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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Bărbulescu, Alina (2004)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Käenmäki, Antti (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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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.
Raffaele Marcovecchio (2009)
Acta Arithmetica
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Bărbulescu, Alina (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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...
Vincenzo Aversa, Christoph Bandt (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Panchenko, Dmitriy (2001)
Electronic Communications in Probability [electronic only]
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Wolf, Edwin (1989)
International Journal of Mathematics and Mathematical Sciences
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