CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Lucas R. de Lima is a postdoctoral researcher at the Institute of Mathematics and Statistics at the University of São Paulo, Brazil. His research focuses on probability, interacting systems, percolation, and their properties in algebraic and random structures. He was a guest researcher at the University of Groningen, Netherlands (2022). He holds a PhD (2024), a master's degree (2020), and a bachelor's degree (2018) in Mathematics from the Federal University of ABC, as well as a bachelor's degree in Science and Technology (2017) from the same university. He also attended two semesters as an exchange student in the BSc in Mathematics at the Freie Universität Berlin (CsF/CAPES, 2014-2016). (Source: Lattes Curriculum)
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Population growth models subject to catastrophes and dispersal strategies play a crucial role in understanding population dynamics in the face of adversity and subsequent adaptability. Catastrophes, such as natural disasters or sudden events, can significantly impact population size. On the other hand, dispersal to new areas can facilitate the establishment of new communities, representin…
Subadditive processes describe a wide class of random growth models, with the first-passage percolation (FPP) being a significant example. Asymptotic Shape Theorems often relies on the application of subadditive ergodic theorems in conjunction with a group action that preserves the measure. With this motivation, in this work, we explore a generalization of this approach, where the underly…
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…
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