6533b827fe1ef96bd1285b90
RESEARCH PRODUCT
Hausdorff dimension from the minimal spanning tree
Rosa Domínguez-tenreiroVicent J. MartínezL. J. Roysubject
CombinatoricsDiscrete mathematicsHausdorff distancePacking dimensionHausdorff dimensionMathematicsofComputing_NUMERICALANALYSISMinkowski–Bouligand dimensionDimension functionHausdorff measureUrysohn and completely Hausdorff spacesEffective dimensionMathematicsdescription
A technique to estimate the Hausdorff dimension of strange attractors, based on the minimal spanning tree of the point distribution is extensively tested in this work. This method takes into account in some sense the infimum requirement appearing in the definition of the Hausdorff dimension. It provides accurate estimates even for a low number of data points and it is especially suited to high-dimensional systems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-01-01 | Physical Review E |