Welcome to the Faculty of Mathematics community.

This community and it’s collections are organized using the University of Waterloo's Faculties and Academics structure. In this structure:

  • Communities are Faculties or Affiliated Institutions
  • Collections are Departments or Research Centres

Research outputs are organized by type (eg. Master Thesis, Article, Conference Paper).

New collections following this structure will be created UPON REQUEST .

Collections in this community

Recent deposits

  • Stability and Well-posedness of a Nonlinear Railway Track Model 

    Edalatzadeh, M. Sajjad; Morris, Kirsten (Institute of Electrical and Electronics Engineers, 2018-06-22)
    Railway tracks rest on a foundation known for exhibiting nonlinear viscoelastic behavior. Railway track deflections are modeled by a semilinear partial differential equation. This paper studies the stability of solutions ...
  • On Skin Cyanotic Appearances and Spectral Responses Elicited by Methemoglobinemia and Sulfhemoglobinemia 

    Askew, Stephen (University of Waterloo, 2018-07-13)
    Methemoglobinemia and sulfhemoglobinemia are potentially life-threatening blood disorders characterized by similar symptoms and markedly distinct treatment procedures. In this thesis, we investigate the causal relationship ...
  • Hilbert space operators with compatible off-diagonal corners 

    Livshits, Leo; MacDonald, Gordon; Marcoux, Laurent W.; Radjavi, Heydar (Elsevier, 2018-08-15)
    Given a complex, separable Hilbert space H, we characterize those operators for which ‖PT(I−P)‖=‖(I−P)TP‖ for all orthogonal projections P on H. When H is finite-dimensional, we also obtain a complete characterization of ...
  • Weak Moment Maps in Multisymplectic Geometry 

    Herman, Jonathan (University of Waterloo, 2018-07-04)
    We introduce the notion of a weak (homotopy) moment map associated to a Lie group action on a multisymplectic manifold. We show that the existence/uniqueness theory governing these maps is a direct generalization from ...
  • Shortest Paths in Geometric Intersection Graphs 

    Skrepetos, Dimitrios (University of Waterloo, 2018-06-29)
    This thesis studies shortest paths in geometric intersection graphs, which can model, among others, ad-hoc communication and transportation networks. First, we consider two classical problems in the field of algorithms, ...
  • The effects of dielectric decrement and finite ion size on differential capacitance of electrolytically gated graphene 

    Daniels, Lindsey; Scott, Matthew; Mišković, Zoran L. (Elsevier, 2018-06-01)
    We analyze the effects of dielectric decrement and finite ion size in an aqueous electrolyte on the capacitance of a graphene electrode, and make comparisons with the effects of dielectric saturation combined with finite ...
  • Spectral properties of tensor products of channels 

    Jaques, Samuel; Rahaman, Mizanur (Elsevier, 2018-09-15)
    We investigate spectral properties of the tensor products of two completely positive and trace preserving linear maps (also known as quantum channels) acting on matrix algebras. This leads to an important question of when ...
  • Estimation and prediction methods for univariate and bivariate cyclic longitudinal data using a semiparametric stochastic mixed effects model 

    Ji, Kexin (University of Waterloo, 2018-06-19)
    In this thesis, I propose and consider inference for a semiparametric stochastic mixed model for bivariate longitudinal data; and provide a prediction procedure of a future cycle utilizing past cycle information. This ...
  • Risk Management with Basis Risk 

    Zhang, Jingong (University of Waterloo, 2018-06-19)
    Basis risk occurs naturally in a variety of financial and actuarial applications, and it introduces additional complexity to the risk management problems. Current literature on quantifying and managing basis risk is still ...
  • Existence and uniqueness of weak homotopy moment maps 

    Herman, Jonathan (Elsevier, 2018-09-01)
    We show that the classical results on the existence and uniqueness of moment maps in symplectic geometry generalize directly to weak homotopy moment maps in multisymplectic geometry. In particular, we show that their ...
  • Semiparametric inference on the means of multiple nonnegative distributions with excess zero observations 

    Wang, Chunlin; Marriott, Paul; Li, Pengfei (Elsevier, 2018-07-01)
    A non-standard, but not uncommon, situation is to observe multiple samples of nonnegative data which have a high proportion of zeros. This is the so-called excess of zeros situation and this paper looks at the problem of ...
  • Preserving Measured Structure During Generation and Reduction of Multivariate Point Configurations 

    Rahman, Adam (University of Waterloo, 2018-05-30)
    Inherent in any multivariate data is structure, which describes the general shape and distribution of the underlying point configuration. While there are potentially many types of structure that could be of interest, ...
  • Towards Better Methods of Stereoscopic 3D Media Adjustment and Stylization 

    Istead, Lesley (University of Waterloo, 2018-05-30)
    Stereoscopic 3D (S3D) media is pervasive in film, photography and art. However, working with S3D media poses a number of interesting challenges arising from capture and editing. In this thesis we address several of these ...
  • Action of degenerate Bethe operators on representations of the symmetric group 

    Rahman, Sifat (University of Waterloo, 2018-05-24)
    Degenerate Bethe operators are elements defined by explicit sums in the center of the group algebra of the symmetric group. They are useful on account of their relation to the Gelfand-Zetlin algebra and the Young-Jucys-Murphy ...
  • Analytics for Everyone 

    El Gebaly, Kareem (University of Waterloo, 2018-05-23)
    Analyzing relational data typically involves tasks that facilitate gaining familiarity or insights and coming up with findings or conclusions based on the data. This process is usually practiced by data experts, such as ...
  • The Capacitated Matroid Median Problem 

    Kalhan, Sanchit (University of Waterloo, 2018-05-18)
    In this thesis, we study the capacitated generalization of the Matroid Median Problem which is a generalization of the classical clustering problem called the k-Median problem. In the capacitated matroid median problem, ...
  • Math Information Retrieval using a Text Search Engine 

    Dallas, Fraser (University of Waterloo, 2018-05-18)
    Combining text and mathematics when searching in a corpus with extensive mathematical notation remains an open problem. Recent results for math information retrieval systems on the math and text retrieval task at NTCIR-12, ...
  • FlexQueue: Simple and Efficient Priority Queue for System Software 

    Zhang, Yifan (University of Waterloo, 2018-05-18)
    Existing studies of priority queue implementations often focus on improving canonical operations such as insert and deleteMin, while sacrificing design simplicity and pre- dictable worst-case latency. Design simplicity is ...
  • A PAC-Theory of Clustering with Advice 

    Zokaei Ashtiani, Mohammad (University of Waterloo, 2018-05-17)
    In the absence of domain knowledge, clustering is usually an under-specified task. For any clustering application, one can choose among a variety of different clustering algorithms, along with different preprocessing ...
  • Spaun 2.0: Extending the World’s Largest Functional Brain Model 

    Choo, Feng-Xuan (University of Waterloo, 2018-05-17)
    Building large-scale brain models is one method used by theoretical neuroscientists to understand the way the human brain functions. Researchers typically use either a bottom-up approach, which focuses on the detailed ...

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