The Whishart–Pickrell Distributions and Closures of Group Actions
- Autores: Neretin Y.A.1,2,3,4
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Afiliações:
- University of Vienna, Vienna, Austria
- Institute for Theoretical and Experimental Physics
- Moscow State University
- Institute for Information Transmission Problems
- Edição: Volume 224, Nº 2 (2017)
- Páginas: 328-334
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239563
- DOI: https://doi.org/10.1007/s10958-017-3417-1
- ID: 239563
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Resumo
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.
Sobre autores
Yu. Neretin
University of Vienna, Vienna, Austria; Institute for Theoretical and Experimental Physics; Moscow State University; Institute for Information Transmission Problems
Autor responsável pela correspondência
Email: neretin@mccme.ru
Rússia, Moscow
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