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Author:

Li, Tianjiang

Title:

Abstract Principal Component Analysis And Applications To Model Reduction

Graduate Program:

Mathematics

Keywords:

Banach operator algebra
standing and traveling waves
signal decomposition
extraction of transient modes
abstract principal component analysis
data mining

File:

Download Li-Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Anna L Mazzucato, Committee Member
Runze Li, Committee Member

Author:

Chen, Dong

Title:

On some problems in Lagrangian Dynamics and Finsler Geometry

Graduate Program:

Mathematics

Keywords:

KAM theory
Finsler metric
duel lens map Hamiltonian flow
perturbation
metric entropy
duel lens map
Hamiltonian flow
perturbation
metric entropy

File:

Download Dong_Chen-Dissertation_V2.pdf

Committee Members:

Dmitri Yu Burago, Dissertation Advisor/Co-Advisor
Dmitri Yu Burago, Committee Chair/Co-Chair
Federico Juan Rodriguez Hertz, Committee Member
Mark Levi, Committee Member
Runze Li, Outside Member

Author:

Ni, Jun

Title:

THREE ESSAYS ON QUANTITATIVE FINANCE

Graduate Program:

Mathematics

Keywords:

VIX modeling
Bond premia prediction
Asset allocation

File:

Download Thesis.pdf

Committee Members:

Jingzhi Huang, Dissertation Advisor/Co-Advisor
Jingzhi Huang, Committee Chair/Co-Chair
Anna L Mazzucato, Committee Member
Xiantao Li, Committee Member
Runze Li, Outside Member