Wave Propagation Speed on Fractals

Sze-Man Ngai

Wave Propagation Speed on Fractals

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

<p> We study the wave propagation speed problem on fractals that are not post-critically &filig;nite. We extend Y. T. Lee’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 language	American English
State	Published - Mar 19 2016
Event	Spring Eastern Sectional Meeting of the American Mathematical Society (AMS) - Duration: Mar 19 2016 → …

Conference

Conference	Spring Eastern Sectional Meeting of the American Mathematical Society (AMS)
Period	03/19/16 → …

Disciplines

Mathematics
Physical Sciences and Mathematics

Keywords

Fractals
Wave propagation speed

Access to Document

http://www.ams.org/amsmtgs/2234_abstracts/1118-28-79.pdf

Cite this

@conference{852ef338828b4e28a0304f6854d1b078,

title = "Wave Propagation Speed on Fractals",

abstract = " We study the wave propagation speed problem on fractals that are not post-critically &filig;nite. We extend Y. T. Lee’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.",

keywords = "Fractals, Wave propagation speed",

author = "Sze-Man Ngai",

year = "2016",

month = mar,

day = "19",

language = "American English",

note = "Spring Eastern Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 19-03-2016",

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TY - CONF

T1 - Wave Propagation Speed on Fractals

AU - Ngai, Sze-Man

PY - 2016/3/19

Y1 - 2016/3/19

N2 - We study the wave propagation speed problem on fractals that are not post-critically &filig;nite. We extend Y. T. Lee’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.

AB - We study the wave propagation speed problem on fractals that are not post-critically &filig;nite. We extend Y. T. Lee’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.

KW - Fractals

KW - Wave propagation speed

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/16

UR - http://www.ams.org/amsmtgs/2234_abstracts/1118-28-79.pdf

M3 - Presentation

T2 - Spring Eastern Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 19 March 2016

ER -

Wave Propagation Speed on Fractals

Abstract

Conference

Disciplines

Keywords

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