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math.PR2026
Heat content and spectrum for subordinated sub-Laplacians
Maria Gordina, Liangbing Luo, Andrea Pinamonti +1
We study heat content and spectral properties of subordinated sub-Laplacians on arbitrary Carnot groups. We consider restrictions of such operators to bounded open sets with zero D…
math.PR2025
Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups
Maria Gordina, Liangbing Luo
We construct a family of infinite-dimensional reduced Heisenberg groups which can be viewed as infinite-dimensional homogeneous spaces. Such a space is an analogue of finite-dimens…
math.PR2024★ 2 cited
Non-Markovian maximal couplings and a vertical reflection principle on a class of sub-Riemannian manifolds
Liangbing Luo, Robert W. Neel
We develop an approach to constructing non-Markovian, non-co-adapted couplings for sub-Riemannian Brownian motions in sub-Riemannian manifolds with large symmetry groups by treatin…