Epidemic Models, Interacting Particle Systems, Percolation, Population Biology, Rumour Models, Spatial Stochastic Models, and Stochastic Simulations.
Lebensztayn, E.; Machado, F. P.; Mauricio Zuluaga. Nonhomogeneous random walks systems on Z.
Journal of Applied Probability, v. 47, p. 562-571, 2010.
Machado, F. P.; Kurtz, T. G.; Lebensztayn, E. ; Leichsenring, A. Limit theorems for an epidemic model on the complete graph.
Alea (Online), v. IV, p. 3, 2008.
Machado, F. P.; Popov, S. Branching random walk in random environment on trees.
Stochastic Processes and their Applications, v. 106, n. 1, p. 95-106, 2003.
Machado, F. P.; Popov, S.; Alves, O. The shape theorem for the frog model.
The Annals of Applied Probability, 2002.
Alves, O.; Machado, F. P.; Popov, S. Phase transition for the frog model.
Eletronic Journal of Probability, v. 7, p. 1-27, 2002.