BARATA, João Carlos Alves
Mathematical problems in Theoretical Physics, in areas such as Quantum Field Theory, Quantum Mechanics and Classical Mechanics.
MALTA, Coraci Pereira
1) Use of parameter dependent non-linear delay-differential equations to describe the behavior of the system as a function of parameters. Stability, bifurcations, chaos. 2) Use of non-linear methods to analyze time series corresponding to biological signals (electroencephalograms, electrocardiograms, etc).
MARCHETTI, Domingos Humberto Urbano
Models of statistical mechanics, disorganized systems, Lee-Yang zeros, renormalization groups, dynamics of Lee-Yang zeros, dynamics in hierarchical models, partial differential equations of evolution, Mayer series via differential equations, dimmers – vertices and pfaffians, renormalization group dynamics of fermions, random matrices, sparse Jacobi matrices, Hausdovff dimension, Fouriev dimension of spectral measures, dynamics of conformal mapping, conformal invariance, and universality.