Hyperbolic measures on infinite dimensional spaces

Sergey G. Bobkov; James Melbourne

doi:10.1214/14-PS238

Hyperbolic measures on infinite dimensional spaces

Sergey G. Bobkov, James Melbourne

School of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Localization and dilation procedures are discussed for infinite dimensional α-concave measures on abstract locally convex spaces (following Borell's hierarchy of hyperbolic measures).

Original language	English (US)
Pages (from-to)	57-88
Number of pages	32
Journal	Probability Surveys
Volume	13
Issue number	2016
DOIs	https://doi.org/10.1214/14-PS238
State	Published - 2016

Bibliographical note

Funding Information:
*This work supported in part by NSF grants DMS-1106530 and DMS-1612961 and the Alexander von Humboldt Foundation. †This work supported in part by NSF grants CCF-1346564, DMS-1409504.

Keywords

Dilation of sets
Dimension
Hyperbolic (convex) measures
Localization

Publisher link

10.1214/14-PS238

Find It

Find It at U of M Libraries

Cite this

@article{c5b519b10efc45098844c58d21f39655,

title = "Hyperbolic measures on infinite dimensional spaces",

abstract = "Localization and dilation procedures are discussed for infinite dimensional α-concave measures on abstract locally convex spaces (following Borell's hierarchy of hyperbolic measures).",

keywords = "Dilation of sets, Dimension, Hyperbolic (convex) measures, Localization",

author = "Bobkov, {Sergey G.} and James Melbourne",

note = "Funding Information: *This work supported in part by NSF grants DMS-1106530 and DMS-1612961 and the Alexander von Humboldt Foundation. †This work supported in part by NSF grants CCF-1346564, DMS-1409504.",

year = "2016",

doi = "10.1214/14-PS238",

language = "English (US)",

volume = "13",

pages = "57--88",

journal = "Probability Surveys",

issn = "1549-5787",

publisher = "Institute of Mathematical Statistics",

number = "2016",

}

TY - JOUR

T1 - Hyperbolic measures on infinite dimensional spaces

AU - Bobkov, Sergey G.

AU - Melbourne, James

N1 - Funding Information: *This work supported in part by NSF grants DMS-1106530 and DMS-1612961 and the Alexander von Humboldt Foundation. †This work supported in part by NSF grants CCF-1346564, DMS-1409504.

PY - 2016

Y1 - 2016

N2 - Localization and dilation procedures are discussed for infinite dimensional α-concave measures on abstract locally convex spaces (following Borell's hierarchy of hyperbolic measures).

AB - Localization and dilation procedures are discussed for infinite dimensional α-concave measures on abstract locally convex spaces (following Borell's hierarchy of hyperbolic measures).

KW - Dilation of sets

KW - Dimension

KW - Hyperbolic (convex) measures

KW - Localization

UR - http://www.scopus.com/inward/record.url?scp=84979201663&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84979201663&partnerID=8YFLogxK

U2 - 10.1214/14-PS238

DO - 10.1214/14-PS238

M3 - Article

AN - SCOPUS:84979201663

SN - 1549-5787

VL - 13

SP - 57

EP - 88

JO - Probability Surveys

JF - Probability Surveys

IS - 2016

ER -

Hyperbolic measures on infinite dimensional spaces

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this