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Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes
(Kluwer Academic/plenum Publ, 2001-12-01)
This is the first paper in a two-part series devoted to studying the Hausdorff dimension of invariant sets of non-uniformly hyperbolic, non-conformal maps. Here we consider a general abstract model, that we call piecewise ...
Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes
(Kluwer Academic/plenum Publ, 2001-12-01)
This is the first paper in a two-part series devoted to studying the Hausdorff dimension of invariant sets of non-uniformly hyperbolic, non-conformal maps. Here we consider a general abstract model, that we call piecewise ...
Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes
(Kluwer Academic/plenum Publ, 2014)
Mean Dimension and Metric Mean Dimension for Non-autonomous Dynamical Systems
(Cartagena de Indias, 2020-10-07)
In this paper we extend the definitions of mean dimension and metric mean dimension for non-autonomous dynamical systems. We show some properties of this extension and furthermore some applications to the mean dimension ...
SCHOOL TYPOLOGY AND 3D DYNAMICS: STUDY OF THE BEHAVIOURAL MECHANISMS ALLOWING ADAPTATIONS OF COLLECTIVE STRUCTURE TO ENVIRONMENTAL CHANGES
(Universidad de Concepción.Facultad de Ciencias Naturales y Oceanográficas., 2004)
A descriptor of speckle textures using box fractal dimension curve
(Elsevier, 2018-02)
We propose a simple generalization of the box fractal dimension in images by considering the curve obtained from its value as a function of the binarization threshold. This curve can be used to partially describe ordinary ...
On the dimensions of a family of overlapping self-affine carpets
(Cambridge University Press, 2016-12)
We consider the dimensions of a family of self-affine sets related to the Bedford-McMullen carpets. In particular, we fix a Bedford-McMullen system and then randomise the translation vectors with the stipulation that the ...
Mean dimension and a non-embeddable example for amenable group actions
(Polish Acad Sciences Inst Mathematics-Impan, 2021)
For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G-action of mean dimension d/2 which cannot be embedded in the full G-shift on ([0,1](d))(G) .
Heart Rate Variability Analysis: Higuchi and Katz's Fractal Dimensions in Subjects with Type 1 Diabetes Mellitus
(2018-09-01)
Background and aims: Statistical markers are valuable when assessing physiological status over periods of time and in certain disease states. We assess if type 1 diabetes mellitus promote modification in the autonomic ...