**Valuations and Hyperbolicity in Dynamics**

by Thomas Ward

**Publisher**: University of East Anglia 2001**Number of pages**: 58

**Description**:

These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit (analogues of) hyperbolicity. This approach goes a little beyond simply providing a convenient language.

Download or read it online for free here:

**Download link**

(590KB, PDF)

## Similar books

**The Hopf Bifurcation and Its Applications**

by

**J. E. Marsden, M. McCracken**-

**Springer**

The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.

(

**8612**views)

**Entropy of Compact Group Automorphisms**

by

**Thomas Ward**-

**University of East Anglia**

These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.

(

**4372**views)

**Introduction to the Theory of Infinite-Dimensional Dissipative Systems**

by

**Constantin I. Chueshov**-

**ACTA**

An introduction to infinite-dimensional dissipative dynamical systems. The book outlines a variety of tools applied in the study of nonlinear dynamical distributed systems. The results have applications to many areas of physics and engineering.

(

**6709**views)

**Substitutions in Dynamics, Arithmetics, and Combinatorics**

by

**Pierre Arnoux, et al.**-

**Springer**

A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.

(

**6064**views)