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math.PR2024
Speed of Convergence and Moderate Deviations of FPP on Random Geometric Graphs
Lucas R. de Lima, Daniel Valesin
This study delves into first-passage percolation on random geometric graphs in the supercritical regime, where the graphs exhibit a unique infinite connected component. We investig…
math.PR2024★ 1 cited
Asymptotic Shape of Subadditive Processes on Groups and on Random Geometric Graphs
Lucas R. de Lima
This doctoral thesis undertakes an in-depth exploration of limiting shape theorems across diverse mathematical structures, with a specific focus on subadditive processes within fin…