25 citations · 137 across the 30 of their papers we have counts for
34 papers
Patterson-Sullivan measures for relatively Anosov groups
Richard Canary, Andrew Zimmer, Tengren Zhang
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relatively Anosov groups. As applications we obtain an entropy gap theorem and a stric…
Patterson-Sullivan measures for transverse subgroups
Richard Canary, Tengren Zhang, Andrew Zimmer
We study Patterson-Sullivan measures for a class of discrete subgroups of higher rank semisimple Lie groups, called transverse groups, whose limit set is well-defined and transvers…
Hitchin representations of Fuchsian groups
Richard Canary
We survey the theory of Hitchin representations of Fuchsian groups and describe a conjectural geometric picture of an augmented Hitchin component.
Cusped Hitchin representations and Anosov representations of geometrically finite Fuchsian groups
Richard Canary, Tengren Zhang, Andrew Zimmer
We develop a theory of Anosov representation of geometrically finite Fuchsian groups in SL(d,R) and show that cusped Hitchin representations are Borel Anosov in this sense. We esta…
Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations
Harrison Bray, Richard Canary, Lien-Yung Kao +1
We show that if an eventually positive, non-arithmetic, locally Hölder continuous potential for a topologically mixing countable Markov shift with (BIP) has an entropy gap at infin…
Pressure metrics for deformation spaces of quasifuchsian groups with parabolics
Harrison Bray, Richard Canary, Lien-Yung Kao
In this paper, we produce a mapping class group invariant pressure metric on the space QF(S) of quasiconformal deformations of a co-finite area Fuchsian group uniformizing a surfac…