17 citations · 72 across the 19 of their papers we have counts for
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math.PR2018★ 1 cited
Cut-off phenomenon for Ornstein-Uhlenbeck processes driven by Lévy processes
Gerardo Barrera, Juan Carlos Pardo
In this paper, we study the cut-off phenomenon under the total variation distance of -dimensional Ornstein-Uhlenbeck processes which are driven by Lévy processes. That is to say…
math.PR2018★ 4 cited
A switch convergence for a small perturbation of a linear recurrence equation
Gerardo Barrera, Shuo Liu
In this article we study a small random perturbation of a linear recurrence equation. If all the roots of its corresponding characteristic equation have modulus strictly less than…
math.PR2018
Zero-free neighborhood around the unit circle for Kac polynomials
Gerardo Barrera, Paulo Manrique
In this paper, we study how the roots of the so-called Kac polynomial are concentrating to the unit circle when its coefficients of are in…