1 citations · 1 across the 9 of their papers we have counts for
10 papers
Extremal entropy for products of Fuchsian representations
Richard Canary, Dongryul Kim
In this paper, we count the number of (almost) extremally stretched closed geodesics for a pair of (non-conjugate) Fuchsian representations of a closed surface group, and show that…
Orbital counting for relatively Anosov groups
Richard Canary, Tengren Zhang, Feng Zhu +1
We obtain orbital counting results for relatively Anosov groups with respect to linear functionals with finite critical exponent. Our counting results follow from an equidistributi…
A rigidity theorem for complex Kleinian groups
Richard Canary, Tengren Zhang, Andrew Zimmer
Farre, Pozzetti and Viaggi proved that any (d-k)-hyperconvex subgroup of PSL(d,C) is virtually isomorphic to a convex cocompact Kleinian group and that its k-th simple root critica…
Kleinian viewpoints on higher rank worlds
Richard D. Canary
This paper is designed to attract people who work on real hyperbolic manifolds to consider thinking about discrete subgroups of higher rank Lie groups. To that end, we breezily dis…
Geometry and Dynamics of Transverse Groups
Richard Canary, Tengren Zhang, Andrew Zimmer
We survey recent work on the geometry and dynamics of transverse subgroups of semi-simple Lie groups.
Bi-Lipschitz rigidity of discrete subgroups
Richard Canary, Hee Oh, Andrew Zimmer
We obtain a bi-Lipschitz rigidity theorem for a Zariski dense discrete subgroup of a connected simple real algebraic group. As an application, we show that any Zariski dense discre…
Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups
Pierre-Louis Blayac, Richard Canary, Feng Zhu +1
We establish counting, mixing and equidistribution results for finite BMS measures on flow spaces associated to geometrically finite convergence group actions. We show that, in par…
Patterson-Sullivan theory for coarse cocycles
Pierre-Louis Blayac, Richard Canary, Feng Zhu +1
In this paper we develop a theory of Patterson--Sullivan measures associated to coarse cocycles of convergence groups. This framework includes Patterson-Sullivan measures associate…
Entropy rigidity for cusped Hitchin representations
Richard Canary, Tengren Zhang, Andrew Zimmer
We establish an entropy rigidity theorem for Hitchin representations of all geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin rep…
Pressure metrics for cusped Hitchin components
Harrison Bray, Richard Canary, Lien-Yung Kao +1
We study the cusped Hitchin component consisting of (conjugacy classes of) cusped Hitchin representations of a torsion-free geometrically finite Fuchsian group into PSL(d,R). We pr…