**Dynamics, Ergodic Theory, and Geometry**

by Boris Hasselblatt

**Publisher**: Cambridge University Press 2007**ISBN/ASIN**: 0521875412**ISBN-13**: 9780521875417**Number of pages**: 334

**Description**:

This volume contains surveys and research articles by leading experts in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; and ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this a fascinating look at the state of the art.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**The Chaos Hypertextbook**

by

**Glenn Elert**

This book is written for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians.

(

**13490**views)

**Data Assimilation: A Mathematical Introduction**

by

**K.J.H. Law, A.M. Stuart, K.C. Zygalakis**-

**arXiv.org**

This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.

(

**5605**views)

**Variational Modelling: Energies, gradient flows, and large deviations**

by

**Mark A. Peletier**-

**arXiv**

The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.

(

**9084**views)

**Optimization and Dynamical Systems**

by

**U. Helmke, J. B. Moore**-

**Springer**

Aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control systems, signal processing, and linear algebra. The problems solved are those of linear algebra and linear systems theory.

(

**13970**views)