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Lengths, quasi-morphisms and statistics for free groups
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Sharp, Richard and Horsham, Matthew (2009) Lengths, quasi-morphisms and statistics for free groups. Contemporary Mathematics, Vol.484 . pp. 219-237. ISSN 0271-4132.
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Official URL: http://www.ams.org/publications/books/monographs/c...
Abstract
There is considerable interest in spaces of length functions defined on a free group F on k � 2 generators (or on its set of conjugacy classes). For example, the Culler-Vogtmann Outer space [13] has such a interpretation. The first aim of this note is to suggest a general notion of length function, which includes those which arise from isometric actions on negatively curved spaces and which are sufficiently
regular to lead to nice asymptotic properties.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Contemporary Mathematics | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0271-4132 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.484 | ||||
Page Range: | pp. 219-237 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Description: | "Spectral Analysis in Geometry and Number Theory" (Dedicated to Toshikazu Sunada on the occasion of his 60th birthday) |
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