Stochastic modeling of information difusion on interacting systems
Equilibrium and non-equilibrium stochastic evolutions in continuum
Context trees applied to the statistical modeling of neural spike trains
Abstract
The Probability and Stochastic Processes group, consolidated and working at the Statistics and Mathematics departments of USP, UFSCar, Unicamp and UFABC, has international visibility and recognition due to \textit {(i)} its frequent and relevant publications in high standard international journals, \textit {(ii)} sucessful organization of conferences that are on the agenda of the best researchers in the area, \textit {(iii)} well known ability to attract and train Brazilian and foreign students for the graduate programs which their researchers are associated to, \textit {(iv)} to be an attractor of young researchers in postdoctoral programs, and finally \textit {(v)} having a strong and long exchange with researchers from the best research centers of the world. The present proposal is a continuation of the successful Thematic Project of Stochastic Modeling of Interacting Systems, active between 2009 and 2015. Research activities for the next period will concentrate on central and contemporary topics of Probability Theory and Stochastic Processes and related areas. Among them, the study of the properties of random walks in graphs and interlacings; particle systems, percolation theory and their variations such as epidemic models and rumors; biological models such as mutation-selection and population dynamics, random-media processes, scale limits, and aging of disordered system dynamics and random networks. (AU)
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