This volume clearly reflects Ricardo Mane's legacy, his contribution to mathematics and the diversity of his mathematical intersts. It contains fifteen refereed research papers on thems including Hamiltonian and Lagrangian dynamics, growth rate of the number of geodesics on a compact manifold, one dimensional complex and real dynamics, and bifurcations and singular cycles. This book also contains two famous sets of notes by Ricardo Mane. One is the seminal paper on Lagrangian dynamics that he had prepared for the conference; the other is on the genericity of zero exponents area preserving diffeomorphisms on surfaces when non Anosov.
This book will be of particular interest to researchers and graduate students in mathematics, mechanics and mathematical physics.
Singular cycles of vector fields
On the growth of the number of geodesics joining two points
Directional flows and strong recurrence for polygonal billiards
A note on one dimensional dynamics associated to singular cycles
Central limit theorem for deterministic systems
On necessary and sufficient conditions for uiniform integrability of families of Hamiltonian systems
The Lyapunov exponents of generic area preserving diffeomorphisms
Lagrangian flows: the dynamics of globally minimizing orbits
Anosov geodesic flows and twisted symplectic structures
Entropy and geodesic arcs on surfaces
On measure and Hausdorff dimension of Julia sets for holomorphic Collet-Eckmann maps
Stable ergodicity and partial hyperbolicity
Sharp zeta functions for smooth interval maps
Lyapunov functions and Anosov flows
Henon attractors: SBR measures and Dirac measures for sinks
Two dimensional generalizations of Haar bases
Spaces that won's say no
Online Access - Begin reading immediately by accessing the links to your online bookshelf provided in your invoice or in your "My Account" section of CRC Press.com.
Mobile Access - Read on the go by downloading the free VitalSource Bookshelf to access your eBook at any time on any device.