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
2. Precise asymptotics for periodic orbits of the geodesic flow in nonpositive curvature Open Access Author: Gunesch, Roland Title: Precise asymptotics for periodic orbits of the geodesic flow in nonpositive curvature Graduate Program: Mathematics Keywords: dynamical systemsclosed geodesicsRiemannian geometrygeodesic flowsmeasure of maximal entropynonpositive curvature File: Download etd.pdf Committee Members: John Metzner, Committee MemberProfessor Dr Anatole B Katok, Committee Chair/Co-ChairProfessor Dr Mark Levi, Committee MemberProfessor Dr Serge Tabachnikov, Committee Member
