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SUMMARY:Parthanil Roy (Indian Statistical Institute\, Bangalore)
DTSTART:20200812T100000Z
DTEND:20200812T104500Z
DTSTAMP:20260421T173248Z
UID:BPS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPS/3/">Grou
 p measure space construction\, ergodicity and superrigidity for stable ran
 dom fields</a>\nby Parthanil Roy (Indian Statistical Institute\, Bangalore
 ) as part of Bangalore Probability Seminar\n\n\nAbstract\nIn this work\, i
 t is established that the group measure space construction corresponding t
 o a minimal representation is an invariant of a stationary symmetric $\\al
 pha$-stable (S$\\alpha$S) random field indexed by any countable group $G$.
  When $G=\\mathbb{Z}^d$\, we characterize ergodicity of stationary S$\\alp
 ha$S fields in terms of the central decomposition of this crossed product 
 von Neumann algebra coming from any (not necessarily minimal) Rosinski rep
 resentation. This shows that ergodicity is a $W^*$-rigid property (in a su
 itable sense) for this class of fields. All our results have analogues for
  stationary max-stable random fields as well.\n
LOCATION:https://researchseminars.org/talk/BPS/3/
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