"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 network 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

A.M. Venezianni, T. Pereira and D.H.U. Marchetti

Conformal Deformation of Equilibrium Measures in
Normal Random Ensembles

Jour.
Phys. A: Math. Theor. 44,
075202 (2011)

*
arXiv:0909.0978v1
[math.PR]*
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]