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Filtering by: Creator Holman, Chelsea L. Remove constraint Creator: Holman, Chelsea L. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics License All rights reserved Remove constraint License: All rights reserved

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  • 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:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.2 First Stage of construction L with 4 components

  • 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

  • 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:
    Lipschitz constant L if for x, y ∈ [0, 1], ∣∣φ(x)− φ(y)∣∣ ≤ L∣∣x− y∣∣. (2.7) Typically we understand the