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  • Aggregate Path Coupling for the Generalized Curie-Weiss Model

    Creator:
    Barbosa, Bruno
    Abstract:
    The topic of statistical mechanics has been studied for over a century, and it is one of the pillars of modern physics. This theory can be applied to the study of the thermodynamic behavior of large systems of interacting particles, in which case it is referred to as equilibrium statistical...
    Resource Type:
    Dissertation
    Full Text:
    Radu Dascaliuc, Michael Rosulek, Enrique Thomann, and Ed Waymire for their time and dedication while

  • On the Existence of Solutions to the Incompressible Navier-Stokes Equations with Constant Energy and Enstrophy

    Creator:
    Hagen, Sarah S.
    Abstract:
    In this dissertation, we use Fourier-analytic and spectral theory methods to analyze the behavior of solutions of the incompressible Navier-Stokes equations in 2D and 3D (with an eye towards better understanding turbulence). In particular, we investigate the possible existence of so-called ghost solutions to the Navier-Stokes Equations. Such solutions, if...
    Resource Type:
    Dissertation
    Full Text:
    have been investigated in several recent papers in this area. c©Copyright by Sarah Hagen July 28

  • Fourier Analysis and Equidistribution on the p-adic Integers

    Creator:
    Somasunderam, Naveen
    Abstract:
    In this dissertation, we use Fourier-analytic methods to study questions of equidistribution on the compact abelian group Zp of p-adic integers. In particu- lar, we prove a LeVeque-type Fourier analytic upper bound on the discrepancy of sequences. We establish p-adic analogues of the classical Dirichlet and Fejér kernels on R/Z,...
    Resource Type:
    Dissertation
    Full Text:
    on Zp due to Beer and Taibleson. We also prove a p-adic Fourier analytic Koksma inequality. c

  • Ruin Problems with Risky Investments

    Creator:
    Loke, Sooie-Hoe
    Abstract:
    In this dissertation, we study two risk models. First, we consider the dual risk process which models the surplus of a company that incurs expenses at a constant rate and earns random positive gains at random times. When the surplus is invested in a risky asset following a geometric Brownian...
    Resource Type:
    Dissertation
    Full Text:
    settlement of claims does not reduce the probability of ruin when the volatility is large. c©Copyright by

  • The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

    Creator:
    Kim, HoeWoon
    Abstract:
    The flow of incompressible, viscous fluids in R³ is governed by the non-linear Navier-Stokes equations. Two common linearizations of the Navier-Stokes equations, the Stokes equations and the Oseen equations, are studied in this thesis using probabilistic methods. The incompressibility condition presents new challenges for the well known theory relating partial...
    Resource Type:
    Dissertation
    Full Text:
    half space. c©Copyright by HoeWoon Kim December 2, 2010 All Rights Reserved The Stokes Problem

  • Large deviation principles for random measures

    Creator:
    Hwang, Dae-sik
    Abstract:
    Large deviation theory has experienced much development and interest in the last two decades. A large deviation principle is the exponential decay of the probability of increasingly rare events and the computation of a rate or entropy function which measures the rate of decay. Within the probability literature there has...
    Resource Type:
    Dissertation

  • The Effect of Temperature on the Survival of Chinook Eggs and Fry

    Creator:
    Teose, Maarika
    Abstract:
    Temperature data from above and below the Cougar Dam collected by the U.S. Geological Survey prior to the construction of the temperature control structure was analyzed to determine how the di®ering temperature regimes a®ect the growth and survival of threatened spring- run Chinook salmon. An ARIMA time-series model was used...
    Resource Type:
    Honors College Thesis
    Full Text:
    Survival of Chinook Eggs and Fry. Abstract Approved: Edward Waymire Vrushali Bokil ABSTRACT

  • Towards an analytical model for carbon storage in forested landscapes

    Creator:
    Ngo, Nam V.
    Abstract:
    An analytical model is developed to address the question of how different disturbance regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five pools based on the processes from which they are derived and based on their temporal dynamics. Formulae...
    Resource Type:
    Masters Thesis
    Full Text:
    (#0333257). Special thanks go to Professor Edward C. Waymire and Professor Thomas E. McLain for serving on

  • Virtual Element Methods for Magnetohydrodynamics on General Polygonal and Polyhedral Meshes

    Creator:
    Naranjo, Sebastián
    Abstract:
    The aim of this dissertation is to construct a virtual element method (VEM) for models in magneto-hydrodynamics (MHD), an area that studies the behavior and properties of electrically conducting fluids such as a plasma. MHD models are a coupling of the Maxwell’s equations for electromagnetics and models for fluid flow....
    Resource Type:
    Dissertation
    Full Text:
    well as the members of my committee Dr. Vitaliy Gyrya, Dr. Edward Waymire, Dr. Adel Faridani, Dr

  • Generalized modal analysis of electromagnetic- and quantum-waveguide structures and discontinuities

    Creator:
    Weisshaar, Andreas
    Abstract:
    Generalized modal analysis techniques for the characterization and modeling of dissipationless planar waveguide structures and discontinuities encountered in microwave and optical integrated circuits, as well as of quantum waveguide structures and devices, are presented. The frequency-dependent transmission properties of the curved microstrip bend are derived by utilizing a second-order perturbation...
    Resource Type:
    Dissertation
    Full Text:
    . Rudolf Engelbrecht, Vijai Tripathi, Stephen Goodnick, Edward Waymire, Joel Davis, and Henri Jansen, for