Substitution Dynamical Systems - Spectral Analysis

2010 ◽  
Author(s):  
Martine Queffélec
Keyword(s):  
Spectral Analysis ◽  
Dynamical Systems ◽  
Substitution Dynamical Systems

Examples of Spectral Analysis of Dynamical Systems

1982 ◽  
pp. 338-355
Author(s):  
I. P. Cornfeld ◽  
S. V. Fomin ◽  
Ya. G. Sinai
Keyword(s):  
Spectral Analysis ◽  
Dynamical Systems

scholarly journals Substitution dynamical systems on infinite alphabets

2006 ◽  
Vol 56 (7) ◽  
pp. 2315-2343 ◽  
Author(s):  
Sébastien Ferenczi
Keyword(s):  
Dynamical Systems ◽  
Substitution Dynamical Systems

scholarly journals Self-affine tiling via substitution dynamical systems and Rauzy fractals

2002 ◽  
Vol 206 (2) ◽  
pp. 465-485 ◽  
Author(s):  
Víctor F. Sirvent ◽  
Yang Wang
Keyword(s):  
Dynamical Systems ◽  
Substitution Dynamical Systems

Spectral analysis of conservative dynamical systems

1989 ◽  
Vol 63 (12) ◽  
pp. 1226-1229 ◽  
Author(s):  
Miguel Angel Sepúlveda ◽  
Remo Badii ◽  
Eli Pollak
Keyword(s):  
Spectral Analysis ◽  
Dynamical Systems

Spectral analysis of certain compact factors for Gaussian dynamical systems

1997 ◽  
Vol 98 (1) ◽  
pp. 307-328 ◽  
Author(s):  
Mariusz Lemańczyk ◽  
José de Sam Lazaro
Keyword(s):  
Spectral Analysis ◽  
Dynamical Systems

scholarly journals Invariant measures on stationary Bratteli diagrams

2009 ◽  
Vol 30 (4) ◽  
pp. 973-1007 ◽  
Author(s):  
S. BEZUGLYI ◽  
J. KWIATKOWSKI ◽  
K. MEDYNETS ◽  
B. SOLOMYAK
Keyword(s):  
Dynamical Systems ◽  
Equivalence Relation ◽  
Complex Number ◽  
Incidence Matrix ◽  
Invariant Measures ◽  
Explicit Description ◽  
Bratteli Diagram ◽  
Probability Measures ◽  
Bratteli Diagrams ◽  
Substitution Dynamical Systems

AbstractWe study dynamical systems acting on the path space of a stationary (non-simple) Bratteli diagram. For such systems we give an explicit description of all ergodic probability measures that are invariant with respect to the tail equivalence relation (or the Vershik map); these measures are completely described by the incidence matrix of the Bratteli diagram. Since such diagrams correspond to substitution dynamical systems, our description provides an algorithm for finding invariant probability measures for aperiodic non-minimal substitution systems. Several corollaries of these results are obtained. In particular, we show that the invariant measures are not mixing and give a criterion for a complex number to be an eigenvalue for the Vershik map.

Sign in / Sign up

Export Citation Format

Share Document