Now showing items 53-72 of 152

    • The geometry of the maximum principle for affine connection control systems 

      Lewis, Andrew D. (2000)
      The maximum principle of Pontryagin is applied to systems where the drift vector field is the geodesic spray corresponding to an affine connection. The result is a second-order differential equation whose right-hand side ...
    • Global Fluctuations of Random Matrices and the Second-Order Cauchy Transform 

      Diaz Torres, Mario
      In this thesis we study the global fluctuations of random matrices (i.e., the covariance of two traces) from a second-order free probability perspective, putting a particular emphasis on block Gaussian matrices. Our main ...
    • Group structures in a class of control systems 

      Lewis, Andrew D. (1992)
      We investigate two classes of control systems, one of Brockett and one of Murray and Sastry. We are able to show that these two systems may be formulated in the language of principle fibre bundles. Controllability of ...
    • Hall conditions for edge-weighted bipartite graphs 

      Gregory, David (2010-07-28)
      A weighted variant of Hall's condition for the existence of matchings is shown to be equivalent to the existence of a matching in a lexicographic product. This is used to introduce characterizations of those bipartite ...
    • Hamiltonian Systems of Hydrodynamic Type 

      Reynolds, A. Patrick (2010-12-23)
      We study the Hamiltonian structure of an important class of nonlinear partial differential equations: the so-called systems of hydrodynamic type, which are first-order in tempo-spatial variables, and quasi-linear. Chapters ...
    • High-order variations for families of vector fields 

      Hirschorn, Ron M.; Lewis, Andrew D. (2002)
      Sufficient conditions involving Lie brackets of arbitrarily high-order are obtained for local controllability of families of vector fields. After providing a general framework for the generation of high-order ...
    • High-Q Spectral Peaks and Nonstationarity in the Deep Ocean Infragravity Wave Band: Tidal Harmonics and Solar Normal Modes 

      Chave, Alan D.; Luther, Douglas S.; Thomson, David J. (Wiley, 2019-02-20)
      Infragravity waves have received the least study of any class of waves in the deep ocean. This paper analyzes a 389-day-long deep ocean pressure record from the Hawaii Ocean Mixing Experiment for the presence of narrowband ...
    • Higher rank sieves and applications 

      Vatwani, Akshaa (2016-04-25)
      This thesis focuses on some of the key sieve theoretic ideas behind recent progress on bounded gaps between the primes. One such idea is the notion of higher rank sieve weights, first proposed by Atle Selberg and applied ...
    • Homoclinic Points in the Composition of Two Reflections 

      Jensen, Erik (2013-09-17)
      We examine a class of planar area preserving mappings and give a geometric condition that guarantees the existence of homoclinic points. To be more precise, let $f,g:R \to R$ be $C^1$ functions with domain all of $R$. ...
    • Hybrid Digital-Analog Source-Channel Coding and Information Hiding: Information-Theoretic Perspectives 

      Wang, Yadong (2007-10-02)
      Joint source-channel coding (JSCC) has been acknowledged to have superior performance over separate source-channel coding in terms of coding efficiency, delay and complexity. In the first part of this thesis, we study ...
    • An impulsive differential equation model for Marek's disease 

      Rozins, Carly (2016-09-22)
      Many dynamical processes are subject to abrupt changes in state. Often these perturbations can be periodic and of short duration relative to the evolving process. These types of phenomena are described well by what are ...
    • Inclusive Fitness on Evolutionary Graphs 

      Maciejewski, Wesley (2012-10-04)
      The evolution of cooperative behaviours has received a large amount of attention in the literature. A recurrent result is that a spatial population structure often aids the evolution of cooperation. One such possible ...
    • Information and Estimation Theoretic Approaches to Data Privacy 

      Asoodeh, Shahab
      Warner [145] in 1960s proposed a simple mechanism, now referred to as the randomized response model, as a remedy for what he termed “evasive answer bias” in survey sampling. The randomized response setting is as follows: ...
    • Instability of Periodic Orbits of Some Rhombus and Parallelogram Four Body Problems 

      Mansur, Abdalla (2012-11-27)
      The rhombus and parallelogram orbits are interesting families of periodic solutions, which come from celestial mechanics and the N-body problem. Variational methods with finite order symmetry group are used to construct ...
    • Invariants of Modular Two-Row Groups 

      Wu, Yinglin (2009-10-06)
      It is known that the ring of invariants of any two-row group is Cohen-Macaulay. This result inspired the conjecture that the ring of invariants of any two-row group is a complete intersection. In this thesis, we study ...
    • Irreducibility of Random Hilbert Schemes 

      Staal, Andrew P. (2016-09-13)
      We prove that a random Hilbert scheme that parametrizes the closed subschemes with a fixed Hilbert polynomial in some projective space is irreducible and nonsingular with probability greater than $0.5$. To consider the ...
    • Jacobian linearisation in a geometric setting 

      Lewis, Andrew D.; Tyner, David R. (IEEE, 2003)
      Linearisation is a common technique in control applications, putting useful analysis and design methodologies at the disposal of the control engineer. In this paper, linearisation is studied from a differential ...
    • Joint Modelling of Longitudinal Quality of Life Measurements and Survival Data in Cancer Clinical Trials 

      Song, Hui (2013-01-23)
      In cancer clinical trials, longitudinal Quality of Life (QoL) measurements on a patient may be analyzed by classical linear mixed models but some patients may drop out of study due to recurrence or death, which causes ...
    • Joint Source-Channel Coding Reliability Function for Single and Multi-Terminal Communication Systems 

      Zhong, Yangfan (2008-05-15)
      Traditionally, source coding (data compression) and channel coding (error protection) are performed separately and sequentially, resulting in what we call a tandem (separate) coding system. In practical implementations, ...
    • Kinematic controllability and motion planning for the snakeboard 

      Bullo, Francesco; Lewis, Andrew D. (IEEE, 2003)
      The snakeboard is shown to be kinematically controllable. Associated with the two decoupling vector fields for the problem, a constrained static nonlinear programming problem is posed whose solutions provide a solution to ...