Now showing items 123-142 of 152

    • Separating Invariants 

      Dufresne, Emilie (2008-09-04)
      Roughly speaking, a separating algebra is a subalgebra of the ring of invariants whose elements distinguish between any two orbits that can be distinguished using invariants. In this thesis, we introduce the notion of a ...
    • Sheaves of Phi-Principal Parts 

      Smirnov, Ilia
      This thesis studies sheaves of phi-principal parts, a modification of the well-known sequence of sheaves of principal parts. In Chapter 1, we construct the sheaves of phi-principal-parts, and undertake their general study. ...
    • Short-time asymptotics of heat kernels of hypoelliptic Laplacians on Lie groups 

      Seguin, Caroline (2011-10-11)
      This thesis suggests an approach to compute the short-time behaviour of the hypoelliptic heat kernel corresponding to sub-Riemannian structures on unimodular Lie groups of type I, without previously holding a closed form ...
    • Simple mechanical control systems with constraints 

      Lewis, Andrew D. (IEEE, 2000)
      We apply some recently developed control theoretic techniques to the analysis of a class of mechanical systems with constraints. Certain simple aspects of the theory of affine connections play an important part in our ...
    • Smooth Complete Intersections with Positive-Definite Intersection Form 

      Smirnov, Ilia (2012-10-16)
      We classify the smooth complete intersections with positive-definite intersection form on their middle cohomology. There are two families. The first family are quadric hypersurfaces in P(4k+1) with k a positive integer. ...
    • Sobolev Gradient Flows and Image Processing 

      Calder, Jeffrey (2010-08-25)
      In this thesis we study Sobolev gradient flows for Perona-Malik style energy functionals and generalizations thereof. We begin with first order isotropic flows which are shown to be regularizations of the heat equation. ...
    • Some Advances in the Multitaper Method of Spectrum Estimation 

      Lepage, Kyle (2009-02-09)
      Four contributions to the multitaper method of applied spectrum estimation are presented. These are a generalization of the multitaper method of spectrum estimation to time-series possessing irregularly spaced ...
    • Special values of L-series, periodic coefficients and related themes 

      Pathak, Siddhi
      This thesis is centered around the theme of special values of L-functions and other infinite series, which are often expected to be transcendental numbers. More specifically, we focus on the following two questions in ...
    • Stability of Agreement in State-dependent Interaction Environments 

      Condello, Alexander (2013-07-02)
      We study stochastic stability for a class of agreement dynamics and define two forms of agreement which we call stochastic agreement and stochastic absolute agreement. We identify conditions for a broad class of random, ...
    • Statistical Inference for the Treatment Effect in Cancer Clinical Trials 

      Jiang, Shan (2011-05-25)
      Randomized clinical trials provide the best evidence on the effect of treatment studied. There are different types of measures on the treatment effect, depending on the endpoints of the trials. For a given measure, based ...
    • Statistical Inferences of Two-Stage Phase II Cancer Clinical Trials with Two Co-primary Endpoints 

      Sun, Yiming
      In cancer research, two-stage designs are usually used to assess the effect of a new agent in phase II clinical trials. The optimal two-stage designs with two co-primary endpoints have been proposed to assess the effects ...
    • Statistical Methods For Biomarker Threshold Models in Clinical Trials 

      Gavanji, Parisa
      In clinical trials, the main objective is to investigate the treatment effects on patients. However, many molecularly targeted drugs or treatments tend to benefit a subset of patients more, identified by a certain biomarker. ...
    • Statistical Methods for Testing Treatment-Covariate Interactions in Cancer Clinical Trials 

      Liu, Shifang (2011-09-27)
      Treatment–covariate interaction is often used in clinical trials to assess the homogeneity of treatment effects over these subgroups defined by a baseline covariate, which is frequently conducted after primary analysis ...
    • Statistical Modeling and Analysis for Survival Data with a Cure Fraction 

      Xu, Jianfeng (2012-01-26)
      The analysis of survival data with a possible cure fraction has attracted much interest in the last two decades. Various models and estimating methods have been proposed for such data and they have been applied in many ...
    • Symmetric Gaussian Rearrangement with Applications to Gaussian Noise Stability 

      Baker, Graeme
      We introduce a new symmetric Gaussian rearrangement that applies to sets and functions which are invariant with respect to a given finite subgroup of the orthogonal group. The properties of this rearrangement are developed, ...
    • Symmetry Transforms, Global Plasma Equilibria and Homotopy Analysis Method 

      Awais, Muhammad (2010-08-25)
      Magnetohydrodynamics (MHD) flows and equations have been the focus of a large number of researchers. Here a study of such flows and equations is presented. The first chapter contains a brief introduction to Homotopy ...
    • The Tate Conjectures for Product and Quotient Varieties 

      Ejouamai, Rachid (2013-09-24)
      This thesis extends Tate’s conjectures from the smooth case to quotient varieties. It shows that two of those conjectures hold for quotient varieties if they hold for smooth projective varieties. We also consider arbitrary ...
    • Tilting objects in derived categories of equivariant sheaves 

      Brav, Christopher (2008-09-05)
      We construct classical tilting objects in derived categories of equivariant sheaves on quasi-projective varieties, which give equivalences with derived categories of modules over algebras. Our applications include a ...
    • Topics in Combinatorics and Random Matrix Theory 

      Novak, Jonathan (2009-09-27)
      Motivated by the longest increasing subsequence problem, we examine sundry topics at the interface of enumerative/algebraic combinatorics and random matrix theory. We begin with an expository account of the increasing ...
    • Topics related to vector bundles on abelian varieties 

      Grieve, Nathan (2013-06-25)
      This thesis is comprised of three logically independent parts. As the title suggests, each part is related to vector bundles on abelian varieties. We first use Brill-Noether theory to study the geometry of a general ...