40 citations · 133 across the 21 of their papers we have counts for
22 papers
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…
Joint measurability meets Birkhoff-von Neumann's theorem
Leonardo Guerini, Alexandre Baraviera
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 extrapol…
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…
Hydrodynamic limit of quantum random walks
Alexandre Baraviera, Tertuliano Franco, Adriana Neumann
We present a proof of the hydrodynamic limit of independent quantum random walks evolving on Z.