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Pascal's triangle, dynamical systems and attractors

Published online by Cambridge University Press:  19 September 2008

Fritz V. Haeseler ,
Heinz-Otto Peitgen  and
Gencho Skordev
Fritz V. Haeseler
Affiliation:
Center for Complex Systems and Visualization, Institute for Dynamical Systems, University of Bremen, D-2800 Bremen, 33, Germany
Heinz-Otto Peitgen
Affiliation:
Center for Complex Systems and Visualization, Institute for Dynamical Systems, University of Bremen, D-2800 Bremen, 33, Germany
Gencho Skordev
Affiliation:
Center for Complex Systems and Visualization, Institute for Dynamical Systems, University of Bremen, D-2800 Bremen, 33, Germany
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Abstract

This paper establishes a global dynamical systems approach for the fractal patterns which are obtained when analysing the divisibility of binomial coefficients modulo a prime power. The general framework is within the class of hierarchical iterated function systems. As a consequence we obtain a complete deciphering of the hierarchical self-similarity features.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 3 , September 1992 , pp. 479 - 486
Copyright
Copyright © Cambridge University Press 1992

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