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20212026
most citedNon-Markovian maximal couplings and a vertical reflection principle on a class of sub-Riemannian manifolds

2 citations · 2 across the 6 of their papers we have counts for

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math.AP2026

Approximation of harmonic functions on metric measure spaces of controlled geometry via discrete graphs

Almaz Butaev, Liangbing Luo, Nageswari Shanmugalingam

Given a complete doubling metric measure space that supports a -Poincaré inequality, we approximate harmonic functions on a bounded domain with a prescribed Newton-Sobol…

math.AP2023

Logarithmic Sobolev inequalities on homogeneous spaces

Maria Gordina, Liangbing Luo

We consider sub-Riemannian manifolds which are homogeneous spaces equipped with a natural sub-Riemannian structure induced by a transitive action by a Lie group. In such a setting,…

math.AP2021

Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups

Maria Gordina, Liangbing Luo

We study logarithmic Sobolev inequalities with respect to a heat kernel measure on finite-dimensional and infinite-dimensional Heisenberg groups. Such a group is the simplest non-t…