Glendinning, Paul and Smith, Leonard A. (2012) Lacunarity and Period-doubling. [MIMS Preprint]
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Abstract
We show that the deviation from power laws of the scaling of chaotic measures such as Lyapunov exponents and topological entropy is periodic in the logarithm of the distance from the accumulation of period doubling. Moreover, this periodic function is asymptotically universal for each measure (for functions in the appropriate universality class). This is related to the concept of lacunarity known to exist for scaling functions describing the mass distribution of self-similar fractal sets.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | CICADA |
| Uncontrolled Keywords: | lacunarity, fractal, period-doubling, universality class |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory |
| Depositing User: | Professor Paul Glendinning |
| Date Deposited: | 03 Aug 2012 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1854 |
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