Decoupling in correlated percolation models

• Grant number: 15/18930-0
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: January 01, 2016
• End date: December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Marina Vachkovskaia
• Grantee: Caio Teodoro de Magalhães Alves
• Supervisor: Artem Sapozhnikov
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Max Planck Society, Leipzig, Germany
• Associated to the scholarship: 13/24928-2 - Random walks and dependent percolation, BP.PD

Abstract

In this project we present the (polynomially) correlated percolation models we would like to study and the methods we intend to employ to extract meaningful results about them. Our main goal will be the development of useful decoupling inequalities for each of these models. Among these models are the random interlecaments process, the cylinder percolation and the loop percolation.

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)

ALVES, CAIO; POPOV, SERGUEI. Conditional decoupling of random interlacements. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, v. 15, n. 2, p. 1027-1063, 2018. (15/18930-0, 13/24928-2)

ALVES, CAIO; RIBEIRO, RODRIGO; SANCHIS, REMY. LUSTERING IN PREFERENTIAL ATTACHMENT RANDOM GRAPHS WITH EDGE-STE. JOURNAL OF APPLIED PROBABILITY, v. 58, n. 4, p. 890-908, DEC 2021. (13/24928-2, 15/18930-0)

ALVES, CAIO; RIBEIRO, RODRIGO; SANCHIS, REMY. Diameter of PA random graphs with edge-step functions. RANDOM STRUCTURES & ALGORITHMS, v. 57, n. 3, MAY 2020. (15/18930-0, 13/24928-2)