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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 3 of 3 (0.08 seconds)

Spelling suggestions: "subject:"boxcounting dimension"" "subject:"bycounting dimension""

1

Dimensions in Random Constructions.

Berlinkov, Artemi 05 1900 (has links)
We consider random fractals generated by random recursive constructions, prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide.
Geometrical constructions.
Fractals.
Dimension theory (Topology)
Packing measure
packing dimension
random fractals
box-counting dimension
2

Dimensions of statistically self-affine functions and random Cantor sets

Jones, Taylor 05 1900 (has links)
The subject of fractal geometry has exploded over the past 40 years with the availability of computer generated images. It was seen early on that there are many interesting questions at the intersection of probability and fractal geometry. In this dissertation we will introduce two random models for constructing fractals and prove various facts about them.
Statistically self-affine functions
box-counting dimension
random Cantor sets
Hausdorff dimension
Mathematics
3

Non-smooth saddle-node bifurcations II: Dimensions of strange attractors

Fuhrmann, G., Gröger, M., Jäger, T. 03 June 2020 (has links)
We study the geometric and topological properties of strange non-chaotic attractors created in non-smooth saddle-node bifurcations of quasiperiodically forced interval maps. By interpreting the attractors as limit objects of the iterates of a continuous curve and controlling the geometry of the latter, we determine their Hausdorff and box-counting dimension and show that these take distinct values. Moreover, the same approach allows us to describe the topological structure of the attractors and to prove their minimality.
info:eu-repo/classification/ddc/510
ddc:510

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