Random walks and dependent percolation

• Grant number: 13/24928-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2014
• End date: April 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Marina Vachkovskaia
• Grantee: Caio Teodoro de Magalhães Alves
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 15/18930-0 - Decoupling in correlated percolation models, BE.EP.PD

Abstract

In this project I present the subjects in which i intend to work under professor Marina Vachkovskaia s supervision. These subjects cover recent research areas in Probability, such as dependent percolation models on Zd, and topics in random walks. An special emphasis is given to the random interlacements model, on which I worked in my doctorate thesis. We also intend to work on problems related to the random walk cover time on the discrete torus Zd/nZd, and controlled random walks.

Scientific publications

(5)

(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; RIBEIRO, RODRIGO; SANCHIS, REMY. Large Communities in a Scale-Free Network. Journal of Statistical Physics, v. 166, n. 1, p. 137-149, JAN 2017. (13/24928-2)

ALVES, C.; HILARIO, M. R.; DE LIMA, B. N. B.; VALESIN, D.. A Note on Truncated Long-Range Percolation with Heavy Tails on Oriented Graphs. Journal of Statistical Physics, v. 169, n. 5, p. 972-980, DEC 2017. (13/24928-2)

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. Diameter of PA random graphs with edge-step functions. RANDOM STRUCTURES & ALGORITHMS, v. 57, n. 3, MAY 2020. (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)