1. Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups Open Access Author: Zydney, Adam J Title: Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups Graduate Program: Mathematics Keywords: geodesic flowsymbolic dynamicscontinued fractionscomplex numbersreduction theoryFuchsian groups File: Download Dissertation_Final_for_Graduate_School.pdf Committee Members: Svetlana Katok, Dissertation Advisor/Co-AdvisorSvetlana Katok, Committee Chair/Co-ChairFederico Juan Rodriguez Hertz, Committee MemberAntole Katok, Committee MemberKyusun Choi, Outside Member