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Stochastic modeling of interacting systems

Grant number: 17/10555-0
Support type:Research Projects - Thematic Grants
Duration: February 01, 2018 - January 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Fabio Prates Machado
Grantee:Fabio Prates Machado
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo, SP, Brazil
Co-Principal Investigators:Anatoli Iambartsev ; Luiz Renato Gonçalves Fontes ; Marina Vachkovskaia ; Serguei Popov ; Vladimir Belitsky
Assoc. researchers:Christophe Frédéric Gallesco ; Cristian Favio Coletti ; Diego Fernando de Bernardini ; Eduardo Jordao Neves ; Élcio Lebensztayn ; Nancy Lopes Garcia ; Pablo Martin Rodriguez ; Renato Jacob Gava
Associated grant(s):19/07192-9 - Applications of large deviation theory of Markov Processes: imitation of big fluctuations in physical models, AV.EXT
19/04535-2 - Covariate enabled variable length Markov Chains, AV.EXT
18/17036-1 - Random walks and growth models with self-interactions, AV.EXT
+ associated grants 18/07826-5 - Hydrodynamic limits of coalescent processes and minimal spanning trees with applications in mathematical biology, AV.EXT
18/07857-8 - Geometry of Laplacian growth models, AP.R
18/08605-2 - Stochastic equations for continuum particle systems, AV.EXT
17/20482-0 - Large deviations principle for stochastic processes, AV.EXT - associated grants
Associated scholarship(s):19/02226-2 - Scaling limit of condensed zero range processes, BP.PD
18/14952-7 - Information content of self-similar structures, BP.PD
18/16184-7 - Random walk systems on graphs, BP.IC
+ associated scholarships 18/04764-9 - Random walks with unbounded memory, BE.PQ
17/25469-2 - Bayesian inference for signal segmentation in dyed textile images, BP.DR
18/05430-7 - Colonization and collapse models, BP.IC - associated scholarships


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)

Scientific publications (6)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BELITSKY, V.; SCHUETZ, G. M. RNA Polymerase interactions and elongation rate. Journal of Theoretical Biology, v. 462, p. 370-380, FEB 7 2019. Web of Science Citations: 1.
BELITSKY, V; SCHUETZ, G. M. Stationary RNA polymerase fluctuations during transcription elongation. Physical Review E, v. 99, n. 1 JAN 7 2019. Web of Science Citations: 0.
PECHERSKY, E. A.; PIROGOV, S. A.; SCHUETZ, G. M.; VLADIMIROV, A. A.; YAMBARTSEV, A. A. Large Fluctuations in Two-Level Systems With Stimulated Emission. THEORETICAL AND MATHEMATICAL PHYSICS, v. 198, n. 1, p. 118-128, JAN 2019. Web of Science Citations: 0.
MACHADO, FABIO P.; ROLDAN-CORREA, ALEJANDRO; JUNIOR, VALDIVINO V. Colonization and Collapse on Homogeneous Trees. Journal of Statistical Physics, v. 173, n. 5, p. 1386-1407, DEC 2018. Web of Science Citations: 0.
VVEDENSKAYA, N. D.; LOGACHOV, A. V.; SUHOV, YU. M.; YAMBARTSEV, A. A. A Local Large Deviation Principle for Inhomogeneous Birth-Death Processes. PROBLEMS OF INFORMATION TRANSMISSION, v. 54, n. 3, p. 263-280, JUL 2018. Web of Science Citations: 0.

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