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- W3107432012 abstract "We prove an almost constant lower bound of the isoperimetric coefficient in the KLS conjecture. The lower bound has the dimension dependency $d^{-o_d(1)}$. When the dimension is large enough, our lower bound is tighter than the previous best bound which has the dimension dependency $d^{-1/4}$. Improving the current best lower bound of the isoperimetric coefficient in the KLS conjecture has many implications, including improvements of the current best bounds in Bourgain's slicing conjecture and in the thin-shell conjecture, better concentration inequalities for Lipschitz functions of log-concave measures and better mixing time bounds for MCMC sampling algorithms on log-concave measures." @default.
- W3107432012 created "2020-12-07" @default.
- W3107432012 creator A5076089843 @default.
- W3107432012 date "2020-11-27" @default.
- W3107432012 modified "2023-10-16" @default.
- W3107432012 title "An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture" @default.
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- W3107432012 doi "https://doi.org/10.48550/arxiv.2011.13661" @default.
- W3107432012 hasPublicationYear "2020" @default.
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