Martin boundary covers Floyd boundary
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Martin boundary covers Floyd boundary
Author(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]
Journal title :
Inventiones Mathematicae
Pages :
759-809
Publisher :
Springer Verlag
Publication date :
2021-01-21
ISSN :
0020-9910
HAL domain(s) :
Mathématiques [math]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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