… of spatial patterns to overall inequality. Our measure relies on the Gini correlation measure
… As such, our measure offers a new interpretation of the Gini correlation that traditionally has …

… dimension of extensive chaos is determined by the average spatial disorder as measured by
the spatial correlation … For spatial dimension d'= 1, the dimension density ồ should be linear …

… We show that practically any value for the correlation dimension … to evaluate multifractal
measures of dimension. Taking into … dependent earthquake fractal spatial dimension (see also …

… Notice that all the plots are straight lines for a long range of scales, and that their slopes
are extremely close to the measured Correlation fractal dimension D2= 1.587 of the point-set. …

… relationships between spatial autocorrelation and spatial dimension. The … the spatial
correlation dimension is a relative measure and is always valid within certain range of measurement …

… One product of this work is improved accuracy in the measured correlation dimension of several
… are over the whole space of the mapping. We take the measure to satisfy the Frobenius–…

… functions on three-dimensional Euclidean space R3. Among … vanish identically on subsets
of positive measure on S'. It is … compactly supported and space-limited correlation functions. …

… analysis, based on phase space reconstructions, which can … involves correlation dimension
estimates from phase space … refer to phase space embeddings and correlation dimension …

… embedded data is largely a measure of linear cross-correlation in the data set. …
correlation between spatial correlation dimension and the average amount of lag-zero crosscorrelation …

… The CD is introduced in [1] as a characteristic measure of strange attractors that allows …
will be spatially correlated. This spatial correlation is measured by the correlation integral CI(…