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  • Localized Structures in a Diffusive Run-and-Tumble Model of Myxococcus xanthus

    Creator:
    Flynn, Patrick Thomas
    Abstract:
    The bacteria Myxococcus xanthus clusters into fruiting bodies in the absence of food. The movement of M. xanthus has three aspects: self-propulsion (run), change of direction due to collision (tumble), and Brownian fluctuations in movement. We propose a minimalist PDE model for the concentrations of left and right moving agents...
    Resource Type:
    Honors College Thesis
    Full Text:
    , representing Mathematics (University of Minnesota) Radu Dascaliuc, Committee Member, representing Mathematics

  • Persistence of Populations in Environments with an Interface

    Creator:
    Rekow, James A.
    Abstract:
    We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...
    Resource Type:
    Masters Thesis
    Full Text:
    , and encouragement over the last several years. I’d also like to thank my committee members Radu

  • Characterization of binary trees

    Creator:
    Brandstetter, Griffin
    Abstract:
    In "Level Number Sequences for Trees" Flagotet and Prodinger investigate the problem of counting the number of level number sequences associated to binary trees of $n$ binary nodes. I convert this problem into terms of exterior nodes or "leaves" and leaf number sequences. "Polynomial representation" is then defined to address...
    Resource Type:
    Honors College Thesis
    Full Text:
    on June 01, 2023. APPROVED: Enrique Thomann, Mentor, representing Mathematics Radu Dascaliuc

  • Predicting the most likely state for a basic geophysical flow : theoretical framework

    Creator:
    Duran, Rodrigo
    Abstract:
    Statistical mechanics studies the probability that a system is in a certain state given one or more constraints which are usually fixed conserved quantities. It is a particularly useful and powerful approach for problems with a large number of degrees of freedom where a complete knowledge of the system is...
    Resource Type:
    Capstone Project
    Full Text:
    . Nathan L. Gibson and Dr. Radu Dascaliuc Department of Mathematics Oregon State University Kidder Hall

  • Arithmetic dynamical questions with local rationality conditions

    Creator:
    Noytaptim, Chatchai
    Abstract:
    We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
    Resource Type:
    Dissertation

  • Stability Analysis of Coupled Discrete Time Systems On an Invariant Cone

    Creator:
    Fletcher, Sally
    Abstract:
    This paper concerns a question that frequently occurs in various applications: Is any dispersal coupling of stable discrete linear systems, also stable? Although it has been known this is not the case, we shall identify a reasonably diverse class of systems for which it is true. We shall employ the...
    Resource Type:
    Masters Thesis

  • Coastal ocean variability inferred from high resolution models : two case studies

    Creator:
    Mauch, Matthew L.
    Abstract:
    In this thesis, high resolution ocean models are used to evaluate and forecast coastal ocean variability in two different applications. In the first study, the 2-km resolution ocean circulation model for the Eastern Bering Sea is utilized to understand whether slope-interior exchange along the path of the Aleutian North Slope...
    Resource Type:
    Masters Thesis

  • On existence and uniqueness of weak solutions to the Navier-Stokes equations in R3

    Creator:
    Peterson, Samuel H.
    Abstract:
    This thesis is on the existence and uniqueness of weak solutions to the Navier-Stokes equations in R3 which govern the velocity of incompressible fluid with viscosity ν. The solution is obtained in the space of tempered distributions on R3 given an initial condition and forcing data which are dominated by...
    Resource Type:
    Masters Thesis

  • An inner product on adelic measures

    Creator:
    Oberly, Peter J.
    Abstract:
    We define an inner product on a vector space of adelic measures over a number field $K$. We find that the norm induced by this inner product governs weak convergence at each place of $K$. The canonical adelic measure associated to a rational map is in this vector space, and...
    Resource Type:
    Dissertation
    Full Text:
    this dissertation. I wish to express sincere appreciation to Radu Dascaliuc, Thinh Nguyen, Thomas A

  • On Invariant Galton-Watson Trees with Exponential Edge Lengths

    Creator:
    Xu, Guochen
    Resource Type:
    Dissertation
    Full Text:
    Professors Enrique Thomann, Elaine Cozzi, Radu Dascaliuc, and Lan Xue for being on my defense committee, and