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math-ph2003
Scale-local dimensions of strange attractors
J. G. Reid, T. A. Trainor
We compare limit-based and scale-local dimensions of complex distributions, particularly for a strange attractor of the Henon map. Scale-local dimensions as distributions on scale…
math-ph2003
Correlation Analysis With Scale-local Entropy Measures
J. G. Reid, T. A. Trainor
A novel method for correlation analysis using scale-dependent Renyi entropies is described. The method involves calculating the entropy of a data distribution as an explicit functi…