4 papers · 1 filter
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…
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.
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…