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Title: Convergence of renormalisation and rigidity of dynamical systems
Author: Pinto, Alberto Adrego
ISNI:       0000 0001 2102 582X
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1991
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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.
Supervisor: Not available Sponsor: Fundação Calouste Gulbenkian (FCG)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics Mathematics