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SUMMARY:Paradoxical Decompositions and Colouring Rules - Robert Simon (LSE
 )
DTSTART:20231130T143000Z
DTEND:20231130T153000Z
UID:TALK209167@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:A colouring rule is a way to colour the points x of a probabil
 ity space according to the colours of finitely many measure preserving tra
 nformations of x. The rule is paradoxical if the rule can be satisfied a.e
 . by some colourings\, but by none whose inverse images are measurable wit
 h respect to any finitely additive extension for which the transformations
  remain measure preserving. We show that proper colouring as a rule can be
  paradoxical. And we demonstrate rules defined via optimisation that are p
 aradoxical.   A connection to measure theoretic  paradoxes is established.
 \n
LOCATION:MR12
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