Fabien Durand is Full Professor in Mathematics at Université de Picardie Jules Verne. His interests include topological dynamical systems and the relations with theoretical computer science. He is currently the president of the Société Mathématique de France.

Introduction; 1. Topological dynamical systems; 2. Ordered groups; 3. Ordered cohomology groups; 4. Partitions in towers; 5. Bratteli diagrams; 6. Substitution shifts and generalizations; 7. Dendric shifts; 8. Interval exchange transformations; 9. Bratteli diagrams and C*-algebras; Appendix A. Solutions to exercises; Appendix B. Useful definitions and results; Appendix C. Summary of examples; Appendix D. Equivalent definitions of Sturmian shifts; Appendix E. Open problems; References; Name index; Index of symbols; Subject index.