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pro vyhledávání: '"Silas L. Carvalho"'
Autor:
Silas L. Carvalho, Alexander Condori
Publikováno v:
Mathematische Nachrichten. 296:980-995
Publikováno v:
Operators and Matrices. :827-857
Autor:
Alexander Condori, Silas L. Carvalho
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 53:479-500
We investigate in this work some situations where it is possible to estimate or determine the upper and the lower q-generalized fractal dimensions $$D^{\pm }_{\mu }(q)$$ , $$q\in {\mathbb {R}}$$ , of invariant measures associated with continuous tran
Autor:
Silas L. Carvalho, Alexander Condori
Publikováno v:
Forum Mathematicum. 33:435-450
In this paper, we show that, for topological dynamical systems with a dense set (in the weak topology) of periodic measures, a typical (in Baire’s sense) invariant measure has, for each q > 0 {q>0} , zero lower q-generalized fractal dimension. This
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. 39:421-431
Publikováno v:
Brazilian Journal of Physics. 52
Publikováno v:
Proceedings of the American Mathematical Society. 148:2509-2523
Publikováno v:
Ergodic Theory and Dynamical Systems. 40:3296-3309
We study sets of measure-preserving transformations on Lebesgue spaces with continuous measures taking into account extreme scales of variations of weak mixing. It is shown that the generic dynamical behaviour depends on subsequences of time going to
Publikováno v:
Journal of the Australian Mathematical Society. 108:226-244
By using methods of subordinacy theory, we study packing continuity properties of spectral measures of discrete one-dimensional Schrödinger operators acting on the whole line. Then we apply these methods to Sturmian operators with rotation numbers o
This book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature. It starts with classic topics such as Wiener lemma, Strichartz inequality, and the basics of fractal dimensions of measures