Asymptotic behavior of stochastic processes on graphs and applications

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

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. (15/03868-7)

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. (12/22185-0, 13/03898-8, 15/03868-7)

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. (15/07463-1, 12/25219-2, 16/11648-0, 15/03868-7, 16/25682-5)

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. (16/11648-0, 15/03868-7)

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. (13/03898-8, 15/03868-7)

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. (16/11648-0, 15/03868-7, 17/10555-0)