Concentration of maps and group actions

Kei Funano

doi:10.1007/s10711-010-9470-2

Concentration of maps and group actions

Kei Funano

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study actions of compact groups and of Lévy groups on a large class of metric spaces, such as ℝ-trees, doubling spaces, metric graphs, and Hadamard manifolds, from the viewpoint of the theory of concentration of maps.

Original language	English
Pages (from-to)	103-119
Number of pages	17
Journal	Geometriae Dedicata
Volume	149
Issue number	1
DOIs	https://doi.org/10.1007/s10711-010-9470-2
Publication status	Published - 2010 Dec

Keywords

Concentration of maps
Lévy group
mm-space

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10.1007/s10711-010-9470-2

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title = "Concentration of maps and group actions",

abstract = "In this paper we study actions of compact groups and of L{\'e}vy groups on a large class of metric spaces, such as ℝ-trees, doubling spaces, metric graphs, and Hadamard manifolds, from the viewpoint of the theory of concentration of maps.",

keywords = "Concentration of maps, L{\'e}vy group, mm-space",

author = "Kei Funano",

note = "Funding Information: This work was partially supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists.",

year = "2010",

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doi = "10.1007/s10711-010-9470-2",

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KW - mm-space

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Concentration of maps and group actions

Abstract

Keywords

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