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Shape theorem for the contact process in random environment on groups with polynomial growth

Grant number: 19/19056-2
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): February 01, 2020
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal Investigator:Cristian Favio Coletti
Grantee:Lucas Roberto de Lima
Home Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Associated research grant:17/10555-0 - Stochastic modeling of interacting systems, AP.TEM
Associated scholarship(s):20/12868-9 - Limiting Shape for the Contact Process on Random Geometric Graphs, BE.EP.DR


The contact process is a stochastic model, which describes the spreads of an infection. When we consider the process defined in a graph, the vertices alternate between occupied (infected) and empty (healthy) states in continuous time. The process has been object of study and of great interest and relevance in the study of infection models. We propose to study the contact process in Cayley graphs with polynomial growth. We plan to investigate sufficient conditions under which a shape theorem can be obtained for the contact process in deterministic or random environment in this class of graphs. (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)
COLETTI, CRISTIAN F.; DE LIMA, LUCAS R.; GAVA, RENATO J.; LUIZ, DENIS A. Limit theorems for a random walk with memory perturbed by a dynamical system. Journal of Mathematical Physics, v. 61, n. 10 OCT 1 2020. Web of Science Citations: 0.

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