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1. Thermodynamic Formalism for Nonuniformly Hyperbolic Dynamical Systems

open_access
Open Access
Author:
Mummert, Anna Beckhorn
Title:
Thermodynamic Formalism for Nonuniformly Hyperbolic Dynamical Systems
Graduate Program:
Mathematics
Keywords:
dynamical systems
thermodynamic formalism
smooth ergodic theory
nonuniform hyperbolicity
File:
Download thesis.pdf
Committee Members:
Yakov B Pesin, Committee Chair/Co-Chair
Piotr Berman, Committee Member
Svetlana Katok, Committee Member
Mark Levi, Committee Member
Arkady Tempelman, Committee Member
Howard Weiss, Committee Member

3. Growth Rate of Periodic orbits for Geodesic Flows on Surfaces with Regions of Positive Curvature

open_access
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 hyperbolic
growth of periodic orbits
dynamical systems
geodesic flows
positive curvature
Margulis measure
File:
Download bryceweaverdissertation.pdf
Committee Members:
Anatole Katok, Committee Chair/Co-Chair
Yakov B Pesin, Committee Member
Omri Sarig, Committee Member
David Gerard Abler, Committee Member

4. Application of Trade Space Visualization to Discrete and Continuous Complex Dynamical Systems

open_access
Open Access
Author:
Jordan, Daniel
Title:
Application of Trade Space Visualization to Discrete and Continuous Complex Dynamical Systems
Graduate Program:
Aerospace Engineering
Keywords:
differential evolution
visual steering
dynamical systems
constant acceleration
constant thrust
continuous thrust
trade space
human-in-the-loop optimization
File:
Download Daniel_D_Jordan_Masters_Thesis_-_Application_of_Trade_Space_Visualization_to_Discrete_and_Continuous_Complex_Dynamical_Systems.pdf
Committee Members:
Dr David B Spencer, Thesis Advisor/Co-Advisor
Dr David B Spencer, Thesis Advisor/Co-Advisor

5. Regular and Chaotic Dynamics of Outer Billiards

open_access
Open Access
Author:
Genin, Daniel Ilya
Title:
Regular and Chaotic Dynamics of Outer Billiards
Graduate Program:
Mathematics
Keywords:
dynamical systems
outer billiards
hyperbolicity
chaos
piecewise-isometry
complexity
File:
Download thesis.pdf
Committee Members:
Sergei Tabachnikov, Committee Chair/Co-Chair
Mark Levi, Committee Member
Yakov B Pesin, Committee Member
Howard Weiss, Committee Member
Elena Katok, Committee Member
Nigel David Higson, Committee Member

7. Precise asymptotics for periodic orbits of the geodesic flow in nonpositive curvature

open_access
Open Access
Author:
Gunesch, Roland
Title:
Precise asymptotics for periodic orbits of the geodesic flow in nonpositive curvature
Graduate Program:
Mathematics
Keywords:
dynamical systems
closed geodesics
Riemannian geometry
geodesic flows
measure of maximal entropy
nonpositive curvature
File:
Download etd.pdf
Committee Members:
John Metzner, Committee Member
Professor Dr Anatole B Katok, Committee Chair/Co-Chair
Professor Dr Mark Levi, Committee Member
Professor Dr Serge Tabachnikov, Committee Member

8. Thermodynamic formalism and multifractal analysis for general topological dynamical systems

open_access
Open Access
Author:
Climenhaga, Vaughn
Title:
Thermodynamic formalism and multifractal analysis for general topological dynamical systems
Graduate Program:
Mathematics
Keywords:
dynamical systems
ergodic theory
thermodynamic formalism
multifractal analysis
dimension theory
File:
Download climenhaga-thesis.pdf
Committee Members:
Yakov B Pesin, Dissertation Advisor/Co-Advisor
Yakov B Pesin, Committee Chair/Co-Chair
Omri Sarig, Committee Member
Mark Levi, Committee Member
Mark Strikman, Committee Member