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Filtering by: Creator Holman, Chelsea L. Remove constraint Creator: Holman, Chelsea L. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Committee Member Burton, Bob Remove constraint Committee Member: Burton, Bob

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  • 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