Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3
Resumen:
We show that within a C1-neighbourhood U of the set of volume preserving Anosov diffeomorphisms on the three-torus T3 which are strongly partially hyperbolic with expanding center, any f∈U∩Diff2(T3) satisfies the dichotomy: either the strong stable and unstable bundles Es and Eu of f are jointly integrable, or any fully supported u-Gibbs measure of f is SRB.
| 2022 | |
| ANII: FCE_3_2018_1_148740 | |
| Dynamical Systems | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/34994 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | We show that within a C1-neighbourhood U of the set of volume preserving Anosov diffeomorphisms on the three-torus T3 which are strongly partially hyperbolic with expanding center, any f∈U∩Diff2(T3) satisfies the dichotomy: either the strong stable and unstable bundles Es and Eu of f are jointly integrable, or any fully supported u-Gibbs measure of f is SRB. |
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