On the existence of fractal strings whose set of dimensions of fractality is not perfect
| Contribuinte(s) |
Universidad de Alicante. Departamento de Análisis Matemático Curvas Alpha-Densas. Análisis y Geometría Local |
|---|---|
| Data(s) |
26/06/2014
26/06/2014
01/01/2014
|
| Resumo |
In this paper we give an example of a nonlattice self-similar fractal string such that the set of real parts of their complex dimensions has an isolated point. This proves that, in general, the set of dimensions of fractality of a fractal string is not a perfect set. |
| Identificador |
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 2014, Jan. doi:10.1007/s13398-014-0164-8 1578-7303 (Print) 1579-1505 (Online) http://hdl.handle.net/10045/38403 10.1007/s13398-014-0164-8 |
| Idioma(s) |
eng |
| Publicador |
Springer Italia |
| Relação |
http://dx.doi.org/10.1007/s13398-014-0164-8 |
| Direitos |
The final publication is available at Springer via http://dx.doi.org/10.1007/s13398-014-0164-8 info:eu-repo/semantics/openAccess |
| Palavras-Chave | #Nonlattice Dirichlet polynomials #Fractal strings #Nonlattice self-similar fractal strings #30D20 #28A80 #Análisis Matemático |
| Tipo |
info:eu-repo/semantics/article |
