18 citations · 105 across the 29 of their papers we have counts for
6 papers · 1 filter
Strong spectral gap for geometrically finite hyperbolic manifolds
Dubi Kelmer, Osama Khalil, Pratyush Sarkar
Let for be a Zariski dense, geometrically finite, discrete subgroup with critical exponent strictly greater than . We show that…
Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds
Dubi Kelmer, Hee Oh
Let be a geometrically finite hyperbolic manifold. We present a very general theorem on the shrinking target problem for the geodesic flow, using its exponential mixi…
Shrinking targets problems for flows on homogeneous spaces
Dubi Kelmer, Shucheng Yu
We study shrinking targets problems for discrete time flows on a homogenous space with a semisimple group and an irreducible lattice. Our results apply to b…
Shrinking targets for discrete time flows on hyperbolic manifolds
Dubi Kelmer
We prove dynamical Borel Canteli Lemmas for discrete time homogenous flows hitting a sequence of shrinking targets in a hyperbolic manifold. These results apply to both diagonaliza…
Shrinking Targets for Semisimple Groups
Anish Ghosh, Dubi Kelmer
We study the shrinking target problem for actions of semisimple groups on homogeneous spaces, with applications to logarithm laws and Diophantine approximation.
Logarithm laws for one parameter unipotent flows
Dubi Kelmer, Amir Mohammadi
We prove logarithm laws and shrinking target properties for unipotent flows on the homogenous space $Γ\bs G$ with $G=\SL_2(\bbR)^{r_1}\times\SL_2(\bbC)^{r_2}$ and an…