1. Symbolic Dynamics of the Weyl Chamber Flow Open Access Author: Egorov, Arseni Title: Symbolic Dynamics of the Weyl Chamber Flow Graduate Program: Mathematics Keywords: topological Markov chainsgeodesic flowWeyl chamber flowgeometric codingarithmetic codingsymmetric spacescontinued fractions File: Download Dissertation.pdf Committee Members: Svetlana Katok, Dissertation Advisor/Co-AdvisorSvetlana Katok, Committee Chair/Co-ChairAnatole Katok, Committee MemberFederico Rodriguez Hertz, Committee MemberGutti Jogesh Babu, Committee Member
2. 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