6 papers
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…
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…