| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] ICMC USP, Dept Matemat, Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF MODERN DYNAMICS; v. 8, n. 1, p. 93-107, MAR 2014. |
| Web of Science Citations: | 8 |
| Abstract | |
In this paper we mainly address the problem of disintegration of Lebesgue measure along the central foliation of volume-preserving diffeomorphisms isotopic to hyperbolic automorphisms of 3-torus. We prove that atomic disintegration of the Lebesgue measure (ergodic case) along the central foliation has the peculiarity of being mono-atomic (one atom per leaf). This implies the measurability of the central foliation. As a corollary we provide open and nonempty subset of partially hyperbolic diffeomorphisms with minimal yet measurable central foliation. (AU) | |
| FAPESP's process: | 12/06553-9 - Partially hyperbolic diffeomorphisms: absolute continuity, rigidity, Lyapunov exponents |
| Grantee: | José Régis Azevedo Varão Filho |
| Support type: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 12/14620-8 - Fine ergodic properties of partially hyperbolic dynamical systems |
| Grantee: | Gabriel Ponce |
| Support type: | Scholarships abroad - Research Internship - Doctorate (Direct) |
| FAPESP's process: | 09/16792-8 - Fine ergodic properties of partially hyperbolic systems |
| Grantee: | Gabriel Ponce |
| Support type: | Scholarships in Brazil - Doctorate (Direct) |
| FAPESP's process: | 11/21214-3 - Absolute continuity of the central foliation for partially hyperbolic systems |
| Grantee: | José Régis Azevedo Varão Filho |
| Support type: | Scholarships in Brazil - Post-Doctorate |