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                                       Details for article 95 of 120 found articles
 
 
  Self-similarity in piecewise isometric systems
 
 
Title: Self-similarity in piecewise isometric systems
Author: Poggiaspalla, G.
Appeared in: Dynamical systems
Paging: Volume 21 (2006) nr. 2 pages 147-189
Year: 2006-06-01
Contents: This paper deals with piecewise isometries and their scaling properties. We aim to present a general framework in which piecewise isometric dynamical systems can be fully or partially renormalized. We precisely describe the dynamics on fractal invariant sets by means of a conjugacy with substitution dynamical systems and Bratteli diagrams. We describe their geometrical properties in terms of graph-directed constructions and we compute their Hausdorff dimension. We also present an example of application to a continuous family of piecewise rotations.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 95 of 120 found articles
 
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