17 citations · 73 across the 18 of their papers we have counts for
19 papers
Primitive stability and the Bowditch conditions revisited
Caroline Series
The equivalence of two conditions on the primitive elements in an representation of the free group , namely Minsky's condition of primitive stability…
Primitive stability and Bowditch's BQ-condition are equivalent
Caroline Series
We prove the equivalence of two conditions on the primitive elements in an representation of the free group on two generators, which may hold even when the…
Convergence of spherical averages for actions of Fuchsian Groups
Alexander I. Bufetov, Alexey Klimenko, Caroline Series
Pointwise convergence of spherical averages is proved for a measure-preserving action of a Fuchsian group. The proof is based on a new variant of the Bowen-Series symbolic coding f…
The diagonal slice of Schottky space
Caroline Series, Ser Peow Tan, Yasushi Yamashita
An irreducible representation of the free group on two generators X,Y into SL(2,C) is determined up to conjugation by the traces of X,Y and XY. We study the diagonal slice of repre…
Limits of limit sets II: Geometrically Infinite Groups
Mahan Mj, Caroline Series
We show that for a strongly convergent sequence of purely loxodromic finitely generated Kleinian groups with incompressible ends, Cannon-Thurston maps, viewed as maps from a fixed…
Limits of limit sets I
Mahan Mj, Caroline Series
We show that for a strongly convergent sequence of geometrically finite Kleinian groups with geometrically finite limit, the Cannon-Thurston maps of limit sets converge uniformly.…