**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

**Chaos Theory**

by

**Kais A. Mohamedamen Al Naimee (ed.)**-

**InTech**

With a good background in nonlinear dynamics, chaos theory, and applications, the authors give a treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.

(

**2518**views)

**Encyclopedia of Dynamical Systems**

by

**D. Anosov, at al.**-

**Scholarpedia**

The encyclopedia covers differential equations, numerical analysis, bifurcations, topological dynamics, ergodic theory, hyperbolic dynamics, oscillators, pattern formation, chaos, statistical mechanics, control theory, and applications.

(

**10007**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.

(

**8588**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.

(

**5861**views)