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 Hyperbolic Measures on Infinite Dimensional Spaces
 Sergey G. Bobkov, University of MinnesotaJames C. Melbourne, University of Minnesota

 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). AMS 2000 subject classifications: 60B11, 28C20, 60F10.Keywords: Hyperbolic (convex) measures, dimension, localization, dilation of sets.
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Bobkov, Sergey G., Melbourne, James C., Hyperbolic Measures on Infinite Dimensional Spaces, Probability Surveys, 13, (2016), 57-88 (electronic). DOI: 10.1214/14-PS238.

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