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math.PR2026
Absolute Continuity of Monotone Aggregations under Positive Regression Dependence
Ben Goldys, Max Nendel
In this paper, we provide a sufficient condition for the absolute continuity of one-dimensional push-forwards of dependent random vectors. Suppose that has an absolutely contin…
math.PR2025
The stochastic Landau--Lifshitz--Baryakhtar equation: Global solution and invariant measure
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
The Landau--Lifshitz--Baryakhtar (LLBar) equation perturbed by both additive and multiplicative noises is a system of fourth order stochastic PDEs which models the evolution of mag…
math.PR2024
Differentiability of transition semigroup of generalized Ornstein-Uhlenbeck process: a probabilistic approach
Ben Goldys, Szymon Peszat
Let , be the transition semigroup on the space of bounded measurable functions on a Banach space , of the Markov family defined by the…