Isoperimetric and related bounds on configuration spaces

Christian Houdré; Nicolas Privault

doi:10.1016/j.spl.2008.02.002

Isoperimetric and related bounds on configuration spaces

Christian Houdré
, Nicolas Privault

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

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 bounds on the probabilities of monotone sets of configurations and on related isoperimetric constants. © 2008 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	2154-2164
Journal	Statistics and Probability Letters
Volume	78
Issue number	14
DOIs	https://doi.org/10.1016/j.spl.2008.02.002
Publication status	Published - 1 Oct 2008

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title = "Isoperimetric and related bounds on configuration spaces",

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 bounds on the probabilities of monotone sets of configurations and on related isoperimetric constants. {\textcopyright} 2008 Elsevier B.V. All rights reserved.",

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T1 - Isoperimetric and related bounds on configuration spaces

AU - Houdré, Christian

AU - Privault, Nicolas

PY - 2008/10/1

Y1 - 2008/10/1

N2 - 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 bounds on the probabilities of monotone sets of configurations and on related isoperimetric constants. © 2008 Elsevier B.V. All rights reserved.

AB - 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 bounds on the probabilities of monotone sets of configurations and on related isoperimetric constants. © 2008 Elsevier B.V. All rights reserved.

UR - https://www.scopus.com/pages/publications/50649109828

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-50649109828&origin=recordpage

U2 - 10.1016/j.spl.2008.02.002

DO - 10.1016/j.spl.2008.02.002

M3 - RGC 21 - Publication in refereed journal

SN - 0167-7152

VL - 78

SP - 2154

EP - 2164

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 14

ER -

Isoperimetric and related bounds on configuration spaces

Abstract

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