Mathematical Sciences: Faculty Presentations (1991-2022)

Wave Propagation Speed on Fractals

Document Type

Presentation

Presentation Date

3-19-2016

Copyright

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Abstract or Description

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.

Sponsorship/Conference/Institution

Spring Eastern Sectional Meeting of the American Mathematical Society (AMS)

Location

Stony Brook, NY

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