4 papers
-cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials
Benny Avelin, Gerardo Barrera
In this manuscript, we establish the existence/non-existence of the cut-off phenomenon for the Langevin--Kolmogorov random dynamics with monomial convex potentials, possible singul…
Egerváry's theorems for harmonic trinomials
Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete
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 sufficien…
Ergodicity bounds for stable Ornstein-Uhlenbeck systems in Wasserstein distance with applications to cutoff stability
Gerardo Barrera, Michael A. Högele
This article establishes cutoff stability also known as abrupt thermalization for generic multidimensional Hurwitz stable Ornstein-Uhlenbeck systems with (possibly degenerate) Lévy…
The stability region for Schur stable trinomials with general complex coefficients
Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete
In this paper, we characterize the stability region for trinomials of the form , , where , and are non-zero complex numbers and $n…