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Filtering by: Creator McConnell, Chelsea A. Remove constraint Creator: McConnell, Chelsea A. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Decade 2010-2019 Remove constraint Decade: 2010-2019

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  • Efficient Finite Groups Arising in the Study of Relative Asphericity

    Creator:
    Bogley, William A. and Williams, Gerald
    Abstract:
    We study a class of two-generator two-relator groups, denoted J[subscript n](m, k), that arise in the study of relative asphericity as groups satisfying a transitional curvature condition. Particular instances of these groups occur in the literature as finite groups of intriguing orders. Here we find infinite families of non-elementary virtually...
    Resource Type:
    Article and Preprint
    Full Text:
    Relative Asphericity William A. Bogley · Gerald Williams Received: date / Accepted: date Abstract We

  • A thin codimension-one decomposition of the Hilbert Cube

    Creator:
    Phon-On, Aniruth
    Abstract:
    For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...
    Resource Type:
    Dissertation
    Full Text:
    Mathematics presented on April 29, 2010. Title: A Thin Codimension-one Decomposition of the Hilbert Cube

  • The Partition Function and Ramanujan Congruences

    Creator:
    Bucher, Eric
    Abstract:
    The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their seed in some keen observations of Ramanujan.In particular he discovered what are referred to as...
    Resource Type:
    Capstone Project
    Full Text:
    April 27, 2010 2 Chapter 1 Introduction The partition function, p(n), for a positive integer n

  • Notions of complexity in substitution dynamical systems

    Creator:
    Wing, David Josiah
    Abstract:
    There has been a lot of work done in recent decades in the field of symbolic dynamics. Much attention has been paid to the so-called "complexity" function, which gives a sense of the rate at which the number of words in the system grow. In this paper, we explore this...
    Resource Type:
    Dissertation
    Full Text:
    in Substitution Dynamical Systems Abstract approved: Robert M. Burton There has been a lot of work

  • Adiabatic and stable adiabatic times

    Creator:
    Bradford, Kyle B.
    Abstract:
    While the stability of time-homogeneous Markov chains have been extensively studied through the concept of mixing times, the stability of time-inhomogeneous Markov chains has not been studied as in depth. In this manuscript we will introduce special types of time-inhomogeneous Markov chains that are defined through an adiabatic transition. After...
    Resource Type:
    Dissertation
    Full Text:
    time- inhomogeneous Markov chains. To construct an adiabatic transition one needs to make a