Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1014.11015
Pytheas Fogg, N. (ed.); Berthé, Valérie (ed.); Ferenczi, Sébastien (ed.); Mauduit, Christian (ed.); Siegel, A. (ed.)
Substitutions in dynamics, arithmetics and combinatorics. (English)
[B] Lecture Notes in Mathematics. 1794. Berlin: Springer. xv, 402 p. EUR 57.95/net; sFr. 96.50; \sterling 40.50; \$ 76.80 (2002). ISBN 3-540-44141-7/pbk

This collective book, published under the pseudonym N. Pytheas Fogg, based on courses given by the authors in several universities and during several summer schools, addresses the study of substitutions from the triple point of view of dynamics, arithmetics, and combinatorics: from transcendence to partitions, from symbolic (substitutive) dynamical systems to Sturmian sequences, from spectral theory to Diophantine approximations and fractals, from invertible substitutions to polynomial substitutive dynamical systems, from piecewise linear transformations of the unit interval to Cantor sets. The twelve chapters written by ten authors and the appendix written by an eleventh author give an eclectic variety of themes that is both pleasant to read and filled with many results and ideas. \par The book ends with a large bibliography of 469 items. Actually the numbers corresponding to references quoted in the chapters after the first are shifted by 1 roughly after [100], but the correctly numbered bibliography is freely accessible at {\tt http://link.springer.de/series/lnm}.
[Jean-Paul Allouche (Orsay)]

MSC 2000:: *11B85 Automata sequences
11-02 Research monographs (number theory)
37-02 Research exposition (Dynamical systems and ergodic theory)
05-02 Research monographs (combinatorics)
68Q45 Formal languages
68R15 Combinatorics on words
11A55 Continued fractions (number-theoretic results)
11A63 Radix representation
11J70 Continued fractions and generalizations
37B10 Symbolic dynamics
28D99 Measure-theoretic ergodic theory
37A45 Relations of ergodic theory with number theory and harmonic analysis
05A17 Partitions of integres (combinatorics)

Keywords: substitutions; transcendence; partitions; dynamical systems; Sturmian sequences; spectral theory; Diophantine approximations; fractals; invertible substitutions; polynomial substitutive dynamical systems; piecewise linear transformations of the unit interval; Cantor sets

Cited in: Zbl 1247.37012 Zbl 1022.11012

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]