4 papers
Minimal complexity cusped hyperbolic 3-manifolds with geodesic boundary
Anuradha Ekanayake, Max Forester, Nicholas Miller
In the early 2000s, Frigerio, Martelli, and Petronio studied -manifolds of smallest combinatorial complexity that admit hyperbolic structures. As part of this work they defined…
Semiclassical measures for complex hyperbolic quotients
Jayadev Athreya, Semyon Dyatlov, Nicholas Miller
We study semiclassical measures for Laplacian eigenfunctions on compact complex hyperbolic quotients. Geodesic flows on these quotients are a model case of hyperbolic dynamical sys…
Semiclassical Measures on Hyperbolic Manifolds
Elena Kim, Nicholas Miller
We examine semiclassical measures for Laplace eigenfunctions on compact hyperbolic -manifolds. We prove their support must contain the cosphere bundle of a compact immersed…
On signatures of the atoroidal bundles of Kent-Leininger
Jean-François Lafont, Nicholas Miller, Lorenzo Ruffoni
We show that there are infinitely many homeomorphism types of atoroidal surface bundles over surfaces which have signature zero.