Spectral Asymptotics of One-Dimensional Fractal Laplacians in the Absence of Second-Order Identities

Research output: Contribution to conferencePresentation

Abstract

<p> We observe that some self-similar measures de&filig;ned by &filig;nite or in&filig;nite iterated function systems with overlaps satisfy certain &ldquo;bounded measure type condition&rdquo;, which allows us to extract useful measure-theoretic properties of iterates of the measure. We develop a technique to obtain a closed formula for the spectral dimension of the Laplacian de&filig;ned by self-similar measures satisfying this condition.</p>
Original languageAmerican English
StatePublished - Dec 26 2016
EventTsinghua Sanya Mathematics Forum: Analysis on Fractals and Graphs Workshop -
Duration: Dec 26 2016 → …

Conference

ConferenceTsinghua Sanya Mathematics Forum: Analysis on Fractals and Graphs Workshop
Period12/26/16 → …

Keywords

  • Asymptotics
  • Laplacians
  • One-dimensional fractal laplacians
  • Second-ord identities

DC Disciplines

  • Mathematics
  • Physical Sciences and Mathematics

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