Dellacherie, ClaudeDuarte, MauricioMartínez, ServetMartín, Jaime SanVandaele, Pierre2024-08-272024-08-272022-02Potential Analysis, Volume 56, Issue 2, Pages 227 - 265, February 20220926-2601https://repositorio.unab.cl/handle/ria/59551Indexación: Scopus.In this article we study stability properties of gO, the standard Green kernel for O an open regular set in ℝd. In d ≥ 3 we show that gOβ is again a Green kernel of a Markov Feller process, for any power β ∈ [1,d/(d − 2)). In dimension d = 2, we show the same result for gOβ, for any β ≥ 1 and for kernels exp(αgO),exp(αgO)−1, for α ∈ (0,2π), when O is an open Greenian regular set whose complement contains a ball. © 2021, Springer Nature B.V.enBrownian motionGreen potentialsMarkov processesAnimaAnimacióntionAtribución/Reconocimiento 4.0 Internacional CC BY 4.0 Deed10.1007/s11118-020-09883-z