40 citations · 133 across the 21 of their papers we have counts for
16 papers · 1 filter
Isospectral Reductions of Non-negative Matrices
Alexandre Baraviera, Pedro Duarte, Longmei Shu +1
Isospectral reduction is an important tool for network/matrix analysis as it reduces the dimension of a matrix/network while preserving its eigenvalues and eigenvectors. The main c…
Entropy for -trees defined by transition matrices
Andressa Paola Cordeiro, Alexandre Tavares Baraviera, Alex Jenaro Becker
We study Markov tree-shifts given by transition matrices, one for each of its directions. We provide a method to characterize the complexity function for these tree-shifts,…
The Jacaranda tree is strongly aperiodic and has zero entropy
Alexandre Baraviera, Renaud Leplaideur
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 linea…
Approximating Lyapunov exponents and stationary measures
Alexandre Baraviera, Pedro Duarte
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 ap…
Ergodic optimization, zero temperature limits and the max-plus algebra
A. T. Baraviera, R. Leplaideur, A. O. Lopes
Lecture notes of a course at the Brazilian Mathematical Colloquium. We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in t…
A note on the dynamics of linear automorphisms of a measure convolution algebra
Alexandre Baraviera, Elismar R. Oliveira, Fagner B. Rodrigues
In this work we are going to study the dynamics of the linear automorphisms of a measure convolution algebra over a finite group, . In order to understand an classify th…