Now showing items 119-138 of 158

    • Optimality of Walrand-Varaiya Type Policies and Approximation Results for Zero-Delay Coding of Markov Sources 

      Wood, Richard (2015-07-28)
      Optimal zero-delay coding of a finite state Markov source through quantization is considered. Building on previous literature, the existence and structure of optimal policies are studied using a stochastic control problem ...
    • Optimization Policies for Polya Contagion Networks 

      Harrington, Greg
      This thesis investigates optimization policies for resource distribution in network epidemics, using a model that derives from the classical Polya process. The basic mechanics of this model, called the network Polya process, ...
    • Pairwise Optimization of Modulation Constellations for Non-Uniform Sources 

      Moore, Brendan (2009-10-07)
      The design of two-dimensional signal constellations for the transmission of binary non-uniform memoryless sources over additive white Gaussian noise channels is investigated. The main application of this problem is the ...
    • Performance analysis of linear block codes over the queue-based channel 

      Al-Lawati, Haider (2007-08-29)
      Most coding schemes used in today's communication systems are designed for memoryless channels. These codes break down when they are transmitted over channels with memory, which is in fact what real-world channels look ...
    • Prime divisors of sparse values of cyclotomic polynomials and Wieferich primes 

      Murty, M. Ram; Séguin, François (2019-03-20)
      Bang (1886), Zsigmondy (1892) and Birkhoff and Vandiver (1904) initiated the study of the largest prime divisors of sequences of the form an−bn, denoted P(an−bn), by essentially proving that for integers a>b>0, P(an−bn)≥n+1 ...
    • Push-sum Algorithm on Time-varying Random Graphs 

      Rezaeinia, Pouya
      In this thesis, we study the problem of achieving average consensus over a random time-varying sequence of directed graphs by extending the class of so-called push- sum algorithms to such random scenarios. Provided that ...
    • Real Second-Order Freeness and Fluctuations of Random Matrices 

      Redelmeier, Catherine Emily Iska (2011-09-09)
      We introduce real second-order freeness in second-order noncommutative probability spaces. We demonstrate that under this definition, independent ensembles of the three real models of random matrices which we consider, ...
    • Reduction, linearization, and stability of relative equilibria for mechanical systems on Riemannian manifolds 

      Bullo, Francesco; Lewis, Andrew D. (2004)
      Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability ...
    • Reinforcement Learning for Decentralized Stochastic Control 

      Yongacoglu, Bora
      We consider decentralized optimization of a controlled stochastic system where a finite number of decision makers seek to arrive at optimal policies using only local measurements and cost realizations. For such a context, ...
    • Rigid body mechanics in Galilean spacetimes 

      bhand, Ajit; Lewis, Andrew D. (2004)
      An observer-independent formulation of rigid body dynamics is provided in the general setting of a Galilean spacetime. The equations governing the motion of a rigid body undergoing a rigid motion in a Galilean spacetime ...
    • 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 ...