Golden tilings
Resumen:
We introduce the notion of golden tilings, and we prove a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, (ii) affine classes of golden tilings and (iii) solenoid functions. The solenoid functions give a parametrization of the infinite dimensional space consisting of the mathematical objects described in the above equivalences.
| 2012 | |
| Apoyo financiero de : Fundación Calouste Gulbenkian, PRODYN-ESF, POCTI y POSI de la FCT, y al Ministerio de Ciencia y Tecnología y al Programa de Financiación Plurianual de LIAAD-INESC Porto LA y del Centro de Investigación de Matemáticas de la Universidad de Minho | |
|
Anosov diffeomorphisms Circle diffeomorphisms Dynamics Renormalization Solenoid functions Tilings |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/55052 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
