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math.PR2026
Extinction and Survival in an Interval-Activation Frog Model on \mathbb{Z} with Random Survival Parameters and Symmetric Random Walks
Gustavo Oshiro de Carvalho, Fábio Prates Machado, José Hermenegildo Ramírez-González
We study an interval-activation frog model on \(\mathbb Z\) with i.i.d.\ initial numbers of frogs \((η_x)_{x\in\mathbb Z}\), satisfying \(0<\mathbb{E}[η_0]<\infty\). Frogs at the o…
math.PR2024
Weighted Sub-fractional Brownian Motion: Covariance Structure, Path Properties and Euler Approximation
J. H. Ramirez-Gonzalez
Weighted sub-fractional Brownian motion was introduced as a centered Gaussian process with covariance $$ Q_{a,b}(s,t)=\frac{1}{1-b}\int_0^{s\wedge t}u^a[(s-u)^b+(t-u)^b-(s+t-2u)^b]…
math.PR2023
Occupation time fluctuations of an age-dependent critical binary branching particle system
José Alfredo López-Mimbela, Antonio Murillo-Salas, José Hermenegildo Ramírez-González
We study the limit fluctuations of the rescaled occupation time process of a branching particle system in , where the particles are subject to symmetric -stable mi…