
Resumo: This talk presents recent advances in understanding the coexistence of competing species on a class of random geometric graphs. Although originally motivated by biological models, our approach applies more broadly to systems characterized by spatial competition and interaction, including statistical physics and information dynamics. By integrating first-passage percolation with voter-type dynamics, we investigate the probabilistic conditions under which multiple agents can persist indefinitely. Employing techniques from stochastic geometry, moderate deviation theory, and shape theorems, we show that coexistence occurs with strictly positive probability.
site do grupo: https://sites.google.com/icmc.usp.br/analise-mat-fis-icmc/