Quasiperiodic Patterns of the Complex Dimensions of Nonlattice Self-Similar Strings, via the LLL Algorithm

Quasiperiodic Patterns of the Complex Dimensions of Nonlattice Self-Similar Strings, via the LLL Algorithm

The Lattice String Approximation algorithm (or LSA algorithm) of M. L. Lapidus and M. van Frankenhuijsen is a procedure that approximates the complex dimensions of a nonlattice self-similar fractal string by the complex dimensions of a lattice self-similar fractal string. The implication of this pro...

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Bibliographic Details
Main Authors: Michel L. Lapidus, Machiel van Frankenhuijsen, Edward K. Voskanian
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematics
Subjects:
lattice and nonlattice self-similar strings
Diophantine approximation
geometric zeta function
complex dimensions
Dirichlet polynomial
roots of Dirichlet polynomials
Online Access:https://www.mdpi.com/2227-7390/9/6/591

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https://www.mdpi.com/2227-7390/9/6/591

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