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Convergence of renormalisation and rigidity of dynamical systems
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Pinto, Alberto A. (1991) Convergence of renormalisation and rigidity of dynamical systems. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1409527~S1
Abstract
Motivated by problems in the theory of renormalisation of dynamical systems, we study the properties of Markov families and fractals defined by embedded trees. Our main results concern the classification of Ck+a structures. Two topologically equivalent Markov families are Ck+a conjugate if they converge together rapidly enough. This result implies that the attractors of two systems at the accumulation point of periodic doubling are C2.11 conjugate. We also introduce and study the limit set of an exponential determined Markov family.
| Item Type: | Thesis (PhD) | ||||
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| Subjects: | Q Science > QA Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Differentiable dynamical systems | ||||
| Official Date: | 1991 | ||||
| Dates: |
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| Institution: | University of Warwick | ||||
| Theses Department: | Mathematics Institute | ||||
| Thesis Type: | PhD | ||||
| Publication Status: | Unpublished | ||||
| Supervisor(s)/Advisor: | Rand, D. A. (David A.) | ||||
| Sponsors: | Fundação Calouste Gulbenkian (FCG) | ||||
| Extent: | 161 leaves |
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