Invariance under quasi-isometries of sub and supercritical behavior in Boolean percolation

• Grant number: 12/24086-9
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2013
• End date: January 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Cristian Favio Coletti
• Grantee: Filipe Biason Mussini
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The purpose of this project is to study a Boolean percolation model driven by a Poisson point process in n-dimensional hypersurfaces of. We propose as the main result that the student demonstrates the existence of phase transition in this model.

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)

COLETTI, CRISTIAN F.; MIRANDA, DANIEL; GRYNBERG, SEBASTIAN P.. Boolean Percolation on Doubling Graphs. Journal of Statistical Physics, v. 178, n. 3, DEC 2019. (12/24086-9, 09/52379-8)

COLETTI, CRISTIAN F.; MIRANDA, DANIEL; MUSSINI, FILIPE. Invariance Under Quasi-isometries of Subcritical and Supercritical Behavior in the Boolean Model of Percolation. Journal of Statistical Physics, v. 162, n. 3, p. 685-700, FEB 2016. (12/24086-9, 09/52379-8)