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arXiv 2102.06276math.MGmath.APmath.FA
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Cheeger能量随距离增加的Gamma收敛

Gamma-convergence of Cheeger energies with respect to increasing distances

Danka Lučić, Enrico Pasqualetto

摘要:

证明了当距离从下到极限单调收敛时,沿度量测度空间序列的Cheeger能量的$Γ$ -收敛结果,其中测度空间保持不变.由此证明了在这种度量测度空间的收敛下,无穷小Hilbert性条件是稳定的。

英文摘要:

We prove a $Γ$-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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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