Publication: Lindsay Dever, Ph.D. '22 and Mathematics' Djordje Milićević
"Ambient Prime Geodesic Theorems on Hyperbolic 3-Manifolds"
Authors: Dever, Lindsay; Milićević, Djordje
Source: International Mathematics Research Notices, DOI: 10.1093/imrn/rnab048, October 2021
Type of Publication: Journal Article
Abstract: We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manifold with length and holonomy in prescribed intervals, which are allowed to shrink. Our results imply effective equidistribution of holonomy and have both the rate of shrinking and the strength of the error term fully symmetric in length and holonomy.
Djordje Milićević is an Associate Professor of Mathematics.