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    Variance of Lipschitz Functions and an Isoperimetric Problem for a Class of Product Measures

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    0795-015.pdf (176.9Kb)
    Date
    1995-07-10
    Author
    Bobkov, S. G.
    Houdré, Christian
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    Abstract
    The maximal variance of Lipschitz functions (with respect to the \ell_1-distance) of independent random vectors is found. This is then used to solve the isoperimetric problem, uniformly in the class of product probability measures with given variance.
    URI
    http://hdl.handle.net/1853/31279
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    • School of Mathematics Faculty Publications [119]

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