Limit theorems and phase transition results for information propagation models on graphs

• Grant number: 16/11648-0
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2016
• End date: September 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal Investigator: Pablo Martin Rodriguez
• Grantee: Pablo Martin Rodriguez
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated researchers: Daniela Bertacchi ; Fabio Zucca

Abstract

We will study stochastic processes on graphs, percolation and random graph models, focusing on models inspired by biological phenomena. The project will be concentrated on generalizations of stochastic models for information diffusion (rumor, innovation), as well as on inhomogeneousrandom graphs. (AU)

Scientific publications

(14)

(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)

CABRERA CASADO, YOLANDA; CADAVID, PAULA; RODINO MONTOYA, MARY LUZ; RODRIGUEZ, PABLO M.. On the characterization of the space of derivations in evolution algebras. Annali di Matematica Pura ed Applicata, v. 200, n. 2, JUN 2020. (17/10555-0, 16/11648-0, 18/06925-0)

COLETTI, CRISTIAN F.; GAVA, RENATO; SCHUTZ, GUNTER M.. A strong invariance principle for the elephant random walk. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v. N/A, p. 8-pg., 2017-12-01. (15/20110-0, 16/11648-0)

CADAVID, PAULA; RODINO MONTOYA, MARY LUZ; RODRIGUEZ, PABLO M.. Characterization theorems for the spaces of derivations of evolution algebras associated to graphs. LINEAR & MULTILINEAR ALGEBRA, v. 68, n. 7, p. 1340-1354, JUL 2 2020. (16/11648-0, 17/19433-5, 17/10555-0)

GALLO, SANDRO; RODRIGUEZ, PABLO M.. FROG MODELS ON TREES THROUGH RENEWAL THEORY. JOURNAL OF APPLIED PROBABILITY, v. 55, n. 3, p. 887-899, SEP 2018. (16/11648-0, 17/10555-0, 15/09094-3)

GREJO, CAROLINA; RODRIGUEZ, PABLO M.. Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions. Journal of Mathematical Analysis and Applications, v. 480, n. 1, DEC 1 2019. (16/11648-0, 17/10555-0)

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)

COLETTI, CRISTIAN F.; GAVA, RENATO; SCHUTZ, GUNTER M.. A strong invariance principle for the elephant random walk. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, DEC 2017. (16/11648-0, 15/20110-0)

OLIVEIRA, K. B. E.; RODRIGUEZ, P. M.. Limit theorems for a stochastic model of adoption and abandonment innovation on homogeneously mixing populations. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v. 2020, n. 3, MAR 2020. (16/11648-0, 17/10555-0)

CADAVID, PAULA; RODINO MONTOYA, MARY LUZ; RODRIGUEZ, PABLO M.. On the isomorphisms between evolution algebras of graphs and random walks. LINEAR & MULTILINEAR ALGEBRA, v. 69, n. 10, JULY 2019. (16/11648-0, 17/10555-0)

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)

COLETTI, CRISTIAN F.; GAVA, RENATO J.; RODRIGUEZ, PABLO M.. On the existence of accessibility in a tree-indexed percolation model. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 492, p. 382-388, FEB 15 2018. (16/11648-0, 13/03898-8, 15/20110-0)

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

HIRTH PIMENTEL, CARLOS EDUARDO; RODRIGUEZ, PABLO M.; VALENCIA, LEON A.. A note on a stage-specific predator-prey stochastic model. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 553, SEP 1 2020. (16/11648-0, 17/10555-0)

RODRIGUEZ, PABLO M.; ROLDAN-CORREA, ALEJANDRO; ALEXANDER VALENCIA, LEON. Comment on "Nodal infection in Markovian susceptible-infected-susceptible and susceptible-infected-removed epidemics on networks are non-negatively correlated". PHYSICAL REVIEW E, v. 98, n. 2, p. 4-pg., 2018-08-03. (16/11648-0, 17/10555-0)