Paulo Varandas
Robust exponential decay of correlations for singular-flows.
Втр, 01/18/2011 - 16:01 — SomNambulAuthors: Paulo Varandas, Vitor Araujo
Subjects: Dynamical Systems
AbstractWe construct open sets of Ck (k bigger or equal to 2) vector fields with
singularities that have robust exponential decay of correlations and satisfy
the central limit theorem with respect to the unique physical measure. In
particular we prove that the geometric Lorenz attractor has exponential decay
of correlations with respect to the unique physical measure.Non-uniform specification and large deviations for weak Gibbs measures.
Ср, 02/24/2010 - 16:01 — SomNambulAuthors: Paulo Varandas
Subjects: Dynamical Systems
AbstractWe establish bounds for the measure of deviation sets associated to
continuous observables with respect to not necessarily invariant weak Gibbs
measures. Under some mild assumptions, we obtain upper and lower bounds for the
measure of deviation sets of some non-uniformly expanding transformations,
including quadratic maps and robust multidimensional nonuniformly expanding
local diffeomorphisms.- Читать далее
- login or register to post comments
On the entropy of conservative flows.
Пт, 02/12/2010 - 16:01 — SomNambulAuthors: Mario Bessa, Paulo Varandas
Subjects: Dynamical Systems
AbstractWe obtain a $C^1$-generic subset of the incompressible flows in a closed
three-dimensional manifold where Pesin's entropy formula holds thus
establishing the continuous-time version of \cite{T}. Moreover, in any compact
manifold of dimension larger or equal to three we obtain that the metric
entropy function and the integrated upper Lyapunov exponent function are not
continuous with respect to the $C^1$ Whitney topology. Finally, we establish
the $C^2$-genericity of Pesin's entropy formula in the context of Hamiltonian
four-dimensional flows.
Вход в систему
