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math.FA2007
Renyi Dimension and Gaussian Filtering II
Terry A. Loring
We consider convolving a Gaussian of a varying scale epsilon against a Borel measure mu on Euclidean delta-dimensional space. The Lq norm of the result is differentiable in epsilon…
math.FA2006
Renyi Dimension and Gaussian Filtering
Terry A. Loring
Consider the partition function S(ε) associated in theory of Renyi dimension to a finite Borel measure μon Euclidean d-space. This partion function S(ε) is the sum of the q-th powe…