Serguei Popov

• Abstract

  During the visit of Mikhail Menshikov to Brazil in 2019, he is intending to collaborate with Serguei Popov, Marina Vachkovskaia, Christophe Gallesco (UNICAMP), Vladimir Belitsky (USP), and possibly other researchers from the probability groups of IME/USP and IMECC/UNICAMP. (AU)

  Random walks and growth models with self-interactions, AV.EXT

• 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 res…

  Stochastic modeling of interacting systems, AP.TEM

• Abstract

  We plan to study the model of random interlacements, in different dimensions. Besides considering the classical case of dimensions at least 3, we will also work with random interlacements in dimensions 1 and 2. (AU)

  Random interlacement models, AP.R

(Only some records are available in English at this moment)

• Abstract

  Our research intends to investigate some contemporary models in Probability Theory and Stochastic Processes, in particular spacial models with correlations that decay slowly with distance including continuum percolation models and random interlacements. In continuum percolation, we consider problems about planar Boolean models with defects that are not euclidean balls, like elipses model …

  Percolation and random interlacements, BP.PD

• Abstract

  A simple random walk on a graph is a sequence of movements from a vertex to an adjacent vertex in such that each step is chosen uniformly randomly distributed across the neighborhood of the current vertex. The cover time of a random walk is the first moment where each vertex of the graph was visited. We are interested on the expected time for the cover time of specific families of graphs.…

  Cover times of random walks on graphs, BP.IC

• Abstract

  The project is focused on the study of bond percolation on causal triangulations (CTs) or Lorentzian random graph and phase transition of spin system coupled to CTs. From a physical point of view it is interesting to study various models of gravity-matter, such as the Ising and Potts models coupled to CTs. Based in the relation between percolation and phase transition of spin systems, th…

  Percolation and phase transition of spin systems on Lorentzian random graphs, BP.PD

(Only some records are available in English at this moment)

• Abstract

  The main goal of this research project is to work with the problem of random labelings on graphs, conditioned to have one or two peaks (i.e. local maximums). More specifically working on the following conjecture: let K_1 and K_2 be respectively the highest and second highest peak of a random labeling on the two dimensional torus with N sites conditioned to have exactly two peaks. Then i…

  Peaks of random labelings on graphs, BE.EP.DD

• Abstract

  The project is focused on the study of phenomenon of phase transition in the context of percolation and of spin systems on random triangulations. From a physical point of view it is interesting to study these models because one can interpret these models as systems of gravity-matter. Unlike the classical models, here the environment in which the percolation and spin systems occurs is itse…

  Phase transition and critical phenomena in two-dimensional discrete quantum gravity, BE.EP.PD

• Abstract

  We plan to study random walk and other random systems on graphs. The first model we consider is a random walk on discrete torus, where we intend to study the cover time, i.e., the moment when all the sites as visited at least once. We are interested also in random walks that interact with the mass center of the trajectory, as well as in the asymptotic behavior of the mass center itself. W…

  Random walks and other stochastic systems on graphs, BE.PQ