M. Fathi

activity

20132022

most citedA proof of the Caffarelli contraction theorem via entropic regularization

3 citations · 5 across the 6 of their papers we have counts for

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math.MG2022★ 1 cited

Stability estimates for the sharp spectral gap bound under a curvature-dimension condition

Max Fathi, Ivan Gentil, Jordan Serres

We study stability of the sharp spectral gap bounds for metric-measure spaces satisfying a curvature bound. Our main result, new even in the smooth setting, is a sharp quantitative…

math.MG2021

Stability of eigenvalues and observable diameter in RCD $(1, \infty)$ spaces

Jérôme Bertrand, Max Fathi

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 maxima…

Stability estimates for the sharp spectral gap bound under a curvature-dimension condition

Stability of eigenvalues and observable diameter in RCD(1,∞) spaces

Stability of eigenvalues and observable diameter in RCD $(1, \infty)$ spaces