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

Abstract

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

Citation

Download Citation

Sergey G. Bobkov. James Melbourne. "Hyperbolic measures on infinite dimensional spaces." Probab. Surveys 13 57 - 88, 2016. https://doi.org/10.1214/14-PS238

Information

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

Subjects:
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
Back to Top