Physics – Mathematical Physics
Scientific paper
2003-04-05
Physics
Mathematical Physics
12 pages, 6 figures
Scientific paper
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 function of the scale of a d-dimensional partition of d-cubes, which is dithered to remove bias. Analytic expressions for dithered scale-local entropy and dimension for a uniform random point set are derived and compared to Monte Carlo results. Simulated nontrivial point-set correlations representing condensation and clustering are similarly analyzed.
Reid J. G.
Trainor Thomas A.
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