Branching Random Walks and Interacting particle System in Random Environment.

• Grant number: 15/20110-0
• Support Opportunities: Scholarships abroad - Research
• Start date: June 01, 2016
• End date: May 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Cristian Favio Coletti
• Grantee: Cristian Favio Coletti
• Host Investigator: Fabio Zucca
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Santo André , SP, Brazil
• Institution abroad: Politecnico di Milano, Italy

Abstract

The first objective of this research project is to study the extinction probability and the main properties of critical parameters associated with branching random walks. We study these properties by means of an infinite dimensional generating function. In this project we address the following issues: (1) characterization of the set of fixed points (extinction probabilities) of the generating function of an irreducible branching random walks on discrete time and, (2) characterization of the global survival critical parameter for branching random walks in continuous time. We intend also to study the diffusion of an information in random graphs given by the cluster of percolation of independent site percolation model by means of suitable couplings with a branching random walk in order to prove survival or extinction of the information. (AU)

Scientific publications

(5)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)

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)

COLETTI, CRISTIAN F.; GAVA, RENATO; SCHUETZ, GUNTER M.. Central limit theorem and related results for the elephant random walk. Journal of Mathematical Physics, v. 58, n. 5, MAY 2017. (15/20110-0)

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)

BERTACCHI, DANIELA; COLETTI, CRISTIAN F.; ZUCCA, FABIO. Global survival of branching random walks and tree-like branching random walks. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, v. 14, n. 1, p. 381-402, 2017. (15/20110-0)