On a class of functions with the graph box dimension .
Bărbulescu, Alina (2004)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Displaying similar documents to “Dimensions of subsets of Cantor-type sets.”
On a class of functions with the graph box dimension .
On natural invariant measures on generalised iterated function systems.
Käenmäki, Antti (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems
J. Neunhäuserer (2010)
Mathematica Bohemica
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We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.
The Rhin-Viola method for log 2
Raffaele Marcovecchio (2009)
Acta Arithmetica
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Boundedness conditions of Hausdorff -measure in metric spaces.
Bărbulescu, Alina (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Hausdorff and packing dimensions for ergodic invariant measures of two-dimensional Lorenz transformations
Franz Hofbauer (2009)
Commentationes Mathematicae Universitatis Carolinae
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We extend the notions of Hausdorff and packing dimension introducing weights in their definition. These dimensions are computed for ergodic invariant probability measures of two-dimensional Lorenz transformations, which are transformations of the type occuring as first return maps to a certain cross section for the Lorenz differential equation. We give a formula of the dimensions of such measures in terms of entropy and Lyapunov exponents. This is done for two choices of the weights...