Abstract
<p> We study the wave propagation speed problem on fractals that are not post-critically finite. We extend Y. T. Lee’s result on infinite propagation speed to include these fractals. We also obtained a sufficient condition for finite 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 infinite Bernoulli convolutions and other fractals. This is a joint work with Wei Tang and Yuanyuan Xie.</p>
Original language | American English |
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State | Published - Jun 3 2016 |
Event | Zhejiang University Workshop on Theory of Fractals and Related Topics - Duration: Jun 3 2016 → … |
Conference
Conference | Zhejiang University Workshop on Theory of Fractals and Related Topics |
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Period | 06/3/16 → … |
Keywords
- Fractals
- Wave propagation speed
DC Disciplines
- Mathematics
- Physical Sciences and Mathematics