Random interlacement models

• Grant number: 17/02022-2
• Support Opportunities: Regular Research Grants
• Duration: May 01, 2017 - April 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Serguei Popov
• Grantee: Serguei Popov
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated researchers: Caio Teodoro de Magalhães Alves ; Christophe Frédéric Gallesco ; Darcy Gabriel Augusto de Camargo Cunha ; Diego Fernando de Bernardini ; Marina Vachkovskaia

Abstract

We plan to study the model of random interlacements, in different dimensions. Besides considering the classical case of dimensions at least 3, we will also work with random interlacements in dimensions 1 and 2. (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)

COMETS, FRANCIS; POPOV, SERGUEI. Two-Dimensional Brownian Random Interlacements. POTENTIAL ANALYSIS, v. 53, n. 2, p. 727-771, AUG 2020. (17/02022-2)

DE BERNARDINI, DIEGO F.; GALLESCO, CHRISTOPHE; POPOV, SERGUEI. An Improved Decoupling Inequality for Random Interlacements. Journal of Statistical Physics, v. 177, n. 6, p. 1216-1239, DEC 2019. (17/02022-2, 14/14323-9, 17/10555-0, 17/19876-4)

DE BERNARDINI, DIEGO F.; GALLESCO, CHRISTOPHE; POPOV, SERGUEI. On uniform closeness of local times of Markov chains and i.i.d. sequences. Stochastic Processes and their Applications, v. 128, n. 10, p. 3221-3252, OCT 2018. (16/13646-4, 17/02022-2)