arXiv Analytics

Sign in

arXiv:0910.3192 [math.GR]AbstractReferencesReviewsResources

Fractal trees for irreducible automorphisms of free groups

Thierry Coulbois

Published 2009-10-16Version 1

The self-similar structure of the attracting subshift of a primitive substitution is carried over to the limit set of the repelling tree in the boundary of Outer Space of the corresponding irreducible outer automorphism of a free group. Thus, this repelling tree is self-similar (in the sense of graph directed constructions). Its Hausdorff dimension is computed. This reveals the fractal nature of the attracting tree in the boundary of Outer Space of an irreducible outer automorphism of a free group.

Journal: Journal of Modern Dynamics, 4 (2010) 359 - 391
Categories: math.GR, math.DS
Subjects: 20E05, 20E08, 20F65, 37B10, 37C85
Related articles: Most relevant | Search more
arXiv:math/0601231 [math.GR] (Published 2006-01-10, updated 2006-03-10)
On a free group of transformations defined by an automaton
arXiv:1212.6749 [math.GR] (Published 2012-12-30, updated 2015-02-05)
Bounding the gap between a free group (outer) automorphism and its inverse
arXiv:1012.3267 [math.GR] (Published 2010-12-15, updated 2012-02-28)
Explicit computation of the index of a positive outer automorphism of the free group

Links

Toolbox