18 citations · 129 across the 24 of their papers we have counts for
24 papers
Puncture-Forgetting Maps for Measured Foliations and Applications in Teichmüller Space and Complex Dynamics
Jeremy Kahn, Insung Park
We introduce puncture-forgetting maps for measured foliations and investigate their relations with mapping class groups, Teichmüller spaces, and extremal length. To this end, we de…
MLC for parabolically bounded primitive renormalization
Jeremy Kahn, Alex Kapiamba, Mikhail Lyubich
We prove bounds and MLC (local connectivity of the Mandelbrot set ) for a class of infinitely renormalizable parameters whose renormalization type…
Surface Subgroups for Cocompact Lattices of Isometries of
Jeremy Kahn, Zhenghao Rao
We prove the existence of surface subgroups within any cocompact lattice in for . This result addresses the cases missing from the work of Hamenstäd…
Geometrically and topologically random surfaces in a closed hyperbolic three manifold
Jeremy Kahn, Vladimir Markovic, Ilia Smilga
We study the distribution of geometrically and topologically nearly geodesic random surfaces in a closed hyperbolic 3-manifold M. In particular, we describe PSL(2,R) invariant meas…
Hodge and Teichmüller
Jeremy Kahn, Alex Wright
We consider the derivative of the projection from a stratum of Abelian or quadratic differentials to Teichmüller space. A closed one-form determines a relative cohomol…
Nearly Fuchsian surface subgroups of finite covolume Kleinian groups
Jeremy Kahn, Alex Wright
Let Gamma < PSL_2(C) be discrete, cofinite volume, and noncocompact. We prove that for all K > 1, there is a subgroup H < Gamma that is K-quasiconformally conjugate to a discrete c…