International Conference On Dynamical Systems: 1st Edition (Hardback) book cover

International Conference On Dynamical Systems

1st Edition

By F Ledrappier, Sheldon Newhouse, Jorge Lewowicz

Chapman and Hall/CRC

224 pages

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Hardback: 9780582302969
pub: 1997-05-15
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Description

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.

Table of Contents

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

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations