Hyperbolic Measures on Infinite Dimensional Spaces

2014/05/12 by Sergey G. Bobkov, Bobkov, Sergey G., James Melbourne +1
Mathematics · #28C20 #60B11 #60F10 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #Probability (math.PR) #math.PR #msc:28C20 #msc:60B11 #msc:60F10

paper · pdf · doi:10.48550/arxiv.1405.2961

25 Pages

arxiv created 2014/05/12 · openalex publication_date 2014/05/12 · arxiv updated 2014/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

Citations

• An optimal Poincaré inequality for convex domains

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