Name
Abstract | ||
|---|---|---|
The iterative elimination of the middle spacing in the random division of intervals with two points "at random" - in the narrow sense of uniformly distributed generates a random middle Cantor set.We compute the Hausdorff dimension (which intuitively evaluates how "dense" a set is) of the random middle third Cantor set, and we verify that although the deterministic middle third Cantor set is the expectation of the random middle third Cantor set, it is more dense than its stochastic counterpart. This can be explained by the dependence of order statistics |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/ITI.2009.5196094 | PROCEEDINGS OF THE ITI 2009 31ST INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY INTERFACES |
Keywords | Field | DocType |
Order statistics, uniform spacings, random middle third Cantor set, Hausdorff dimension | Cantor's diagonal argument,Null set,Discrete mathematics,Combinatorics,Cantor's theorem,Uncountable set,Cantor set,Sierpinski carpet,Cantor function,Mathematics,Random compact set | Conference |
ISSN | Citations | PageRank |
1330-1012 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dinis Pestana | 1 | 8 | 4.00 |
| Sandra M. Aleixo | 2 | 1 | 1.98 |
| J. Leonel Rocha | 3 | 4 | 5.33 |