David Miller

  1. Spectrum and Heat Kernel Asymptotics on General Laakso Spaces.

    Authors: Benjamin Steinhurst, Matthew Begue, Levi DeValve, David Miller
    Subjects: Classical Analysis and ODEs
    Abstract

    We introduce a method of constructing a general Laakso space while
    calculating the spectrum and multiplicities of the Laplacian operator on it.
    Using this information, we found the leading term of the trace of the heat
    kernel of a Laakso space and its spectral dimension.

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