14 citations · 47 across the 23 of their papers we have counts for
Showing 2016 · math.GTShow all
3 papers · 2 filters
math.GT2016★ 5 cited
The Smallest Positive Eigenvalue Of Fibered Hyperbolic 3-Manifolds
Hyungryul Baik, Ilya Gekhtman, Ursula Hamenstaedt
We study the smallest positive eigenvalue of the Laplace-Beltrami operator on a closed hyperbolic 3-manifold which fibers over the circle, with fiber a closed surface…
math.GT2016
Exponential Torsion Growth for Random 3-Manifolds
Hyungryul Baik, David Bauer, Ilya Gekhtman +5
We show that a random 3-manifold with positive first Betti number admits a tower of cyclic covers with exponential torsion growth.
math.GT2016★ 14 cited
Counting loxodromics for hyperbolic actions
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
Let be a nonelementary action by isometries of a hyperbolic group on a hyperbolic metric space . We show that the set of elements of which act as…