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math.MG2012
Minkowski Measurability and Exact Fractal Tube Formulas for p-Adic Self-Similar Strings
Michel L. Lapidus, Lu Hung, Machiel van Frankenhuijsen
The theory of p-adic fractal strings and their complex dimensions was developed by the first two authors in [17, 18, 19], particularly in the self-similar case, in parallel with it…
math.MG2011
The Geometry of p-Adic Fractal Strings: A Comparative Survey
Michel L. Lapidus, Hung Lu
We give a brief overview of the theory of complex dimensions of real (archimedean) fractal strings via an illustrative example, the ordinary Cantor string, and a detailed survey of…