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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.AP2025
Smoothing of operator semigroups under relatively bounded perturbations
Sahiba Arora, Jonathan Mui
We investigate a smoothing property for strongly-continuous operator semigroups, akin to ultracontractivity in parabolic evolution equations. Specifically, we establish the stabili…
math.AP2024
A universal example for quantitative semi-uniform stability
Sahiba Arora, Felix Schwenninger, Ingrid Vukusic +1
We characterise quantitative semi-uniform stability for -semigroups arising from port-Hamiltonian systems, complementing recent works on exponential and strong stability. With…