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Distortion and entropy for automorphisms of free groups
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Sharp, Richard (2009) Distortion and entropy for automorphisms of free groups. Discrete and Continuous Dynamical Systems, Vol.26 (No.1). pp. 347-363. doi:10.3934/dcds.2010.26.347 ISSN 1078-0947.
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Official URL: http://dx.doi.org/10.3934/dcds.2010.26.347
Abstract
Recently, several numerical invariants have been introduced to characterize the distortion induced by automorphisms of a free group. We unify these by interpreting them in terms of an entropy function of a kind familiar in thermodynamic ergodic theory. We draw an analogy between this approach and the Manhattan curve associated to a pair of hyperbolic surfaces.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1078-0947 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.26 | ||||
Number: | No.1 | ||||
Page Range: | pp. 347-363 | ||||
DOI: | 10.3934/dcds.2010.26.347 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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