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TZID:Europe/Paris
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UID:6895@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20191129T143000
DTEND;TZID=Europe/Paris:20191129T153000
DTSTAMP:20241120T202620Z
URL:https://www.i2m.univ-amu.fr/evenements/propriete-dindistingabilite-en-
 percolation-sebastien-martineau/
SUMMARY:Sébastien Martineau (LPSM\, Sorbonne Université\, Paris): Propri
 été d'indistingabilité en percolation - Sébastien Martineau
DESCRIPTION:Sébastien Martineau: Ergodicity and indistinguishability in pe
 rcolation theory. https://arxiv.org/abs/1210.1548\nThis talk explores the 
 link between the ergodicity of the cluster equivalence relation restricted
  to its infinite locus and the indistinguishability of infinite clusters. 
 It is an important element of the dictionary connecting orbit equivalence 
 and percolation theory. This note starts with a short exposition of some s
 tandard material of these theories. Then\, the classic correspondence betw
 een ergodicity and indistinguishability is presented. Finally\, we introdu
 ce a notion of strong indistinguishability that corresponds to strong ergo
 dicity\, and obtain that this strong indistinguishability holds in the Ber
 noulli case. We also define an invariant percolation that is not insertion
 -tolerant\, satisfies the Indistinguishability Property and does not satis
 fy the Strong Indistinguishability Property.\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Sebastien_Martineau.jpg
CATEGORIES:Groupe de travail,Séminaire,Géométrie des
 Groupes,Probabilités
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TZID:Europe/Paris
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DTSTART:20191027T020000
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