Thermalisation for small random perturbations of dynamical systems G Barrera, M Jara Annals of Applied Probability 30 (3), 1164-1208, 2020 | 26* | 2020 |
Abrupt convergence for stochastic small perturbations of one dimensional dynamical systems G Barrera, M Jara Journal of Statistical Physics 163 (1), 113-138, 2016 | 21 | 2016 |
Cut-off phenomenon for Ornstein-Uhlenbeck processes driven by Lévy processes G Barrera, JC Pardo Electronic Journal of Probability 25 (15), 1-33, 2020 | 18 | 2020 |
Abrupt convergence for a family of Ornstein-Uhlenbeck processes G Barrera Brazilian Journal of Probability and Statistics 32 (1), 188-199, 2018 | 15 | 2018 |
The cutoff phenomenon in total variation for nonlinear Langevin systems with small layered stable noise G Barrera, MA Högele, JC Pardo Electronic Journal of Probability 26 (119), 1-76, 2021 | 14 | 2021 |
Cutoff thermalization for Ornstein-Uhlenbeck systems with small Lévy noise in the Wasserstein distance G Barrera, MA Högele, JC Pardo Journal of Statistical Physics 184 (27), 2021 | 14 | 2021 |
The cutoff phenomenon in Wasserstein distance for nonlinear stable Langevin systems with small Lévy noise G Barrera, MA Högele, JC Pardo Journal of Dynamics and Differential Equations, 28, 2022 | 8 | 2022 |
The cutoff phenomenon for the stochastic heat and the wave equation subject to small Lévy noise G Barrera, MA Högele, JC Pardo Stochastics and Partial Differential Equations: Analysis and Computations, 2022 | 7 | 2022 |
Cutoff stability of multivariate geometric Brownian motion G Barrera, MA Högele, JC Pardo arXiv preprint arXiv:2207.01666, 2022 | 6* | 2022 |
Salem-Zygmund inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices G Barrera, P Manrique Boletín de la Sociedad Matemática Mexicana 28 (45), 2022 | 5* | 2022 |
On the number of roots for harmonic trinomials G Barrera, W Barrera, JP Navarrete Journal of Mathematical Analysis and Applications 514 (2), 126313, 2022 | 4 | 2022 |
The asymptotic distribution of the condition number for random circulant matrices G Barrera, P Manrique-Mirón Extremes, 2022 | 4 | 2022 |
Limit behavior of the invariant measure for Langevin dynamics G Barrera Probability and Mathematical Statistics, 2022 | 4 | 2022 |
A switch convergence for a small perturbation of a linear recurrence equation G Barrera, S Liu Brazilian Journal of Probability and Statistics 35 (2), 224-241, 2021 | 4 | 2021 |
The stability region for Schur stable trinomials with general complex coefficients G Barrera, W Barrera, JP Navarrete Journal of Dynamics and Differential Equations 2023, 2023 | 3 | 2023 |
Gradual convergence for Langevin dynamics on a degenerate potential G Barrera, C da Costa, M Jara arXiv preprint arXiv:2209.11026, 2022 | 3* | 2022 |
Cutoff phenomenon for the maximum of a sampling of Ornstein-Uhlenbeck processes G Barrera Statistics & Probability Letters 168 (108954), 2021 | 3 | 2021 |
Cutoff ergodicity bounds in Wasserstein distance for a viscous energy shell model with Lévy noise G Barrera, MA Högele, JC Pardo, I Pavlyukevich Journal of Statistical Physics 2024, 2023 | 2 | 2023 |
Ergodicity bounds for stable Ornstein-Uhlenbeck systems in Wasserstein distance with applications to cutoff stability G Barrera, MA Högele Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (113124), 2023 | 2 | 2023 |
Quantitative control of Wasserstein distance between Brownian motion and the Goldstein-Kac telegraph process G Barrera, J Lukkarinen Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 59 (2), 50, 2023 | 2 | 2023 |