Electronic Resource
Springer
Journal of statistical physics
50 (1988), S. 995-1020
ISSN:
1572-9613
Keywords:
Fractal dimensions
;
spectrum of singularities
;
invariant measures
;
homeomorphic conjugacies
;
critical circle maps
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We investigate the behavior of the spectrum of singularities associated with the invariant measure of some dynamical systems under nonsmooth coordinate changes. When the homeomorphic conjugacy is not Lipschitz continuous, we discuss how its singularities can affect the whole set of generalized fractal dimensions. We give applications to homeomorphisms that conjugate critical circle maps with irrational (golden mean) winding numbers. We present numerical studies corroborating the theoretical predictions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01019150
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