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math.PR2026
Topology of Percolation Clusters: Central Limit Theorems beyond the Lattice
Luciano H. L. de Araújo, Daniel Miranda Machado, Cristian F. Coletti
We prove central limit theorems (CLTs) for topological functionals of Bernoulli bond percolation on infinite graphs beyond the Euclidean lattice . For quasi-transit…
math.PR2025
The Maki-Thompson Model with Spontaneous Stifling on Symmetric Networks
Nancy Lopes Garcia, Denis Araujo Luiz, Daniel Miranda Machado
We investigate rumor spreading in a generalized Maki-Thompson model with spontaneous stifling, evolving on quasi-transitive networks. Individuals are either ignorants, spreaders, o…