<p><P>In broad terms, the goal of dynamics is to describe the long-term evolution of systems for which an "infinitesimal" evolution rule, such as a differential equation or the iteration of a map, is known. </P><P>The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, u
Dynamics Beyond Uniform Hyperbolicity. A Global Geometric and Probabilistic Perspective
β Scribed by Christian Bonatti, Lorenzo J. DΓaz, Marcelo Viana
- Publisher
- Springer, Berlin
- Tongue
- German
- Leaves
- 390
- Series
- Encyclopaedia of Mathematical Sciences
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unified important developments, and led to a remarkably successful theory for a large class of systems: uniformly hyperbolic systems often exhibit complicated evolution which, nevertheless, is now rather well understood, both geometrically and statistically.
Another revolution has been taking place in the last couple of decades, as one tries to build a global theory for
β¦ Table of Contents
ι‘΅ι’ζεθͺοΌ Dynamics Beyond Uniform Hyperbolicity.pdf......Page 1
Dynamics Beyond Uniform Hyperbolicity.pdf......Page 2
π SIMILAR VOLUMES
What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communication
This monograph offers a coherent, self-contained account of the theory of SinaiβRuelleβBowen measures and decay of correlations for nonuniformly hyperbolic dynamical systems. A central topic in the statistical theory of dynamical systems, the book in particular provides a detailed exposition of the