Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Barrera, Gerardo"'
In this manuscript, we study the stability of the origin for the multivariate geometric Brownian motion. More precisely, under suitable sufficient conditions, we construct a Lyapunov function such that the origin of the multivariate geometric Brownia
Externí odkaz:
http://arxiv.org/abs/2403.16765
Autor:
Barrera, Gerardo, Esquivel, Liliana
The present manuscript is devoted to the study of the convergence to equilibrium as the noise intensity $\varepsilon>0$ tends to zero for ergodic random systems out of equilibrium of the type \begin{align*} \mathrm{d} X^{\varepsilon}_t(x) = (\mathfra
Externí odkaz:
http://arxiv.org/abs/2402.15457
Publikováno v:
Acta Mathematica Hungarica 172, 170-186, (2024)
In this manuscript, we study the arrangements of the roots in the complex plane for the lacunary harmonic polynomials called harmonic trinomials. We provide necessary and sufficient conditions so that two general harmonic trinomials have the same set
Externí odkaz:
http://arxiv.org/abs/2307.01720
Autor:
Barrera, Gerardo, Högele, Michael A.
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023, Volume 33, Number 11, 113124
This article establishes cutoff stability also known as abrupt thermalization for generic multidimensional Hurwitz stable Ornstein-Uhlenbeck systems with (possibly degenerate) L\'evy noise at fixed noise intensity. The results are based on several er
Externí odkaz:
http://arxiv.org/abs/2306.11616
Publikováno v:
Journal of Dynamics and Differential Equations 2023
In this paper, we characterize the stability region for trinomials of the form $f(\zeta):=a\zeta ^n + b\zeta ^m +c$, $\zeta\in \mathbb{C}$, where $a$, $b$ and $c$ are non-zero complex numbers and $n,m\in \mathbb{N}$ with $n>m$. More precisely, we pro
Externí odkaz:
http://arxiv.org/abs/2304.09147
This article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein-Kantorovich-Rubinstein (WKR) distance for a viscous energy shell lattice model of turbulence with random energy injection. The system under consideration
Externí odkaz:
http://arxiv.org/abs/2302.13968
In this paper, we study an ordinary differential equation with a degenerate global attractor at the origin, to which we add a white noise with a small parameter that regulates its intensity. Under general conditions, for any fixed intensity, as time
Externí odkaz:
http://arxiv.org/abs/2209.11026
Autor:
Barrera, Gerardo, Lukkarinen, Jani
Publikováno v:
Annales de l'Institut Henri Poincar\'e (B) Probabilit\'es et Statistiques, 2023, Volume 59, Number 2, 933-982
In this manuscript, we provide a non-asymptotic process level control between the telegraph process and the Brownian motion with suitable diffusivity constant via a Wasserstein distance with quadratic average cost. In addition, we derive non-asymptot
Externí odkaz:
http://arxiv.org/abs/2201.00422
Publikováno v:
Journal of Mathematical Analysis and Applications 2022, Volume 514, Number 2, 126313
In this manuscript we study the counting problem for harmonic trinomials of the form $a\zeta^n+b\overline{\zeta}^m+c$, where $n,m\in \mathbb{N}$, $n>m$, and $a$, $b$ and $c$ are non-zero complex numbers. As a consequence, we obtain the Fundamental Th
Externí odkaz:
http://arxiv.org/abs/2112.06703
Publikováno v:
Extremes 2022, Volume 25, 567-594
In this manuscript, we study the limiting distribution for the joint law of the largest and the smallest singular values for random circulant matrices with generating sequence given by independent and identically distributed random elements satisfyin
Externí odkaz:
http://arxiv.org/abs/2109.02282