| eBook ISBN: | 978-1-4704-4119-7 |
| Product Code: | CONM/692.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-4119-7 |
| Product Code: | CONM/692.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 692; 2017; 320 ppMSC: Primary 37
This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov.
It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work.
Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.
ReadershipGraduate students and research mathematicians interested in dynamical systems and their applications.
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Table of Contents
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Articles
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Anatole Katok — Dmitry Viktorovich Anosov: His life and mathematics
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Michael Brin and Yakov Pesin — D. V. Anosov and our road to partial hyperbolicity
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Valentin Afraimovich and Leonid Bunimovich — Escape from large holes in Anosov systems
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François Béguin, Sylvain Crovisier and Tobias Jäger — A dynamical decomposition of the torus into pseudo-circles
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Artem Dudko and Rostislav Grigorchuk — On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups
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Bassam Fayad and Maria Saprykina — Isolated elliptic fixed points for smooth Hamiltonians
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T. Fisher, T. Petty and S. Tikhomirov — Nonlocally maximal and premaximal hyperbolic sets
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John Franks — Rotation numbers for $S^2$ diffeomorphisms
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Anton Gorodetski and Yakov Pesin — Path connectedness and entropy density of the space of hyperbolic ergodic measures
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V. Grines and E. Zhuzhoma — Around Anosov-Weil Theory
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Yu. Ilyashenko and I. Shilin — Attractors and skew products
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Michael Jakobson — Thermodynamic formalism for some systems with countable Markov structures
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Anatole Katok and Federico Rodriguez Hertz — Non-uniform measure rigidity for $\mathbb {Z}^k$ actions of symplectic type
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Sheldon E. Newhouse — On a differentiable linearization theorem of Philip Hartman
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Marina Ratner — Time change invariants for measure preserving flows
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A. M. Stepin and I. V. Tsylin — Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation
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Marcelo Viana and Jiagang Yang — Measure-theoretical properties of center foliations
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov.
It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work.
Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.
Graduate students and research mathematicians interested in dynamical systems and their applications.
-
Articles
-
Anatole Katok — Dmitry Viktorovich Anosov: His life and mathematics
-
Michael Brin and Yakov Pesin — D. V. Anosov and our road to partial hyperbolicity
-
Valentin Afraimovich and Leonid Bunimovich — Escape from large holes in Anosov systems
-
François Béguin, Sylvain Crovisier and Tobias Jäger — A dynamical decomposition of the torus into pseudo-circles
-
Artem Dudko and Rostislav Grigorchuk — On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups
-
Bassam Fayad and Maria Saprykina — Isolated elliptic fixed points for smooth Hamiltonians
-
T. Fisher, T. Petty and S. Tikhomirov — Nonlocally maximal and premaximal hyperbolic sets
-
John Franks — Rotation numbers for $S^2$ diffeomorphisms
-
Anton Gorodetski and Yakov Pesin — Path connectedness and entropy density of the space of hyperbolic ergodic measures
-
V. Grines and E. Zhuzhoma — Around Anosov-Weil Theory
-
Yu. Ilyashenko and I. Shilin — Attractors and skew products
-
Michael Jakobson — Thermodynamic formalism for some systems with countable Markov structures
-
Anatole Katok and Federico Rodriguez Hertz — Non-uniform measure rigidity for $\mathbb {Z}^k$ actions of symplectic type
-
Sheldon E. Newhouse — On a differentiable linearization theorem of Philip Hartman
-
Marina Ratner — Time change invariants for measure preserving flows
-
A. M. Stepin and I. V. Tsylin — Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation
-
Marcelo Viana and Jiagang Yang — Measure-theoretical properties of center foliations
