On the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials
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Title: | On the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials |
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Authors: | Dubon, Eric | Sepulcre, Juan Matias |
Research Group/s: | Curvas Alpha-Densas. Análisis y Geometría Local |
Center, Department or Service: | Universidad de Alicante. Departamento de Análisis Matemático |
Keywords: | Dirichlet polynomials | Fractal strings | Complex dimensions of fractal strings | Set of dimensions of fractality | Zeros of entire functions |
Knowledge Area: | Análisis Matemático |
Issue Date: | 12-Mar-2014 |
Publisher: | Taylor & Francis |
Citation: | Experimental Mathematics. 2014, 23(1): 13-24. doi:10.1080/10586458.2013.853630 |
Abstract: | In this paper we give a new characterization of the closure of the set of the real parts of the zeros of a particular class of Dirichlet polynomials that is associated with the set of dimensions of fractality of certain fractal strings. We show, for some representative cases of nonlattice Dirichlet polynomials, that the real parts of their zeros are dense in their associated critical intervals, confirming the conjecture and the numerical experiments made by M. Lapidus and M. van Frankenhuysen in several papers. |
Sponsor: | The second author was partially supported by Vicerrectorado de Investigación, Desarrollo e Innovación de la Universidad de Alicante under project GRE11-23. |
URI: | http://hdl.handle.net/10045/45566 |
ISSN: | 1058-6458 (Print) | 1944-950X (Online) |
DOI: | 10.1080/10586458.2013.853630 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © Taylor & Francis Group, LLC |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1080/10586458.2013.853630 |
Appears in Collections: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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2014_Dubon_Sepulcre_ExperimMath_final.pdf | Versión final (acceso restringido) | 231,04 kB | Adobe PDF | Open Request a copy |
2014_Dubon_Sepulcre_ExperimMath_Accepted.pdf | Accepted Manuscript (acceso abierto) | 248,17 kB | Adobe PDF | Open Preview |
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