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Open Access

Author:: Turner, Jacob Wade
Title:: The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications
Graduate Program:: Mathematics
Keywords:: Representation Theory
Algebraic Geometry
File:: Download dissertation.pdf
Committee Members:: Jason Ryder Morton, Dissertation Advisor/Co-Advisor
A Kirsten Eisentraeger, Committee Chair/Co-Chair
Carina Pamela Curto, Committee Member
Sean Hallgren, Special Member

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

Open Access

Author:: Paulson, Elisabeth C
Title:: A Reformulation of the CSSR Algorithm and Application to Optimal Deception Strategy in Two Player Games
Graduate Program:: Mathematics
Keywords:: hidden markov models
probabilistic finite-state machine
deception strategy
game theory
File:: Download ECP-Dissertation.pdf
Committee Members:: Christopher Griffin, Thesis Advisor/Co-Advisor

Open Access

Open Access

Author:: Zelenberg, Aleksey
Title:: Rokhlin Dimension for C*-correspondences
Graduate Program:: Mathematics
Keywords:: nuclear dimension
Pimsner algebra
Rokhlin dimension
crossed product
File:: Download Aleksey_Zelenberg_Thesis.pdf
Committee Members:: Nathanial Patrick Brown, Dissertation Advisor/Co-Advisor
Nathanial Patrick Brown, Committee Chair/Co-Chair
Nigel David Higson, Committee Member
John Roe, Committee Member
Martin Bojowald, Special Member

Open Access

Author:: Yelton, Jeffrey Samuel
Title:: Hyperelliptic Jacobians and their associated $\ell$-adic Galois representations
Graduate Program:: Mathematics
Keywords:: abelian variety
elliptic curve
Galois theory
File:: Download thesis.pdf
Committee Members:: Yuri Zarhin, Dissertation Advisor/Co-Advisor
Mihran Papikian, Committee Member
Wen Ching Li, Committee Member
Donald Richards, Special Member

Open Access

Author:: Yang, Kai
Title:: Stable discretization and robust preconditioning for fluid-structure interaction
Graduate Program:: Mathematics
Keywords:: fluid-structure interaction
poroelasticity
block preconditioner
File:: Download KaiYang-Dissertation_final.pdf
Committee Members:: Jinchao Xu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Anna L Mazzucato, Committee Member
Chun Liu, Committee Member
Padma Raghavan, Committee Member

Open Access

Author:: Qiao, Changhe
Title:: GENERAL PURPOSE COMPOSITIONAL SIMULATION FOR MULTIPHASE REACTIVE FLOW WITH A FAST LINEAR SOLVER
Graduate Program:: Mathematics
Keywords:: PennSim
FASP
compositional simulation
reservoir simulation
reactive transport
File:: Download ChangheQiao-Dissertation.pdf
Committee Members:: Jinchao Xu, Dissertation Advisor/Co-Advisor
Russell Taylor Johns, Dissertation Advisor/Co-Advisor
Li Li, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Chun Liu, Committee Member

Open Access

Author:: Wasson, Ryan Douglas
Title:: Data Compression and Fractal Dimension for Measures
Graduate Program:: Mathematics
Keywords:: Kolmogorov complexity
Lempel-Ziv
fractal dimension
Hausdorff dimension
information dimension
multifractal spectrum
File:: Download wasson_thesis_updated.pdf
Committee Members:: Jan Severin Reimann, Thesis Advisor/Co-Advisor

Open Access

Author:: Peng, Guangzhong
Title:: Quantization of affine coadjoint orbits
Graduate Program:: Mathematics
Keywords:: K-homology
quantization
loop group
File:: Download GuangzhongPeng-Dissertation5-1207.pdf
Committee Members:: Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Chair/Co-Chair
Ping Xu, Committee Member
Abhay Vasant Ashtekar, Special Member

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