Wave Propagation Speed on Fractals

Research output: Contribution to conferencePresentation

Abstract

<p> We study the wave propagation speed problem on fractals that are not post-critically &filig;nite. We extend Y. T. Lee&rsquo;s result on in&filig;nite propagation speed to include these fractals. We also obtained a su&ffilig;cient condition for &filig;nite wave propagation speed that depends on the self-similar measure. Heat kernel estimates play a crucial role in these investigations. We apply our results to the classical in&filig;nite Bernoulli convolutions and other fractals. This is a joint work with Wei Tang and Yuanyuan Xie.</p>
Original languageAmerican English
StatePublished - Jun 3 2016
EventZhejiang University Workshop on Theory of Fractals and Related Topics -
Duration: Jun 3 2016 → …

Conference

ConferenceZhejiang University Workshop on Theory of Fractals and Related Topics
Period06/3/16 → …

Keywords

  • Fractals
  • Wave propagation speed

DC Disciplines

  • Mathematics
  • Physical Sciences and Mathematics

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