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20202026
most citedLimit theorems for a random walk with memory perturbed by a dynamical system

1 citations · 1 across the 5 of their papers we have counts for

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math.PR2026

Extinction and Survival for a Generalized Contact Process with Deterministic Cures

Nancy L. Garcia, Denis A. Luiz, Daniel M. Machado

We study a generalized contact process on \(\mathbb{Z}^d\) parameterized by an infection rate \(λ\) and a resetting probability \(p \in [0,1]\), modeling deterministic cure times.…

math.PR2026

Extinction, Survival and Fluctuations for the Spatial Maki--Thompson Model on Infinite Graphs

Luciano Henrique Lacerda de Araújo, Daniel Miranda Machado, Cristian Favio Coletti +1

We study the spatial Maki--Thompson rumor model on infinite, connected graphs of bounded degree. Spreaders transmit the rumor to ignorant neighbors but become stiflers upon contact…