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SUMMARY:Unimodular Random Measured Metric Spaces and Palm Theory on Them
DTSTART:20230530T120000Z
DTEND:20230530T140000Z
DTSTAMP:20240625T184000Z
UID:indico-event-9836@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ali Khezeli (Centre Inria de Paris\, France and Tarb
iat Modares University\, Teheran\, Iran.)\n\nAbstract:In this work\, we de
fine the notion of unimodular random measured metric spaces as a common ge
neralization of various other notions. This includes the discrete cases li
ke unimodular graphs and stationary point processes\, as well as the non-d
iscrete cases like stationary random measures and the continuum metric spa
ces arising as scaling limits of graphs. We provide various examples and p
rove many general results\; e.g.\, on weak limits\, re-rooting invariance\
, random walks\, ergodic decomposition\, amenability and balancing transpo
rt kernels. In addition\, we generalize the Palm theory to point processes
and random measures on a given unimodular space. This is useful for Palm
calculations and also for reducing some problems to the discrete cases.Key
words:unimodular\, mass transport principle\, random metric space\n\nhttps
://indico.math.cnrs.fr/event/9836/
LOCATION:Zoom
URL:https://indico.math.cnrs.fr/event/9836/
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