Stochastic modeling of information difusion on interacting systems
Equilibrium and non-equilibrium stochastic evolutions in continuum
Abstract
The present project originates in the previous 'projetos temáticos': Stochastic modeling of interacting systems (October 2004 to October 2008), Dynamical phase transitions in evolutionary systems, Large deviations, diffusion and localization (June 1991 to August 1994) and Critical phenomena in evolutionary processes and equilibrium systems (in two editions, from August 1995 to August 1998, and from July 2000 to June 2004). They all were highly succesful and triggered a remarkable increase in the level of activity, prestige and recognition of the particle-systems group of USP and UNICAMP. The research activities for the next five-year period will be focused on central topics of the theory of probability, statistical mechanics and related areas. Among them we mention: Properties of various stochastic processes and fields, percolation, interacting particle systems, convergence to equilibrium, random networks, processes in random environment, disordered systems, stochastic models in finance and risk assessment, scaling limit and aging of dynamics of disordered systems, stochastic clusters, quantum gravitation, gene expression systems, statistical genomics. As the previous 'projetos temáticos', the present project has three well defined goals: 1) to foster and strengthen the collaboration among researchers in the areas of project; 2) to promote contact with researchers of related areas or areas that may benefit from the expertise of the project team, and 3) to actively participate in the formation of new researchers. To achieve these goals, besides the specific research activities the following activities are proposed: a) scientific interchanges with Brazilian and foreign institutions; b) weekly seminars, with the participation of members of the project team and invited researchers; c) scientific meetings, and d) formation and advice of undergraduate students (orientação científica), master and PhD. students, and supervision of post-doctoral fellows. (AU)
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