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math.AP2026
Ornstein--Uhlenbeck semigroup on rooted trees
Sahiba Arora, Marjeta Kramar Fijavž, Delio Mugnolo +1
We study Ornstein--Uhlenbeck operators on rooted metric trees equipped with a Gaussian-type measure. Using form methods, we construct Dirichlet and Neumann realisations correspondi…
math.AP2026
Maximal inequalities and Riesz transforms for vector-valued magnetic Schrödinger operators
Davide Addona, Vincenzo Leone, Luca Lorenzi +2
We consider vector-valued magnetic Schrödinger operators with magnetic potential and electric potenti…
math.AP2026
Long-Time Stability Analysis for Stochastic Evolution Equations with Multiplicative Noise
Abdellatif Elgrou, Abdelaziz Rhandi, Jawad Salhi
In this paper, we study the long-time stability behavior of a class of linear stochastic evolution equations in a Hilbert space with multiplicative noise. Explicit sufficient condi…