32 citations · 146 across the 8 of their papers we have counts for
8 papers
Structure of trajectories of complex matrix eigenvalues in the Hermitian-non-Hermitian transition
O. Bohigas, J. X. De Carvalho, M. P. Pato
The statistical properties of trajectories of eigenvalues of Gaussian complex matrices whose Hermitian condition is progressively broken are investigated. It is shown how the order…
Deformed Gaussian Orthogonal Ensemble description of Small-World networks
J. X. de Carvalho, Sarika Jalan, M. S. Hussein
The study of spectral behavior of networks has gained enthusiasm over the last few years. In particular, Random Matrix Theory (RMT) concepts have proven to be useful. In discussing…
Deformations of the Tracy-Widom distribution
O. Bohigas, J. X. de Carvalho, M. P. Pato
In random matrix theory (RMT), the Tracy-Widom (TW) distribution describes the behavior of the largest eigenvalue. We consider here two models in which TW undergoes transformations…
Optimal network topologies for information transmission in active networks
M. S. Baptista, J. X. de Carvalho, M. S. Hussein
This work clarifies the relation between network circuit (topology) and behavior (information transmission and synchronization) in active networks, e.g. neural networks. As an appl…
The Invisible Quantum Barrier
J. X. de Carvalho, M. S. Hussein, Weibin Li
We construct the invisible quantum barrier which represents the phenomenon of quantum reflection using the available data. We use the Abel equation to invert the data. The resultin…
Disordered ensembles of random matrices
O. Bohigas, J. X. de Carvalho, M. P. Pato
It is shown that the families of generalized matrix ensembles recently considered which give rise to an orthogonal invariant stable Lévy ensemble can be generated by the simple pro…