9 citations · 10 across the 4 of their papers we have counts for
4 papers
Minkowski dimension and explicit tube formulas for -adic fractal strings
Michel L. Lapidus, Lũ' Hùng, Machiel van Frankenhuijsen
The local theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in…
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…
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…
Commensurate Scale Relations: Precise Tests of Quantum Chromodynamics without Scale or Scheme Ambiguity
Stanley J. Brodsky, Hung Lung Lu
We derive commensurate scale relations which relate perturbatively calculable QCD observables to each other, including the annihilation ratio, the heavy quark potential, tau decay,…