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  • Some tree structure function asymptotics

    Creator:
    Zhang, Qing
    Abstract:
    We consider some mathematical problems involving the asymptotic analysis of rooted tree structures. River channel networks, patterns of electric discharge, eletrochemical deposition and botanical trees themselves are examples of such naturally occuring structures. In this thesis we will study the width function aymptotics of some random trees as well as...
    Resource Type:
    Dissertation

  • Branching random walk and probability problems from physics and biology

    Creator:
    Johnson, Torrey
    Abstract:
    This thesis studies connections between disorder type in tree polymers and the branching random walk and presents an application to swarm site-selection. Chapter two extends results on tree polymers in the infinite volume limit to critical strong disorder. Almost sure (a.s.) convergence in the infinite volume limit is obtained for...
    Resource Type:
    Dissertation
    Full Text:
    degree of Doctor of Philosophy in Mathematics presented on June 7, 2012. Title: Branching Random Walk

  • Limiting Behavior of Stochastic Processes Involving Martingale Structures

    Creator:
    Mukherjee, Arpita
    Abstract:
    A stochastic process is given by a family of random variables indexed by elements of a set. We have considered stochastic processes of three different types, each involving an associated martingale structure. Martingale is a sequence of random variables for which the conditional expectation at a certain time point given...
    Resource Type:
    Dissertation
    Full Text:
    stochastic process is given by a family of random variables indexed by elements of a set. We have considered

  • Monte Carlo random walk simulation as a complement to experimental and theoretical approaches : application to mass transfer in fish muscle tissue

    Creator:
    Almonacid-Merino, Sergio Felipe
    Abstract:
    Mass transfer processes in food systems, such as solute infusion, are poorly understood because of their complex nature. Food systems contain porous matrices and a variety of continuous phases within cellular tissues. Mass transfer processes are generally not pure diffusion: often convection, binding and obstructing diffusion will occur. Monte Carlo...
    Resource Type:
    Dissertation
    Full Text:
    Carlo Random Walk Simulation as a Complement to Experimental and Theoretical Approaches: Application to