"In big things it's enough to just have the will"
Latin Proverb
Tiago Pereira
Ph.D.
Assistant Professor
Center for Mathematics, Computation and Cognition
UFABC
Scientific Interests
A central theme in my research is the collective behavior on complex networks. I have tried to contribute to this
problem using techniques of theoretical physics and applied
analysis. I also have interest in the theory of dynamical systems,
random matrix theory and quantum mechanics. In
particular, spectral properties of certain normal and hermitian
operators.
Current Research
Recent experiments have shown that various levels of
synchronization are needed to avoid pathological activities and enable
a system to have flexibility and robustness. Despite the growing
interest in network dynamics, the present state of knowledge cannot
explain the various levels of synchronization observed in real-life
complex systems.
The fundamental goals of this research are to examine various levels of
synchronization in weighted and asymmetric heterogeneous networks such
as the formation of clusters of synchronized elements,
and the origin of re-emergent patterns leading to synchronization
waves. Our results suggest that scale-free networks may have evolved to
complement various levels of synchronization.
Recent Papers
Tiago Pereira
Hub Synchronization in Scale-free Networks
Physical Review E 82, 036201 (2010)
Arxiv paper
T. Pereira and D.H.U. Marchetti
Quantum States Allowing Minimum Uncertainty
Product of phi and Lz
Progress in Theoretical Physics 122, 1137 (2009)
arXiv:0805.1331
[math-ph]
A.M. Venezianni, T. Pereira and D.H.U. Marchetti
Conformal Deformation of Equilibrium Measures of Normal Random Ensembles
arXiv:0909.0978v1 [math.PR]