Isoperimetric and related bounds on configuration spaces

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

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Author(s)

  • Christian Houdré
  • Nicolas Privault

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)2154-2164
Journal / PublicationStatistics and Probability Letters
Volume78
Issue number14
Publication statusPublished - 1 Oct 2008

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-50649109828&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(eda89873-643f-44ca-b308-325c7a69985a).html

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.

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Publication fingerprints text

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Configuration Space Keyphrases
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Boundary Measure Keyphrases
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Surface Measures Keyphrases
100
Monotone Sets Keyphrases
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Coarea Formula Keyphrases
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Finite Difference O... Keyphrases
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Configuration Setti... Keyphrases
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Poisson Measure Keyphrases
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Isoperimetric Const... Keyphrases
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Isoperimetric Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Isoperimetric and related bounds on configuration spaces. / Houdré, Christian; Privault, Nicolas.
In: Statistics and Probability Letters, Vol. 78, No. 14, 01.10.2008, p. 2154-2164.

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