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  • Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow

    Creator:
    Ramirez, Jorge M.
    Abstract:
    This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics. In the first manuscript, one dimensional diffusion and Burgers equation are considered. The Fourier transform of the solution to each PDE is represented as the expected...
    Resource Type:
    Dissertation
    Full Text:
    stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical

  • Identification of stochastic systems with random parameters with particular reference to the recirculating lymphocytes in the immune system

    Creator:
    Farooqi, Zarreen H. H.
    Abstract:
    This thesis is composed of four parts: i) system description, ii) model development, iii) parameter estimation, and iv) validation. The natural system used here is an aspect of the immune system, namely, the distribution of recirculating lymphocytes in various organs throughout the body. This distribution gains importance because: i) it...
    Resource Type:
    Dissertation
    Full Text:
    2.3.4 Nonlinear Model 56 CHAPTER 3 THE DISCRETE-TIME AND CONTINUOUS-TIME STOCHASTIC MODELS: THEIR

  • The Mathematics of Critical Shifts in Ecological Networks with Alternative Stable State Theory, A Potential Framework for Early Warning Indicators

    Creator:
    Kupperman, Michael D.
    Abstract:
    A long running problem in mathematical biology is the prediction of extinction events, a specialized case of the larger global stability problem found in differential equations and dynamical systems theory. A central technical question is how to introduce the randomness observed in real ecological systems not accounted for in deterministic...
    Resource Type:
    Honors College Thesis
    Full Text:
    : Mathematical Biology, Probability and Simulation, Stochastic Parameters, Applied Random Dynamical Systems

  • Mixing time for a 3-cycle interacting particle system : a coupling approach

    Creator:
    Eves, Matthew Jasper
    Abstract:
    This thesis examines the mixing times for one-dimensional interacting particle systems. We use the coupling method to study the mixing rates for particle systems on the circle which move according to specific permutations e.g., transpositions and 3-cycles.
    Resource Type:
    Masters Thesis
    Full Text:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.1. One Particle Model

  • Concept coverage and its application to two learning tasks

    Creator:
    Almuallim, Hussein Saleh
    Abstract:
    The coverage of a learning algorithm is the number of concepts that can be learned by that algorithm from samples of a given size for given accuracy and confidence parameters. This thesis begins by asking whether good learning algorithms can be designed by maximizing their coverage. There are three questions...
    Resource Type:
    Dissertation
    Full Text:
    the Math department for verifying some of my mathematical proofs. Special thanks are due to Dr

  • Strategies for process flowsheeting

    Creator:
    Sanz, Carlos C.
    Abstract:
    Two packages of subroutines were developed to perform material balances on chemical processes using the simultaneous modular approach and the equation-based approach. The performances of these packages were compared for five different processes under at least two conditions: one with no design specifications, and one with two or more design...
    Resource Type:
    Masters Thesis
    Full Text:
    . Given a process, it is easy to build a computer model of the entire process using 10-20 different

  • Stochastic geometry with applications to river networks

    Creator:
    Peckham, Scott
    Abstract:
    Empirical observations have established connections between river network geometry and various hydrophysical quantities of interest. Since rivers can be decomposed into basic components known as links, one would like to understand the physical processes at work in link formation and maintenance. The author develops a natural stochastic geometric model for...
    Resource Type:
    Masters Thesis

  • A multiple criteria Markovian Decision Process

    Creator:
    Sohn, Sangwon
    Abstract:
    A composite system of a Markovian Decision Process with multiple criteria involves both discounting criteria and nondiscounting criteria. The measurement of the discounting criteria is chosen to be the total sum of the payoffs over the time horizon and the measurement of the non-discounting criteria is chosen to be the...
    Resource Type:
    Dissertation
    Full Text:
    AND SCOPE OF THE STUDY . III. A MODEL FOR MULTIPLE CRITERIA MARKOVIAN DECISION PROCESS 10 IV

  • A hazardous-inspection model with costly repair

    Creator:
    Yang, Minghui
    Abstract:
    An inspection-repair model is developed that presumes inspection is hazardous to the system being inspected. The form of the optimal inspection-repair policy is determined for different ranges of the model's parameters. The model is formulated as a partially observable Markov decision process with finite numbers of states and actions. The...
    Resource Type:
    Dissertation
    Full Text:
    A hazardous-inspection model with costly repair AN

  • Automated feature extraction for orientation and slicing in microlamination

    Creator:
    Ariastuti, Retna
    Abstract:
    The research is about developing a computerized design system for microtechnology-based energy, and chemical systems (MECS). MECS devices are a part of microfabrication, which primarily focuses on taking advantage of the extremely high rates of heat and mass transfer available in microstructures. It typically consists of intricate arrays of components...
    Resource Type:
    Dissertation
    Full Text:
    assembled together. Slicing the model into sufficiently thin layers convert the intricate array of