Michael Brin / Boris Hasselblatt / Yakov Pesin (eds.)
Modern Dynamical Systems and Applications
Herausgeber: Brin, Michael; Pesin, Yakov; Hasselblatt, Boris
Michael Brin / Boris Hasselblatt / Yakov Pesin (eds.)
Modern Dynamical Systems and Applications
Herausgeber: Brin, Michael; Pesin, Yakov; Hasselblatt, Boris
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Presenting a wide cross-section of current research in the theory of dynamical systems, this collection consists of articles by leading researchers (and several Fields medallists) in a variety of specialties. Surveys featuring new results, as well as research papers, are included because of their potentially high impact. Major areas covered include hyperbolic dynamics, elliptic dynamics, mechanics, geometry, ergodic theory, group actions, rigidity, and applications. The target audience is dynamicists, as well as mathematicians from other disciplines.
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Presenting a wide cross-section of current research in the theory of dynamical systems, this collection consists of articles by leading researchers (and several Fields medallists) in a variety of specialties. Surveys featuring new results, as well as research papers, are included because of their potentially high impact. Major areas covered include hyperbolic dynamics, elliptic dynamics, mechanics, geometry, ergodic theory, group actions, rigidity, and applications. The target audience is dynamicists, as well as mathematicians from other disciplines.
Produktdetails
- Produktdetails
- Verlag: European Community
- Seitenzahl: 474
- Erscheinungstermin: 16. August 2004
- Englisch
- Abmessung: 258mm x 178mm x 30mm
- Gewicht: 1004g
- ISBN-13: 9780521840736
- ISBN-10: 0521840732
- Artikelnr.: 21929742
- Verlag: European Community
- Seitenzahl: 474
- Erscheinungstermin: 16. August 2004
- Englisch
- Abmessung: 258mm x 178mm x 30mm
- Gewicht: 1004g
- ISBN-13: 9780521840736
- ISBN-10: 0521840732
- Artikelnr.: 21929742
1. Introduction Michael Brin, Boris Hasselblatt and Yakov Pesin; Part I.
Ergodic Theory, Rigidity, Geometry: 2. Weakly mixing actions of general
groups: a brief survey and an example Vitaly Bergelson and Alex Gorodnik;
3. Dynamical Morse entropy Melanie Bertelson and Michael Gromov; 4.
Positive k-theory and symbolic dynamics Michael Boyle and Jack Wagoner; 5.
Geometry of 2-step nilpotent Lie groups with a left invariant metric
Patrick Eberlein; 6. A differential-geometric view of normal forms of
contractions Renato Feres; 7. Averaging along cubes B. Host and Bryna Kra;
8. Sections for semiflows and Kakutani shift equivalence Chao-Hui Lin and
Daniel Rudolph; 9. Coarsely geodesic metrics on reductive groups Herbert
Abels and Gregory Margulis; 10. Algebraic Zd-actions on zero-dimensional
compact Abelian groups Klaus Schmidt; 11. An invitation to rigidity theory
Ralf Spatzier; 12. Remarks on magnetic flows and magnetic billiards,
Finsler metrics and a magnetic analog of Hilbert's fourth problem Serge
Tabachnikov; Part II. Hyperbolic Dynamics: 13. Expanding polymodials
Alexander Blokh, Chris Cleveland and Michal Misiurewicz; 14. Lyapunov
exponents: how frequently are dynamical systems hyperbolic? Jairo Bochi and
Marcelo Viana; 15. A Hölder continuous vector field tangent to many
foliations Christina Bonatti and John Franks; 16. On partially hyperbolic
diffeomorphisms of 3-manifolds with commutative fundamental groups Michael
Brin, Dmitri Burago and S. Ivanov; 17. Prelude to a kiss Dmitry Dolgopyat;
18. Nonuniform hpyerbolicity and elliptic dynamics Bassam Fayad; 19.
Dimension product structure of hyperbolic sets Boris Hasselblatt and Jorg
Schmeling; 20. Every compact manifold carries a hyperbolic Bernoulli flow
Huyi Hu, Yakov Pesin and Anna Talitskaya; 21. Parameter choice for families
of maps with many critical points Michael Jakobson; 22. Entropy, exponents
and invariant densities for hyperbolic systems: dependence and computation
Oliver Jenkinson and Mark Pollicott; 23. Some recent advances in averaging
Yuri Kifer; 24. Bootstrap of regularity for integrable solutions of
cohomology equations Rafael de la Llave; 25. Cone-fields, domination, and
hyperbolicity Sheldon Newhouse; 26. Markov towers and stochastic properties
of billiards Domokos Szasz and Tamas Varju; 27. Some questions and remarks
about SL(2,R) cocycles Jean-Christophe Yoccoz.
Ergodic Theory, Rigidity, Geometry: 2. Weakly mixing actions of general
groups: a brief survey and an example Vitaly Bergelson and Alex Gorodnik;
3. Dynamical Morse entropy Melanie Bertelson and Michael Gromov; 4.
Positive k-theory and symbolic dynamics Michael Boyle and Jack Wagoner; 5.
Geometry of 2-step nilpotent Lie groups with a left invariant metric
Patrick Eberlein; 6. A differential-geometric view of normal forms of
contractions Renato Feres; 7. Averaging along cubes B. Host and Bryna Kra;
8. Sections for semiflows and Kakutani shift equivalence Chao-Hui Lin and
Daniel Rudolph; 9. Coarsely geodesic metrics on reductive groups Herbert
Abels and Gregory Margulis; 10. Algebraic Zd-actions on zero-dimensional
compact Abelian groups Klaus Schmidt; 11. An invitation to rigidity theory
Ralf Spatzier; 12. Remarks on magnetic flows and magnetic billiards,
Finsler metrics and a magnetic analog of Hilbert's fourth problem Serge
Tabachnikov; Part II. Hyperbolic Dynamics: 13. Expanding polymodials
Alexander Blokh, Chris Cleveland and Michal Misiurewicz; 14. Lyapunov
exponents: how frequently are dynamical systems hyperbolic? Jairo Bochi and
Marcelo Viana; 15. A Hölder continuous vector field tangent to many
foliations Christina Bonatti and John Franks; 16. On partially hyperbolic
diffeomorphisms of 3-manifolds with commutative fundamental groups Michael
Brin, Dmitri Burago and S. Ivanov; 17. Prelude to a kiss Dmitry Dolgopyat;
18. Nonuniform hpyerbolicity and elliptic dynamics Bassam Fayad; 19.
Dimension product structure of hyperbolic sets Boris Hasselblatt and Jorg
Schmeling; 20. Every compact manifold carries a hyperbolic Bernoulli flow
Huyi Hu, Yakov Pesin and Anna Talitskaya; 21. Parameter choice for families
of maps with many critical points Michael Jakobson; 22. Entropy, exponents
and invariant densities for hyperbolic systems: dependence and computation
Oliver Jenkinson and Mark Pollicott; 23. Some recent advances in averaging
Yuri Kifer; 24. Bootstrap of regularity for integrable solutions of
cohomology equations Rafael de la Llave; 25. Cone-fields, domination, and
hyperbolicity Sheldon Newhouse; 26. Markov towers and stochastic properties
of billiards Domokos Szasz and Tamas Varju; 27. Some questions and remarks
about SL(2,R) cocycles Jean-Christophe Yoccoz.
1. Introduction Michael Brin, Boris Hasselblatt and Yakov Pesin; Part I.
Ergodic Theory, Rigidity, Geometry: 2. Weakly mixing actions of general
groups: a brief survey and an example Vitaly Bergelson and Alex Gorodnik;
3. Dynamical Morse entropy Melanie Bertelson and Michael Gromov; 4.
Positive k-theory and symbolic dynamics Michael Boyle and Jack Wagoner; 5.
Geometry of 2-step nilpotent Lie groups with a left invariant metric
Patrick Eberlein; 6. A differential-geometric view of normal forms of
contractions Renato Feres; 7. Averaging along cubes B. Host and Bryna Kra;
8. Sections for semiflows and Kakutani shift equivalence Chao-Hui Lin and
Daniel Rudolph; 9. Coarsely geodesic metrics on reductive groups Herbert
Abels and Gregory Margulis; 10. Algebraic Zd-actions on zero-dimensional
compact Abelian groups Klaus Schmidt; 11. An invitation to rigidity theory
Ralf Spatzier; 12. Remarks on magnetic flows and magnetic billiards,
Finsler metrics and a magnetic analog of Hilbert's fourth problem Serge
Tabachnikov; Part II. Hyperbolic Dynamics: 13. Expanding polymodials
Alexander Blokh, Chris Cleveland and Michal Misiurewicz; 14. Lyapunov
exponents: how frequently are dynamical systems hyperbolic? Jairo Bochi and
Marcelo Viana; 15. A Hölder continuous vector field tangent to many
foliations Christina Bonatti and John Franks; 16. On partially hyperbolic
diffeomorphisms of 3-manifolds with commutative fundamental groups Michael
Brin, Dmitri Burago and S. Ivanov; 17. Prelude to a kiss Dmitry Dolgopyat;
18. Nonuniform hpyerbolicity and elliptic dynamics Bassam Fayad; 19.
Dimension product structure of hyperbolic sets Boris Hasselblatt and Jorg
Schmeling; 20. Every compact manifold carries a hyperbolic Bernoulli flow
Huyi Hu, Yakov Pesin and Anna Talitskaya; 21. Parameter choice for families
of maps with many critical points Michael Jakobson; 22. Entropy, exponents
and invariant densities for hyperbolic systems: dependence and computation
Oliver Jenkinson and Mark Pollicott; 23. Some recent advances in averaging
Yuri Kifer; 24. Bootstrap of regularity for integrable solutions of
cohomology equations Rafael de la Llave; 25. Cone-fields, domination, and
hyperbolicity Sheldon Newhouse; 26. Markov towers and stochastic properties
of billiards Domokos Szasz and Tamas Varju; 27. Some questions and remarks
about SL(2,R) cocycles Jean-Christophe Yoccoz.
Ergodic Theory, Rigidity, Geometry: 2. Weakly mixing actions of general
groups: a brief survey and an example Vitaly Bergelson and Alex Gorodnik;
3. Dynamical Morse entropy Melanie Bertelson and Michael Gromov; 4.
Positive k-theory and symbolic dynamics Michael Boyle and Jack Wagoner; 5.
Geometry of 2-step nilpotent Lie groups with a left invariant metric
Patrick Eberlein; 6. A differential-geometric view of normal forms of
contractions Renato Feres; 7. Averaging along cubes B. Host and Bryna Kra;
8. Sections for semiflows and Kakutani shift equivalence Chao-Hui Lin and
Daniel Rudolph; 9. Coarsely geodesic metrics on reductive groups Herbert
Abels and Gregory Margulis; 10. Algebraic Zd-actions on zero-dimensional
compact Abelian groups Klaus Schmidt; 11. An invitation to rigidity theory
Ralf Spatzier; 12. Remarks on magnetic flows and magnetic billiards,
Finsler metrics and a magnetic analog of Hilbert's fourth problem Serge
Tabachnikov; Part II. Hyperbolic Dynamics: 13. Expanding polymodials
Alexander Blokh, Chris Cleveland and Michal Misiurewicz; 14. Lyapunov
exponents: how frequently are dynamical systems hyperbolic? Jairo Bochi and
Marcelo Viana; 15. A Hölder continuous vector field tangent to many
foliations Christina Bonatti and John Franks; 16. On partially hyperbolic
diffeomorphisms of 3-manifolds with commutative fundamental groups Michael
Brin, Dmitri Burago and S. Ivanov; 17. Prelude to a kiss Dmitry Dolgopyat;
18. Nonuniform hpyerbolicity and elliptic dynamics Bassam Fayad; 19.
Dimension product structure of hyperbolic sets Boris Hasselblatt and Jorg
Schmeling; 20. Every compact manifold carries a hyperbolic Bernoulli flow
Huyi Hu, Yakov Pesin and Anna Talitskaya; 21. Parameter choice for families
of maps with many critical points Michael Jakobson; 22. Entropy, exponents
and invariant densities for hyperbolic systems: dependence and computation
Oliver Jenkinson and Mark Pollicott; 23. Some recent advances in averaging
Yuri Kifer; 24. Bootstrap of regularity for integrable solutions of
cohomology equations Rafael de la Llave; 25. Cone-fields, domination, and
hyperbolicity Sheldon Newhouse; 26. Markov towers and stochastic properties
of billiards Domokos Szasz and Tamas Varju; 27. Some questions and remarks
about SL(2,R) cocycles Jean-Christophe Yoccoz.