Ergodic Theorem
Mostrando 1-9 de 9 artigos, teses e dissertações.
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1. Densidade do conjunto de endomorfismos com medida maximizante suportada em órbita periódica / Density of the set of endomorphisms with maximizing measure suported on a periodic orbit
We prove the following theorem: Let M be a bondaryless, compact and connected Riemannian Manifold. Given an endomorphism f on M, a continuous function \\phi : M ightarrow R and \\epsilon >0, then there exist an endomorphism \\tilde f on M with d(f; \\tilde f) <\\epsilon such that, some \\phi-maximizing measure for \\tilde f is supported on a periodic orbit.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 26/04/2012
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2. On the aubry-mather theory for symbolic dynamics
We propose a new model of ergodic optimization for expanding dynamical systems: the holonomic setting. In fact, we introduce an extension of the standard model used in this theory. The formulation we consider here is quite natural if one wants a meaning for possible variations of a real trajectory under the forward shift. In other contexts (for twist maps, f
Publicado em: 2011
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3. Harmonic deformation of the Delaunay triangulation / Deformação harmônica da triangulação de Delaunay
Given a d-dimensional Poisson point process, we construct harmonic functions on the associated Delaunay triangulation, with linear assymptotic behaviour, as the limit of a noiseless harness process. These mappings allow us to find a new embedding for the Delaunay triangulation. We call it harmonic deformation of the graph.
Publicado em: 2009
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4. ERGODICITY AND ROBUST TRANSITIVITY ON THE REAL LINE / TRANSITIVIDADE ROBUSTA E ERGODICIDADE DE APLICAÇÕES NA RETA
In the middle of the 19th century, G. Boole proved that the transformation x ->x ¿ 1/x, defined on R ¿ {0}, is a Lebesgue measure preserving transformation (Ble). Over one hundred years later, R. Adler and B.Weiss proved that this map, called Boole`s map, is, in fact, ergodic with respect to the Lebesgue measure (Adl). In this work, we present the notion o
Publicado em: 2007
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5. CONTINUED FRACTIONS: ERGODIC AND APPROXIMATION PROPERTIES / FRAÇÕES CONTÍNUAS: PROPRIEDADES ERGÓDICAS E DE APROXIMAÇÃO
We study the theory of continued fractions emphasizing the interaction between theory of numbers (expansion of numbers, diophantine approximations, best approximations) and ergodic theory. We study the Gauss transformation and construct its ergodic measure. Using the Birkhoff Ergodic Theorem we obtain results about the expansion in continued fractions of alm
Publicado em: 2006
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6. Processos estocásticos: difusão e crescimento
This thesis is dedicated to the study of stochastic processes related to diffusion and growth. We study normal and anomalous difusion described by the generalized Langevin equation. We show that the violation of the mixing condition induces violation in the ergodic hypothesis and in the uctuationdissipation theorem. The ballistic difusion and the random forc
Publicado em: 2006
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7. Comportamento de um autÃmato celular sem e com ruÃdo aleatÃrio
Elements of f0; : : : ;mgZd are called configurations. We work with cellular automata, which can be presented as FrD , where Fr is a random operator which acts on measures on the set of configurations and D is a deterministc operator which acts on configurations. Fr increases state of every point in ZZd with probability r >0 independently and D is a uniform
Publicado em: 2004
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8. ON THE MAXIMAL ERGODIC THEOREM
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9. Ergodic theorems along sequences and Hardy fields.
Let a(x) be a real function with a regular growth as x --> infinity. [The precise technical assumption is that a(x) belongs to a Hardy field.] We establish sufficient growth conditions on a(x) so that the sequence ([a(n)])(infinity)(n=1) is a good averaging sequence in L2 for the pointwise ergodic theorem. A sequence (an) of positive integers is a good avera