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math.PR2026
Markovian Lifts and Multifactor Approximations for Weighted Sub-fractional Brownian Motion
J. H. Ramirez-Gonzalez, Edison Cuba
We construct a Hilbert-space Markovian lift of weighted sub-fractional Brownian motion for , including the logarithmic case . A Laplace factorization represents the pro…
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…