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arXiv · 2103.11546

Surface measures and related functional inequalities on configuration spaces

Christian Houdré·Nicolas Privault
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Abstract

Using finite difference operators, we define a notion of boundary and surface measure for configuration sets under Poisson measures. A Margulis-Russo type identity and a co-area formula are stated with applications to deviation inequalities and functional inequalities, and bounds are obtained on the associated isoperimetric constants.

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Christian Houdré, Nicolas Privault. 2021-03-22. Surface measures and related functional inequalities on configuration spaces. https://arxiv.org/abs/2103.11546

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