| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1891722 | Chaos, Solitons & Fractals | 2012 | 11 Pages |
Abstract
⺠We examine a new fractal dimension, the so called topological Hausdorff dimension. ⺠The generic continuous function has a level set of maximal Hausdorff dimension. ⺠This maximal dimension is the topological Hausdorff dimension minus one. ⺠Homogeneity implies that “most” level sets are of this dimension. ⺠We calculate the various dimensions of the graph of the generic function.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Richárd Balka, Zoltán Buczolich, Márton Elekes,