Search

Author:

Egorov, Arseni

Title:

Symbolic Dynamics of the Weyl Chamber Flow

Graduate Program:

Mathematics

Keywords:

topological Markov chains
geodesic flow
Weyl chamber flow
geometric coding
arithmetic coding
symmetric spaces
continued fractions

File:

Download Dissertation.pdf

Committee Members:

Svetlana Katok, Dissertation Advisor/Co-Advisor
Svetlana Katok, Committee Chair/Co-Chair
Anatole Katok, Committee Member
Federico Rodriguez Hertz, Committee Member
Gutti Jogesh Babu, Committee Member

Author:

Erchenko, Alena

Title:

Flexibility of some dynamical and geometric data

Graduate Program:

Mathematics

Keywords:

dynamical systems
geodesic flow
entropy
flexibility

File:

Download AErchenko_thesis.pdf

Committee Members:

Anatole Katok, Dissertation Advisor/Co-Advisor
Anatole Katok, Committee Chair/Co-Chair
Federico Rodriguez Hertz, Committee Member
Alexei Novikov, Committee Member
Eric Hudson, Outside Member

Author:

Zydney, Adam J

Title:

Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups

Graduate Program:

Mathematics

Keywords:

geodesic flow
symbolic dynamics
continued fractions
complex numbers
reduction theory
Fuchsian groups

File:

Download Dissertation_Final_for_Graduate_School.pdf

Committee Members:

Svetlana Katok, Dissertation Advisor/Co-Advisor
Svetlana Katok, Committee Chair/Co-Chair
Federico Juan Rodriguez Hertz, Committee Member
Antole Katok, Committee Member
Kyusun Choi, Outside Member