Asymptotic behavior of stochastic processes on graphs and applications

• Grant number: 15/03868-7
• Support type: Scholarships abroad - Research
• Effective date (Start): September 01, 2015
• Effective date (End): August 07, 2016
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal researcher: Pablo Martin Rodriguez
• Grantee: Pablo Martin Rodriguez
• Host: Francis Comets
• Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Research place: Université Paris Diderot - Paris 7, France

Abstract

We will study special stochastic processes on graphs. The considered processes are inspired by biological questions or appear as a natural extension of well-known models from the scientific literature. The research activities will focus on studying the asymptotic behavior of such processes. (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)

BERTACCHI, DANIELA; RODRIGUEZ, PABLO M.; ZUCCA, FABIO. Galton-Watson processes in varying environment and accessibility percolation. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, v. 34, n. 3, p. 613-628, AUG 2020. Web of Science Citations: 0.

CADAVID, PAULA; RODINO MONTOYA, MARY LUZ; RODRIGUEZ, PABLO M. The connection between evolution algebras, random walks and graphs. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 19, n. 2 FEB 2020. Web of Science Citations: 3.

DE ARRUDA, GUILHERME FERRAZ; RODRIGUES, FRANCISCO APARECIDO; RODRIGUEZ, PABLO MARTIN; COZZO, EMANUELE; MORENO, YAMIR. A general Markov chain approach for disease and rumour spreading in complex networks. JOURNAL OF COMPLEX NETWORKS, v. 6, n. 2, p. 215-242, APR 2018. Web of Science Citations: 5.

KANG, MIHYUN; PACHON, ANGELICA; RODRIGUEZ, PABLO M. Evolution of a Modified Binomial Random Graph by Agglomeration. Journal of Statistical Physics, v. 170, n. 3, p. 509-535, FEB 2018. Web of Science Citations: 0.

AGLIARI, ELENA; PACHON, ANGELICA; RODRIGUEZ, PABLO M.; TAVANI, FLAVIA. Phase Transition for the Maki-Thompson Rumour Model on a Small-World Network. Journal of Statistical Physics, v. 169, n. 4, p. 846-875, NOV 2017. Web of Science Citations: 2.

COLETTI, CRISTIAN F.; DE OLIVEIRA, KARINA B. E.; RODRIGUEZ, PABLO M. A STOCHASTIC TWO-STAGE INNOVATION DIFFUSION MODEL ON A LATTICE. JOURNAL OF APPLIED PROBABILITY, v. 53, n. 4, p. 1019-1030, DEC 2016. Web of Science Citations: 0.