Rigidity in Dynamics
W. de Melo
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 15, Number 5
(2008), 789-796.
Abstract
In this paper we will review several results of rigidity in one-dimensional dynamics and its relation to renormalization. In many one dimensional dynamical systems the existence of a topological conjugacy between two mappings implies that the restriction of the conjugacy to the attractor extends to a smooth mapping. Thus the combinatorics imposes severe restrictions on the geometry of the attractor.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1228486407
Mathematical Reviews number (MathSciNet): MR2484132
Zentralblatt MATH identifier: 1153.37370
Bulletin of the Belgian Mathematical Society - Simon Stevin
