18 citations · 35 across the 7 of their papers we have counts for
7 papers · 1 filter
Exponential mixing of frame flows for geometrically finite hyperbolic manifolds
Jialun Li, Wenyu Pan, Pratyush Sarkar
As a final work to establish that frame flows for geometrically finite hyperbolic manifolds of arbitrary dimensions are exponentially mixing with respect to the Bowen-Margulis-Sull…
Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps
Jialun Li, Wenyu Pan
Let be a geometrically finite discrete subgroup in with parabolic elements. We establish exponential mixing of the geodesic flow on the unit…
Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay
Jialun Li, Frederic Naud, Wenyu Pan
Let be a Zariski dense Kleinian Schottky subgroup of PSL2(C). Let be its limit set, endowed with a Patterson-Sullivan measure supported on . We show that the F…
Local mixing on abelian covers of hyperbolic surfaces with cusps
Wenyu Pan
We prove the local mixing theorem for geodesic flows on abelian covers finite volume hyperbolic surfaces with cusps, which is a continuation of the work of Oh-Pan. We also describe…
Local mixing and invariant measures for horospherical subgroups on abelian covers
Hee Oh, Wenyu Pan
Abelian covers of hyperbolic -manifolds are ubiquitous. We prove the local mixing theorem of the frame flow for abelian covers of closed hyperbolic -manifolds. We obtain a cl…
Joining measures for horocycle flows on abelian covers
Wenyu Pan
A celebrated result of Ratner from the eighties says that two horocycle flows on hyperbolic surfaces of finite area are either the same up to algebraic change of coordinates, or th…
Effective equidistribution of circles in the limit sets of Kleinian groups
Wenyu Pan
Consider a general circle packing in the complex plane invariant under a Kleinian group . When is convex-cocompact or its critical exponent is gre…