Email this article The Whishart–Pickrell Distributions and Closures of Group Actions
- Authors: Neretin Y.A.1,2,3,4
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Affiliations:
- University of Vienna, Vienna, Austria
- Institute for Theoretical and Experimental Physics
- Moscow State University
- Institute for Information Transmission Problems
- Issue: Vol 224, No 2 (2017)
- Pages: 328-334
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239563
- DOI: https://doi.org/10.1007/s10958-017-3417-1
- ID: 239563
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Abstract
Consider probability distributions on the space of infinite Hermitian matrices Herm(∞) invariant with respect to the unitary group U(∞). We describe the closure of U(∞) in the semigroup of spreading maps (polymorphisms) of Herm(∞); this closure is a semigroup isomorphic to the semigroup of all contractive operators.
About the authors
Yu. A. Neretin
University of Vienna, Vienna, Austria; Institute for Theoretical and Experimental Physics; Moscow State University; Institute for Information Transmission Problems
Author for correspondence.
Email: neretin@mccme.ru
Russian Federation, Moscow
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