Open Access
2016 Hyperbolic measures on infinite dimensional spaces
Sergey G. Bobkov, James Melbourne
Probab. Surveys 13: 57-88 (2016). DOI: 10.1214/14-PS238


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


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Sergey G. Bobkov. James Melbourne. "Hyperbolic measures on infinite dimensional spaces." Probab. Surveys 13 57 - 88, 2016.


Received: 1 May 2014; Published: 2016
First available in Project Euclid: 7 June 2016

zbMATH: 1342.60006
MathSciNet: MR3511344
Digital Object Identifier: 10.1214/14-PS238

Primary: 28C20 , 60B11 , 60F10

Keywords: dilation of sets , dimension , Hyperbolic (convex) measures , Localization

Rights: Copyright © 2016 The Institute of Mathematical Statistics and the Bernoulli Society

Vol.13 • 2016
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