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dc.contributor.author
Piacquadio, Maria Natividad  
dc.contributor.author
Rosen, Marta  
dc.date.available
2017-07-10T21:44:46Z  
dc.date.issued
2007-05  
dc.identifier.citation
Piacquadio, Maria Natividad; Rosen, Marta; Multifractal Spectrum of an Experimental (Video Feedback) Farey Tree; Springer; Journal of Statistical Physics; 127; 4; 5-2007; 783-804  
dc.identifier.issn
0022-4715  
dc.identifier.uri
http://hdl.handle.net/11336/20081  
dc.description.abstract
A camera films a screen to which it is connected. It films its own image, feeding back the image to the screen. The camera can turn around an optical axis. A pattern of p light spots on the screen and q turns (feedback loops) of the camera appears, where p and q follow the hierarchy of a Farey tree. The Farey tree induces a measure distribution μ on the unit segment, different from the hyperbolic one μH induced by the Farey-Brocot interpolation. In this paper the multifractal spectrum of μ is studied and compared with that of μH; the study of the latter spectrum is refined. The spectra are studied in this paper by means of different tools from Number Theory. The results of this study are interpreted in terms of p and q, empirically obtained in the video feedback experiment.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Farey-Tree  
dc.subject
Brocot  
dc.subject
Multifractality  
dc.subject
Hausdorff Measure  
dc.subject
Number Theory  
dc.subject.classification
Otras Ingeniería Química  
dc.subject.classification
Ingeniería Química  
dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS  
dc.title
Multifractal Spectrum of an Experimental (Video Feedback) Farey Tree  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-10T14:53:38Z  
dc.identifier.eissn
1572-9613  
dc.journal.volume
127  
dc.journal.number
4  
dc.journal.pagination
783-804  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlín  
dc.description.fil
Fil: Piacquadio, Maria Natividad. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina  
dc.description.fil
Fil: Rosen, Marta. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Houssay. Instituto de Tecnologías y Ciencias de la Ingenieria "Hilario Fernandez Long". Grupo Vinculado al Intecin - Grupo Interdisciplinario en Materiales; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina  
dc.journal.title
Journal of Statistical Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10955-006-9217-5  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10955-006-9217-5