CV Lattes
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Ministério da Educação (Brasil). Universidade Federal do ABC (UFABC). Centro de Matemática, Computação e Cognição (CMCC) (Institutional affiliation for the last research proposal) Birthplace: Brazil
Lucas R. de Lima is a PhD student at the Federal University of ABC, Brazil. He received his master (2020) and bachelor (2018) degrees in Mathematics from the Federal University of ABC and a bachelor degree in Science and Technology (2017) from the same university. He attended two semesters as an exchange student in the BSc in Mathematics at the Freie Universität Berlin (CsF / CAPES, 2014-2016). His research interests are concentrated in probability, interacting systems, percolation, and their properties on algebraic and random structures. (Source: Lattes Curriculum)
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…
The contact process on a graph is a model for the spread of an infection where the vertices can alternate between the infected (or occupied) and healthy (or vacant) states. We consider the process defined on the infinite connected component of a random geometric graph in the d-dimensional Euclidean space. A healthy vertex becomes infected at a rate proportional to the number of infected n…
| 1 / 1 | Completed scholarships in Brazil |
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(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. (19/19056-2, 17/10555-0, 18/04764-9)