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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.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…