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19932026
Showing 2008 · math.DSShow all

6 papers · 2 filters

math.DS2008

Contributions to the Geometric and Ergodic Theory of Conservative Flows

Mario Bessa, Jorge Rocha

We prove the following dichotomy for vector fields in a C1-residual subset of volume-preserving flows: for Lebesgue almost every point all Lyapunov exponents equal to zero or its o…

math.DS2008★ 1 cited

Invariant measures for interval maps with critical points and singularities

Vitor Araujo, Stefano Luzzatto, Marcelo Viana

We prove that, under a mild summability condition on the growth of the derivative on critical orbits any piecewise monotone interval map possibly containing discontinuities and sin…

math.DS2008

Lorenz-like chaotic attractors revised

Vitor Araujo, Maria Jose Pacifico

We describe some recent results on the dynamics of singular-hyperbolic (or Lorenz-like) attractors: attractors in this class are expansive and so sensitive with respect to initial…

math.DS2008★ 6 cited

Hitting Time Statistics and Extreme Value Theory

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd

We consider discrete time dynamical systems and show the link between Hitting Time Statistics (the distribution of the first time points land in asymptotically small sets) and Extr…

math.DS2008★ 1 cited

Hamiltonian elliptic dynamics on symplectic 4-manifolds

Mario Bessa, Joao Lopes Dias

We consider C2 Hamiltonian functions on compact 4-dimensional symplectic manifolds to study elliptic dynamics of the Hamiltonian flow, namely the so-called Newhouse dichotomy. We s…

math.DS2008★ 9 cited

Dominated splitting and zero volume for incompressible three-flows

Vitor Araujo, Mario Bessa

We prove that there exists an open and dense subset of the incompressible 3-flows of class C^2 such that, if a flow in this set has a positive volume regular invariant subset with…