Zobrazeno 1 - 10
of 260
pro vyhledávání: '"Baraviera, A."'
Metric mean dimension is a geometric invariant of dynamical systems with infinite topological entropy. We relate this concept with the fractal structure of the phase space and the H\"older regularity of the map. Afterwards we improve our general esti
Externí odkaz:
http://arxiv.org/abs/2407.15774
Let $f: M\rightarrow M$ be a continuous map on a compact metric space $M$ equipped with a fixed metric $d$, and let $\tau$ be the topology on $M$ induced by $d$. First, we will establish some fundamental properties of the mean Hausdorff dimension. Fu
Externí odkaz:
http://arxiv.org/abs/2407.08548
Isospectral reduction is an important tool for network/matrix analysis as it reduces the dimension of a matrix/network while preserving all its eigenvalues and eigenvectors. The main contribution of this manuscript is a proposed algorithmic scheme to
Externí odkaz:
http://arxiv.org/abs/2308.00063
In this work we consider Markov tree-shifts given by $k$ transition matrices, one for each of its $k$ directions. We analyse some topological properties introduced by arXiv:1509.01355 in order to answer some of the questions raised by those authors.
Externí odkaz:
http://arxiv.org/abs/2307.05850
We prove that the Jacaranda tree obtained as a fixed point for a substreetution in previous work of the authors is strongly aperiodic and that the number of patches increases linearly with respect to the size of the patch. As a consequence we get tha
Externí odkaz:
http://arxiv.org/abs/2304.08039
Autor:
Baraviera, A., Leplaideur, R.
We define a notion of substitution on colored binary trees that we call substreetution. We show that a fixed point by a substreetution may be (or not) almost periodic, thus the closure of the orbit under $\mathbb{F}_2^+$-action may (or not) be minima
Externí odkaz:
http://arxiv.org/abs/2112.05242
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Quantum measurements can be interpreted as a generalisation of probability vectors, in which non-negative real numbers are replaced by positive semi-definite operators. We extrapolate this analogy to define a generalisation of doubly stochastic matri
Externí odkaz:
http://arxiv.org/abs/1809.07366
Autor:
Baraviera, Alexandre, Duarte, Pedro
We give a new proof of E. Le Page's theorem on the Holder continuity of the first Lyapunov exponent in the class of irreducible Bernoulli cocycles. This suggests an algorithm to approximate the first Lyapunov exponent, as well as the stationary measu
Externí odkaz:
http://arxiv.org/abs/1704.01354
Akademický článek
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