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math-ph2012★ 15 cited
Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension
Michel L. Lapidus, John A. Rock, Darko Žubrinić
We discuss a number of techniques for determining the Minkowski dimension of bounded subsets of some Euclidean space of any dimension, including: the box-counting dimension and equ…
math-ph2012
Multifractal analysis via scaling zeta functions and recursive structure of lattice strings
Rolando de Santiago, Michel L. Lapidus, Scott A. Roby +1
The multifractal structure underlying a self-similar measure stems directly from the weighted self-similar system (or weighted iterated function system) which is used to construct…