Stochastic chains with unbounded memory and random walks on graphs

• Grant number: 19/23439-4
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2020
• End date: January 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Alexsandro Giacomo Grimbert Gallo
• Grantee: Alexsandro Giacomo Grimbert Gallo
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The project splits essentially into the study of two random objects. 1- Concerning stochastic chains with unbounded memory, we will continue the researches initiated since my PhD, increasing some new topics of interest. In a generic way, we want to obtain global characterisations of the measures (stationary or not), starting from the knowledge of local rules of interaction. We will focus on concentration inequalities and recurrence theory. 2- Concerning random walks on graphs, we will study the phase transition recurrence/transience in the frog models with random life time, on non-regular or even random trees. Another important question will be to study some properties of the visited sub-tree. This project is about discrete mathematics, it involves several areas related to probability theory (percolation, ergodic theory, statistical physics, statistical inference...). (AU)

Scientific publications

(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)

GALLO, SANDRO; PENA, CAIO. Critical Parameter of the Frog Model on Homogeneous Trees with Geometric Lifetime. Journal of Statistical Physics, v. 190, n. 2, p. 15-pg., 2023-02-01. (19/23439-4)

ABADI, MIGUEL; AMORIM, VITOR; GALLO, SANDRO. Potential Well in Poincare Recurrence. Entropy, v. 23, n. 3, MAR 2021. (19/23439-4)