On a conjecture of Lapidus and van Frankenhuysen
| Contribuinte(s) |
Universidad de Alicante. Departamento de Matemáticas Curvas Alpha-Densas. Análisis y Geometría Local |
|---|---|
| Data(s) |
10/02/2016
10/02/2016
01/09/2015
|
| Resumo |
In this paper it is shown that a conjecture of Lapidus and van Frankenhuysen of 2003 on the existence of a vertical line such that the density of the complex dimensions of nonlattice fractal strings with M scaling ratios off this line vanishes in the limit as M→∞, fails on the class of nonlattice self-similar fractal strings. |
| Identificador |
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2015, 109(2): 747-757. doi:10.1007/s13398-014-0213-3 1578-7303 (Print) 1579-1505 (Online) http://hdl.handle.net/10045/52992 10.1007/s13398-014-0213-3 |
| Idioma(s) |
eng |
| Publicador |
Springer Milan |
| Relação |
http://dx.doi.org/10.1007/s13398-014-0213-3 |
| Direitos |
© Springer-Verlag Italia 2014. The final publication is available at Springer via http://dx.doi.org/10.1007/s13398-014-0213-3 info:eu-repo/semantics/restrictedAccess |
| Palavras-Chave | #Fractal strings #Nonlattice self-similar fractal strings #Dirichlet polynomials #Análisis Matemático |
| Tipo |
info:eu-repo/semantics/article |
