A survey of complex dimensions, measurability, and the lattice/nonlattice dichotomy

The theory of complex dimensions of fractal strings developed by Lapidus and van Frankenhuijsen has proven to be a powerful tool for the study of Minkowski measurability of fractal subsets of the real line. In a very general setting, the Minkowski measurability of such sets is characterized by the s...

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Bibliographic Details
Main Authors: Giza, Robert, Morales, Rafael, Rock, John A., Knox, Christina, Kurianski, Kristin M
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Institute of Mathematical Sciences (AIMS) 2017
Online Access:http://hdl.handle.net/1721.1/110078
https://orcid.org/0000-0002-7550-4049