Abstract
In this paper, we establish statistical results for a convex co-compact action of a free group on a CAT((Formula presented.)) space where we restrict to a non-trivial conjugacy class in the group. In particular, we obtain a central limit theorem where the variance is twice the variance that appears when we do not make this restriction.
Original language | English |
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Pages (from-to) | 1-14 |
Number of pages | 14 |
Journal | Geometriae Dedicata |
Early online date | 9 Feb 2018 |
DOIs | |
Publication status | E-pub ahead of print - 9 Feb 2018 |
Keywords
- Central limit theorem
- Conjugacy class
- Convex co-compact
- Free group
- Generating functions
- Measure of maximal entropy
- Subshift of finite type
- Thermodynamic formalism
- Transfer operators