1. Growth Rate of Periodic orbits for Geodesic Flows on Surfaces with Regions of Positive Curvature Open Access Author: Weaver, Bryce A. Title: Growth Rate of Periodic orbits for Geodesic Flows on Surfaces with Regions of Positive Curvature Graduate Program: Mathematics Keywords: non-uniformly hyperbolicgrowth of periodic orbitsdynamical systemsgeodesic flowspositive curvatureMargulis measure File: Download bryceweaverdissertation.pdf Committee Members: Anatole Katok, Committee Chair/Co-ChairYakov B Pesin, Committee MemberOmri Sarig, Committee MemberDavid Gerard Abler, Committee Member