3 papers
math.DS2026
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…
math.DG2025
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…
math.DS2025
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.