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- W4287079486 abstract "We study stability of the spectral gap and observable diameter for metricmeasure spaces satisfying the RCD(1, $infty$) condition. We show that if such a space has an almost maximal spectral gap, then it almost contains a Gaussian component, and the Laplacian has eigenvalues that are close to any integers, with dimension-free quantitative bounds. Under the additional assumption that the space admits a needle disintegration, we show that the spectral gap is almost maximal iff the observable diameter is almost maximal, again with quantitative dimension-free bounds." @default.
- W4287079486 created "2022-07-25" @default.
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- W4287079486 date "2021-07-12" @default.
- W4287079486 modified "2023-10-06" @default.
- W4287079486 title "Stability of eigenvalues and observable diameter in RCD$(1,infty)$ spaces" @default.
- W4287079486 hasPublicationYear "2021" @default.
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