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SUMMARY:Corentin Correia\, "Odomutants and flexibility results for quantit
 ative orbit equivalence"
DTSTART:20250522T083000Z
DTEND:20250522T100000Z
DTSTAMP:20260614T000900Z
UID:indico-event-13764@indico.math.cnrs.fr
DESCRIPTION:Two measurable bijections of a standard probability space are 
 orbit equivalent if they have the same orbits up to conjugacy. \nIn recen
 t years\, odometers have been a central class of systems for explicit cons
 tructions of orbit equivalences\, using their combinatorial structure. In 
 this talk we introduce a construction of orbit equivalence between odomete
 rs and new systems that we call odomutants. This richer class\, favourable
  to counter-examples\, provides three flexibility results on quantitative 
 versions of orbit equivalence. During this talk\, we will emphasize on one
  of them\, about the optimality of Belinskaya’s theorem. \nBelinskaya p
 roved that orbit equivalence with integrable cocycles boils down to flip-c
 onjugacy. We prove that it is optimal for all the odometers\, namely for e
 very odometer\, we find a odomutant which is almost-integrably orbit equiv
 alent to it but not flip-conjugate. This yields an extension of a theorem 
 by Carderi\, Joseph\, Le Maître and Tessera.\n\nhttps://indico.math.cnrs.
 fr/event/13764/
URL:https://indico.math.cnrs.fr/event/13764/
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