Given a sequence of random variables X_1, X_2, X_3,....., extreme statistics is concerned with the limiting distribution of the Maximum: M_n=Max(X_1,...X_n), (under a linear scaling perhaps) as time n goes to infinity.
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We construct a renormalization scheme based on multidimensional continued fractions in
order to describe conjugacy classes of quasiperiodic dynamics close to integrable. We
will be looking mainly at skew-product flows, Hamiltonian systems and toroidal flows.

In this talk we introduce an algorithmic method for the analysis of the global structure of dynamics in a dynamical system generated by a continuous map in R^n. The recurrent dynamics is captured in a Conley-Morse decomposition, leaving gradient-like dynamics in the remainder of the phase space....

Serão introduzidos e estudados, de um ponto de vista combinatório-topológico, alguns semigrupos de sistemas dinâmicos não-determinísticos contínuos. A estabilidade combinatória, i.e. a persistência da combinatória dos atractores, será caracterizada e a sua generecidade será estabelecida. Algumas...

Os fenómenos de degenerescência e as condições necessárias de optimalidade capazes de os evitar são um tema clássico e bem estudado no caso de problemas de programação matemática.
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The existence of acips for interval maps with critical points is usually related to the growth-rate of derivatives along the critical orbits. Recent results by Bruin, Shen and van Strien show that no growth is actually needed for unimodal maps, and more recently a new proof (with Rivera-Letelier)...

Understanding the asymptotic dynamics of the Universe is one of the main goals of theoretical cosmology. In the context of homogeneous cosmological models, where the Einstein equations of general relativity reduce to a system of ordinary differential equations, our knowledge on this problem has...

Usually in dynamics one studies iterates of a single map, but it turns out that many results go through for sequences of maps. Here we study a specific example:we extend a theorem on Anosov toral automorphisms found independently by Adler and Manning to hyperbolic sequences of maps: assuming the...

A body moves through a medium consisting of point particles. The medium is very rare, so that the mutual interaction of the particles is neglected. Interaction of the particles with the body is absolutely elastic. We consider the following problem: find the body, from a given class of bodies,...