Seonhee Lim
On the distribution of orbits of geometrically finite hyperbolic groups on the boundary.
Fri, 04/16/2010 - 15:01 — SomNambulAuthors: Seonhee Lim, Hee Oh
Subjects: Dynamical Systems
AbstractWe investigate the distribution of orbits of a geometrically finite group
acting on a hyperbolic space and its geometric boundary. In particular we show
that the orbit of a non-elementary geometrically finite subgroup of the
(orientation-preserving) isometry group of hyperbolic space in the geometric
boundary is equidistributed with respect to the Patterson-Sullivan measure
supported on the limit set.On Commensurizer Growth.
Mon, 11/09/2009 - 16:01 — SomNambulAuthors: Eran Nevo, Nir Avni, Seonhee Lim
Subjects: Group Theory
AbstractWe study new asymptotic invariant of a pair consisting of a group and a
subgroup, which we call Commensurizer Growth. We compute the commensurizer
growth for several examples, concentrating mainly on the case of a locally
compact topological group and a lattice inside it.
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