TY  - BOOK
AU  - Blanchard,F.
AU  - Maass,A.
AU  - Nogueira,A.
TI  - Topics in symbolic dynamics and applications
T2  - London Mathematical Society lecture note series
SN  - 9780511758959 (ebook)
AV  - QA611.5 .T48 2000
U1  - 514/.74 21
PY  - 2000///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Symbolic dynamics
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Sequences of low complexity automatic and sturmain sequences --; Substitution subshifts and bratteli diagrams --; Algebraic aspects of symbolic dynamics --; Dynamics of Zd actions on markov subgroups --; Asymptotic laws for symbolic dynamical systems --; Ergodic theory and diophantine problems --; Number representation and finite automata --; Note the topological classification of lorenz maps on the interval
N2  - This book, first published in 2000, is devoted to developments in symbolic dynamics and comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following  two introduce 'high complexity' systems. Chapter five presents results on asymptotic laws for the random times of occurrence of rare events. Chapter six deals with diophantine problems and combinatorial Ramsey theory. Chapter seven looks at the dynamics of symbolic systems arising from numeration systems, and finally chapter eight gives a complete description of the symbolic dynamics of Lorenz maps
UR  - https://doi.org/10.1017/CBO9780511758959
ER  -