Martin boundary covers Floyd boundary
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Martin boundary covers Floyd boundary
Auteur(s) :
Gekhtman, Ilya [Auteur]
Gerasimov, Victor [Auteur]
Potyagailo, Leonid [Auteur]
Département de mathématiques [Lille]
Yang, Wenyuan [Auteur]
Gerasimov, Victor [Auteur]
Potyagailo, Leonid [Auteur]
Département de mathématiques [Lille]
Yang, Wenyuan [Auteur]
Titre de la revue :
Inventiones Mathematicae
Pagination :
759-809
Éditeur :
Springer Verlag
Date de publication :
2021-01-21
ISSN :
0020-9910
Discipline(s) HAL :
Mathématiques [math]
Résumé en anglais : [en]
For a random walk on a finitely generated group G we obtain ageneralization of a classical inequality of Ancona. We deduce as a corollarythat the identity map on G extends to a continuous equivariant surjection fromthe ...
Lire la suite >For a random walk on a finitely generated group G we obtain ageneralization of a classical inequality of Ancona. We deduce as a corollarythat the identity map on G extends to a continuous equivariant surjection fromthe Martin boundary to the Floyd boundary, with preimages of conical pointsbeing singletons. This provides new results for Martin compactifications ofrelatively hyperbolic groups.Lire moins >
Lire la suite >For a random walk on a finitely generated group G we obtain ageneralization of a classical inequality of Ancona. We deduce as a corollarythat the identity map on G extends to a continuous equivariant surjection fromthe Martin boundary to the Floyd boundary, with preimages of conical pointsbeing singletons. This provides new results for Martin compactifications ofrelatively hyperbolic groups.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
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