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Jorge Milhazes Freitas

  1. From Rates of mixing to recurrence times via large deviations.

    Fri, 07/23/2010 - 15:01 — SomNambul
    Authors: Stefano Luzzatto, Jorge Milhazes Freitas, José F. Alves, Sandro Vaienti
    Subjects: Dynamical Systems
    Abstract

    A classic approach in dynamical systems is to use particular geometric
    structures to deduce statistical properties, for example the existence of
    invariant measures with stochastic-like behaviour such as large deviations or
    decay of correlations. Such geometric structures are generally highly
    non-trivial and thus a natural question is the extent to which this approach
    can be applied.

  2. Extreme values for Benedicks-Carleson quadratic maps.

    Thu, 06/17/2010 - 15:01 — SomNambul
    Authors: Ana Cristina Moreira Freitas, Jorge Milhazes Freitas
    Subjects: Dynamical Systems
    Abstract

    We consider the quadratic family of maps given by $f_{a}(x)=1-a x^2$ with
    $x\in [-1,1]$, where $a$ is a Benedicks-Carleson parameter.

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