Items related to Substitutions in Dynamics, Arithmetics and Combinatorics

Substitutions in Dynamics, Arithmetics and Combinatorics - Softcover

 
9783662212264: Substitutions in Dynamics, Arithmetics and Combinatorics

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Synopsis

Basic notions on substitutions.- Basic notions on substitutions.- Arithmetics and combinatorics of substitutions.- Substitutions, arithmetic and finite automata: an introduction.- Automatic sequences and transcendence.- Substitutions and partitions of the set of positive integers.- Dynamics of substitutions.- Substitutions and symbolic dynamical systems.- Sturmian Sequences.- Spectral theory and geometric representation of substitutions.- Diophantine approximations, substitutions, and fractals.- Extensions to free groups and interval transformations.- Infinite words generated by invertible substitutions.- Polynomial dynamical systems associated with substitutions.- Piecewise linear transformations of the unit interval and Cantor sets.- Some open problems.- A. Undecomposable matrices in dimension 3 (by J. Rivat).

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Other Popular Editions of the Same Title

9783540441410: Substitutions in Dynamics, Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol. 1794)

Featured Edition

ISBN 10:  3540441417 ISBN 13:  9783540441410
Publisher: Springer, 2002
Softcover