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

by Pierre Arnoux, et al.

**Publisher**: Springer 2002**ISBN/ASIN**: 3540441417**ISBN-13**: 9783540441410**Number of pages**: 419

**Description**:

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 (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure.

Download or read it online for free here:

**Download link**

(multiple PS files)

## Similar books

**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.

(

**6710**views)

**Elementary Symbolic Dynamics and Chaos in Dissipative Systems**

by

**Bai-Lin Hao**-

**World Scientific**

This is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and characteristics of the attractors, written from the view-point of practical applications.

(

**5727**views)

**Dynamical Systems and Chaos**

by

**Evans M. Harrell II**

Class notes for an introductory course on dynamical systems and chaos for mathematicians, physicists, and engineers. The text concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos.

(

**10026**views)

**Valuations and Hyperbolicity in Dynamics**

by

**Thomas Ward**-

**University of East Anglia**

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

(

**4570**views)