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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

11. effect of tidal dissipation on the motion of celestial bodies

open_access
Open Access
Author:
Ai , Chong
Title:
effect of tidal dissipation on the motion of celestial bodies
Graduate Program:
Mathematics
Keywords:
tidal effect
tidal dissipation
3-body problem
dynamical systems
celestial bodies
stability
File:
Download Chong_Ai-Dissertation.pdf
Committee Members:
Mark Levi, Dissertation Advisor/Co-Advisor
Mark Levi, Committee Chair/Co-Chair
Sergei Tabachnikov, Committee Member
Diane Marie Henderson, Committee Member
Milton Walter Cole, Committee Member

12. Investigating genetic moderation of intervention effects on adolescent substance use and delinquency with dynamical systems analysis

open_access
Open Access
Author:
Zheng, Yao
Title:
Investigating genetic moderation of intervention effects on adolescent substance use and delinquency with dynamical systems analysis
Graduate Program:
Human Development and Family Studies
Keywords:
dynamical systems
adolescence
substance use
delinquency
differential susceptibility theory
damped linear oscillator model
File:
Download Dissertation_ToGraduateSchool_Final_Zheng.pdf
Committee Members:
Hobart H Cleveland Iii, Dissertation Advisor/Co-Advisor
Peter Cm Molenaar, Committee Chair/Co-Chair
D Wayne Osgood, Committee Member
Edward A Smith, Committee Member
Sy Miin Chow, Committee Member
Debashis Ghosh, Committee Member

13. Studies on the weak convergence of partial sums in Gibbs-Markov dynamical systems

open_access
Open Access
Author:
Zhang, Xuan
Title:
Studies on the weak convergence of partial sums in Gibbs-Markov dynamical systems
Graduate Program:
Mathematics
Keywords:
weak convergence
Gibbs-Markov
dynamical systems
Poisson limit theorem
central limit theorem
first return times
File:
Download XZ-Dissertation.pdf
Committee Members:
Manfred Heinz Denker, Dissertation Advisor/Co-Advisor
Manfred Heinz Denker, Committee Chair/Co-Chair
Yakov B Pesin, Committee Member
Federico Rodriguez Hertz, Committee Member
Guodong Pang, Committee Member

16. Rigidity for abelian actions with rank 1 factors

open_access
Open Access
Author:
Rudenko, Oleg
Title:
Rigidity for abelian actions with rank 1 factors
Graduate Program:
Mathematics
Keywords:
dynamical systems
rank 1 factors
abelian actions
rigidity
File:
Download Rudenko-Dissertation.pdf
Committee Members:
Federico Juan Rodriguez Hertz, Dissertation Advisor/Co-Advisor
Federico Juan Rodriguez Hertz, Committee Chair/Co-Chair
Boris V Kalinin, Committee Member
Zhiren Wang, Committee Member
Eugenio Bianchi, Outside Member

17. Arithmeticity for Smooth Maximal Rank Positive Entropy Actions of R^k

open_access
Open Access
Author:
Uzman, Ali Alp
Title:
Arithmeticity for Smooth Maximal Rank Positive Entropy Actions of R^k
Graduate Program:
Mathematics
Keywords:
arithmeticity
measure rigidity
smooth ergodic theory
dynamical systems
File:
Download uzman_dissertation_final.pdf
Committee Members:
Federico Rodriguez Hertz, Chair & Dissertation Advisor
Zhiren Wang, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies
Martin Bojowald, Outside Unit & Field Member
Boris Kalinin, Major Field Member

18. Physics-informed model reduction of dynamical systems subjected to impacts and discontinuity

open_access
Open Access
Author:
Bhattacharyya, Suparno
Title:
Physics-informed model reduction of dynamical systems subjected to impacts and discontinuity
Graduate Program:
Engineering Science and Mechanics
Keywords:
Physics-informed model reduction
reduced order modeling
model reduction
structural vibration
nonlinear dynamics
impulsive loading
kicked oscillator
data-driven methods
dimension reduction
POD
PCA
Proper orthogonal decomposition
Energy-closure criterion
vibration
structural dynamics
simulation
beam theory
solid mechanics
dynamical systems
chaos
bifurcation
File:
Download Bhattacharyya_PhD_thesis.pdf
Committee Members:
Joseph Cusumano, Chair & Dissertation Advisor
Corina Drapaca, Major Field Member
Francesco Costanzo, Major & Minor Field Member
George Lesieutre, Outside Unit & Field Member
Albert Segall, Program Head/Chair