The maximum entropy principle and the nature of fractals
We apply the Principle of Maximum Entropy to the study of a general class of deterministic fractal sets. The scaling laws peculiar to these objects are accounted for by means of a constraint concerning the average content of information in those patterns. This constraint allows for a new statistical...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/126420 |
| Acceso en línea: | https://hdl.handle.net/2117/126420 https://dx.doi.org/10.1016/S0378-4371(97)00571-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractals Statistics Fractals Statistics MaxEnt Estadística Àrees temàtiques de la UPC::Física |
| Sumario: | We apply the Principle of Maximum Entropy to the study of a general class of deterministic fractal sets. The scaling laws peculiar to these objects are accounted for by means of a constraint concerning the average content of information in those patterns. This constraint allows for a new statistical characterization of fractal objects and fractal dimension. |
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