… 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 …

… For spatial dimension d'= 1, the dimension density ồ should be linear in the quantity 1/5 …
correlation length and so the fractal dimension is not related to spatial disorder as measured by …

… in the dimension determination need to be considered first. … Thus, we study the correlation
dimension of earthquake spatial … dependent earthquake fractal spatial dimension (see also …

… fractal) dimension. In this paper we show that, among the in nite family of … dimensions, the
so called "Correlation Dimension" D2 is the one that we need to predict the selectivity of spatial …

… a method for measuring the correlation integral at finite r and … accuracy in the measured
correlation dimension of several … of the measure that are shown to control the dimension. In …

… utilize spatial correlation dimension to make deep spatial … employ spatial autocorrelation
functions to make complex spatial … between spatial autocorrelation and spatial dimension. The …

… and space-limited correlation functions. Thus the second theme complements the first. Most
correlation … Sample correlations of geophysical fields rarely have such special symmetries; …

… to say that most populations are spatially subdivided (patchy). … of the cross-correlation (10)
coefficients (measuring the sign … This explains why a wide range of cross-correlation values is …

… Therefore, they will be spatially correlated. This spatial correlation is measured by the
correlation integral CI(r), where r has the meaning of a distance, defined according to …

… We propose a new measure to characterize the dimension of complex networks based on
the ergodic theory of dynamical systems. This measure is derived from the correlation sum of a …