Gamma-convergence of Cheeger energies with respect to increasing distances

Danka Lučić; Enrico Pasqualetto

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arXiv · 2102.06276

Gamma-convergence of Cheeger energies with respect to increasing distances

Danka Lučić·Enrico Pasqualetto

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Abstract

We prove a $\Gamma$-convergence result for Cheeger energies along sequences of metric measure spaces, where the measure space is kept fixed, while distances are monotonically converging from below to the limit one. As a consequence, we show that the infinitesimal Hilbertianity condition is stable under this kind of convergence of metric measure spaces.

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BibTeX RIS

Danka Lučić, Enrico Pasqualetto. 2021-02-11. Gamma-convergence of Cheeger energies with respect to increasing distances. https://arxiv.org/abs/2102.06276

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