Abstract
In a related paper we showed that Ruelle's property for a Fuchsian group $G$ fails if the group has a condition we called `big deformations near infinity'. In this paper we give geometric conditions on $R = \disk /G$ which imply this condition. In particular, it holds whenever $G$ is divergence type and $R$ has injectivity radius bounded from below. We will also give examples of groups which do not have big deformations near infinity.
Citation
Christopher J. Bishop. "Big deformations near infinity." Illinois J. Math. 47 (4) 977 - 996, Winter 2003. https://doi.org/10.1215/ijm/1258138087
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