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20242026
most citedSubmanifolds with boundary and Stokes' Theorem in Heisenberg groups

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math.FA2026

A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups

Marco Di Marco, Sebastiano Don, Davide Vittone

We prove a formula for the total variation of SBV functions in sub-Riemannian Heisenberg groups arising as the limit of certain BMO-type functionals.

math.MG2026

Quantization of measures in Carnot groups

Marco Di Marco, Mikaela Iacobelli

We study optimal quantization of probability measures on Carnot groups equipped with a left-invariant homogeneous distance. We prove two main results. First, we establish a Zador-t…