Hausdorff dimension of the graph of a continuous function: Deterministic upper bounds and almost sure lower bounds (Q2732237)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hausdorff dimension of the graph of a continuous function: Deterministic upper bounds and almost sure lower bounds |
scientific article; zbMATH DE number 1623436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hausdorff dimension of the graph of a continuous function: Deterministic upper bounds and almost sure lower bounds |
scientific article; zbMATH DE number 1623436 |
Statements
18 June 2002
0 references
Hausdorff dimension
0 references
graph
0 references
wavelets
0 references
Besov spaces
0 references
almost sure bounds
0 references
random functions
0 references
Hausdorff dimension of the graph of a continuous function: Deterministic upper bounds and almost sure lower bounds (English)
0 references
The author finds an upper bound for the Hausdorff dimension of the graph of a continuous function depending on its wavelet coefficients in a sufficiently regular wavelet basis. In particular, this bound is related to the Besov smoothness of the function. An almost sure lower bound for this Hausdorff dimension is obtained for some specific classes of random functions.
0 references
0.8618504405021667
0 references
0.8213408589363098
0 references
0.8095465898513794
0 references
0.7870796322822571
0 references
