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您的检索式：作者名="Mrio BESSA"
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| 1 | Trivial and Simple Spectrum for SL(d,R) Cocycles with Free Base and Fiber Dynamics显示文摘Let AC_D(M,SL(d,R))dcnote the pairs(f,A)so that f∈ADiff^1(M)is a C^1-Anosov transitive diffeomorphisms and A is an SL(d,R)cocycle dominated with respect to f.We prove that open and densely in ACd(M,SL(d,R)),in appropriate topologies,the pair(f,A)has simple spectrum with respect to the unique maximal entropy measureμf.Then,we prove prevalence of trivial spectrum near the dynamical cocycle of an area-preserving map and also for generic cocycles in AutLeb(M)×L^p(M,SL(d,R)). | Mrio BESSA Paulo VARANDAS | 2015 | Acta Mathematica Sinica,English Series2015，31，7： | 0 |
| 2 | Stable Weakly Shadowable Volume-preserving Systems Are Volume-hyperbolic显示文摘We prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E ⊕ F. Moreover, both E and F are volume-hyperbolic. Finally, we prove the version of this result for divergence-free vector fields. As a consequence, in low dimensions, we obtain global hyperbolicity. | Mrio BESSA Manseob LEE Sandra VAZ | 2014 | Acta Mathematica Sinica,English Series2014，30，6： | 1 |
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