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On measures strongly log-concave on a subspace (Q6596229)

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scientific article; zbMATH DE number 7904827
Language Label Description Also known as
English
On measures strongly log-concave on a subspace
scientific article; zbMATH DE number 7904827

    Statements

    title
    On measures strongly log-concave on a subspace (English)
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    author
    Pierre Bizeul
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    publication date
    2 September 2024
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    review text
    In this paper, the author considers measures that satisfy a condition more general than the criterion for \(t\)-strongly log-concavity, namely, where the potential is curved only on a subspace of directions. Upper bounds are proven for the Poincaré constant and concentration function of such a measure, using a version of the stochastic localization process.
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    reviewed by
    Kinga Nagy
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    zbMATH Keywords
    isoperimetric inequality
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    Kannan-Lovász-Simonovits (KLS) conjecture
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    log-concave measure
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    spectral gap
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    Identifiers

    Mathematics Subject Classification ID
    60D05
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    60H30
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    52A23
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    zbMATH DE Number
    7904827
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    DOI
    10.1214/23-AIHP1363
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