Wave Propagation Speed on Fractals
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.
Spring Eastern Sectional Meeting of the American Mathematical Society (AMS)
Stony Brook, NY
"Wave Propagation Speed on Fractals."
Mathematical Sciences Faculty Presentations.