Multifractal analysis of non-conformal repellers: a model case |
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| Authors: | Luis Barreira Lucian Radu§ |
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| Affiliation: | 1. Departamento de Matemática , Instituto Superior Técnico , 1049-001 Lisboa , Portugal;2. Departamento de Matemática , Universidade do Minho , Campus de Gualtar, 4710-057 Braga , Portugal |
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| Abstract: | For a model class of repellers of non-conformal expanding maps, we obtain sharp lower bounds for the dimension spectra of the Birkhoff averages of a Hölder continuous function. As in the well-studied case of conformal dynamics, the bounds are also expressed here in terms of the thermodynamic formalism. |
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