Vilton Pinheiro
Backward volume contraction for endomorphisms with eventual volume expansion.
Пт, 10/23/2009 - 04:10 — SomNambulAuthors: Vilton Pinheiro, Armando Castro, J. F. Alves
Subjects: Dynamical Systems
AbstractWe consider smooth maps on compact Riemannian manifolds. We prove that under
some mild condition of eventual volume expansion Lebesgue almost everywhere we
have uniform backward volume contraction on every pre-orbit of Lebesgue almost
every point.Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction.
Втр, 09/01/2009 - 12:47 — SomNambulAuthors: Jose F. Alves, Vilton Pinheiro
Subjects: Dynamical Systems
AbstractWe consider a partially hyperbolic set $K$ on a Riemannian manifold $M$ whose
tangent space splits as $T_K M=E^{cu}\oplus E^{s}$, for which the
centre-unstable direction $E^{cu}$ expands non-uniformly on some local unstable
disk. We show that under these assumptions $f$ induces a Gibbs-Markov
structure. Moreover, the decay of the return time function can be controlled in
terms of the time typical points need to achieve some uniform expanding
behavior in the centre-unstable direction.- Читать далее
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Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction.
Втр, 09/01/2009 - 12:47 — SomNambulAuthors: Jose F. Alves, Vilton Pinheiro
Subjects: Dynamical Systems
AbstractWe consider a partially hyperbolic set $K$ on a Riemannian manifold $M$ whose
tangent space splits as $T_K M=E^{cu}\oplus E^{s}$, for which the
centre-unstable direction $E^{cu}$ expands non-uniformly on some local unstable
disk. We show that under these assumptions $f$ induces a Gibbs-Markov
structure. Moreover, the decay of the return time function can be controlled in
terms of the time typical points need to achieve some uniform expanding
behavior in the centre-unstable direction.- Читать далее
- login or register to post comments
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