Smooth ergodic theory and its applications : proceedings of the AMS Summer Research Institute on Smooth Ergodic Theory and Its Applications, July 26-August 13, 1999, University of Washington, Seattle / [electronic resource]
Anatole Katok ... [et al.], editors.
- Providence, R.I. : American Mathematical Society, c2001.
- 1 online resource (x, 881 p. : ill.)
- Proceedings of symposia in pure mathematics, v. 69 0082-0717 (print); 2324-707X (online); .
Includes bibliographical references.
Lectures on Lyapunov exponents and smooth ergodic theory / Appendix A: H�older continuity of invariant distributions / Appendix B: An example of a smooth hyperbolic measure with countably many ergodic components / Cocycles, cohomology and combinatorial constructions in ergodic theory / A tutorial on KAM theory / Decay of correlations / Recent results about stable ergodicity / Statistical properties of some almost hyperbolic systems / Random $f$-expansions / Dynamical zeta functions / An overview of the dimension theory of dynamical systems / Collet-Eckmann condition in one-dimensional dynamics / Monotonicity, $\mathcal $-algebra of Potapov and Lyapunov exponents / Geodesic flows in manifolds of nonpositive curvature / Closed geodesics and the uniqueness of the maximal measure for rank 1 geodesic flows / Invariant measures for actions of higher rank abelian groups / Some applications of homogeneous dynamics to number theory / Measurable rigidity of algebraic $\mathbb ^d$-actions / Almost reducibility of linear quasi-periodic systems / A lecture on the classical KAM theorem / A Lagrangian proof of the invariant curve theorem for twist mappings / Thermodynamical formalism for piecewise invertible maps: absolutely continuous invariant measures as equilibrium states / Smoothness of holonomy maps derived from unstable foliation / Schr�odinger operators and topological pressure on manifolds of negative curvature / Isoperimetric and ergodic properties of horospheres in symmetric spaces / Minimal but not uniquely ergodic diffeomorphisms / Piecewise smooth maps with absolutely continuous invariant measures and uniformly scaled Markov partitions / L. Barreira and Ya. Pesin -- M. Brin -- D. Dolgopyat, H. Hu and Ya Pesin -- Anatole Katok -- Rafael de la Llave -- Viviane Baladi -- Keith Burns, Charles Pugh, Michael Shub and Amie Wilkinson -- Huyi Hu -- Yuri Kifer -- Mark Pollicott -- J�org Schmeling and Howard Weiss -- Grzegorz �Swiatek -- Maciej P. Wojtkowski -- Patrick Eberlein -- Gerhard Knieper -- Boris Kalinin and Anatole Katok -- Dmitry Kleinbock -- Klaus Schmidt -- L. H. Eliasson -- J�urgen P�oschel -- M. Levi and J. Moser -- J�er�ome Buzzi -- M. Guysinsky -- Viorel Ni�tic�a and Frederico Xavier -- Norbert Peyerimhoff -- Alistair Windsor -- Michael Jakobson -- http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858534 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858534-a http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858534-b http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858535 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858536 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858537 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858538 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858539 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858540 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858541 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858542 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858543 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858544 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858545 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858546 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858547 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858548 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858549 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858550 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858551 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858552 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858553 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858554 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858555 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858556 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858557 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858558
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893746 (online)
Ergodic theory--Congresses.
QA611.5 / .A475 1999
515/.42
Includes bibliographical references.
Lectures on Lyapunov exponents and smooth ergodic theory / Appendix A: H�older continuity of invariant distributions / Appendix B: An example of a smooth hyperbolic measure with countably many ergodic components / Cocycles, cohomology and combinatorial constructions in ergodic theory / A tutorial on KAM theory / Decay of correlations / Recent results about stable ergodicity / Statistical properties of some almost hyperbolic systems / Random $f$-expansions / Dynamical zeta functions / An overview of the dimension theory of dynamical systems / Collet-Eckmann condition in one-dimensional dynamics / Monotonicity, $\mathcal $-algebra of Potapov and Lyapunov exponents / Geodesic flows in manifolds of nonpositive curvature / Closed geodesics and the uniqueness of the maximal measure for rank 1 geodesic flows / Invariant measures for actions of higher rank abelian groups / Some applications of homogeneous dynamics to number theory / Measurable rigidity of algebraic $\mathbb ^d$-actions / Almost reducibility of linear quasi-periodic systems / A lecture on the classical KAM theorem / A Lagrangian proof of the invariant curve theorem for twist mappings / Thermodynamical formalism for piecewise invertible maps: absolutely continuous invariant measures as equilibrium states / Smoothness of holonomy maps derived from unstable foliation / Schr�odinger operators and topological pressure on manifolds of negative curvature / Isoperimetric and ergodic properties of horospheres in symmetric spaces / Minimal but not uniquely ergodic diffeomorphisms / Piecewise smooth maps with absolutely continuous invariant measures and uniformly scaled Markov partitions / L. Barreira and Ya. Pesin -- M. Brin -- D. Dolgopyat, H. Hu and Ya Pesin -- Anatole Katok -- Rafael de la Llave -- Viviane Baladi -- Keith Burns, Charles Pugh, Michael Shub and Amie Wilkinson -- Huyi Hu -- Yuri Kifer -- Mark Pollicott -- J�org Schmeling and Howard Weiss -- Grzegorz �Swiatek -- Maciej P. Wojtkowski -- Patrick Eberlein -- Gerhard Knieper -- Boris Kalinin and Anatole Katok -- Dmitry Kleinbock -- Klaus Schmidt -- L. H. Eliasson -- J�urgen P�oschel -- M. Levi and J. Moser -- J�er�ome Buzzi -- M. Guysinsky -- Viorel Ni�tic�a and Frederico Xavier -- Norbert Peyerimhoff -- Alistair Windsor -- Michael Jakobson -- http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858534 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858534-a http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858534-b http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858535 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858536 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858537 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858538 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858539 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858540 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858541 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858542 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858543 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858544 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858545 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858546 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858547 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858548 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858549 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858550 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858551 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858552 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858553 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858554 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858555 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858556 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858557 http://www.ams.org/pspum/069 http://dx.doi.org/10.1090/pspum/069/1858558
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893746 (online)
Ergodic theory--Congresses.
QA611.5 / .A475 1999
515/.42