mathematical physics, dynamical systems, and probability. Yakov Sinai is one of the most important and influential mathematicians of our time; this book will interest researchers from all fields of the physical sciences.

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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)

Produktdetails

• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 12046447, 978-0-387-87869-0
• 2010 edition
• Seitenzahl: 450
• Erscheinungstermin: 23. August 2010
• Englisch
• Abmessung: 270mm x 199mm x 28mm
• Gewicht: 1184g
• ISBN-13: 9780387878690
• ISBN-10: 0387878696
• Artikelnr.: 27523539

Inhaltsangabe

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.

Rezensionen

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)