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X-WR-CALNAME:Statistical implications of group invariance of distributions 
 - Peter Orbanz\, Professor\, University College London
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TZUNTIL:20241103T090000Z
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DESCRIPTION:Abstract: Consider a large random structure -- a random graph\,
  a stochastic process on the line\, a random field on the grid -- and a fu
 nction that depends only on a small part of the structure. Now use a famil
 y of transformations to ‘move’ the domain of the function over the structu
 re\, collect each function value\, and average. Under suitable conditions\
 , the law of large numbers generalizes to such averages\; that is one of t
 he deep insights of modern ergodic theory. My own recent work with Morgane
  Austern (Harvard) shows that central limit theorems and other higher-orde
 r properties also hold…
DTSTART;TZID=America/Vancouver:20230420T130000
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LAST-MODIFIED:20230412T222416Z
LOCATION:UBC Vancouver Campus\, ESB 4192
SUMMARY:Statistical implications of group invariance of distributions - Pet
 er Orbanz\, Professor\, University College London
TRANSP:OPAQUE
URL:https://caida.ubc.ca/event/statistical-implications-group-invariance-di
 stributions-peter-orbanz-professor-university
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