**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

**Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra**

by

**A. T. Baraviera, R. Leplaideur, A. O. Lopes**-

**arXiv**

We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.

(

**4064**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.

(

**5444**views)

**Invitation to Dynamical Systems**

by

**Edward R. Scheinerman**-

**Prentice Hall College Div**

Author invites readers from a wide range of backgrounds to explore the beauty and excitement of dynamical systems. Written for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material.

(

**12610**views)

**A Short Introduction to Classical and Quantum Integrable Systems**

by

**O. Babelon**

An introduction to integrable systems. From the table of contents: Integrable dynamical systems; Solution by analytical methods; Infinite dimensional systems; The Jaynes-Cummings-Gaudin model; The Heisenberg spin chain; Nested Bethe Ansatz.

(

**8259**views)