MATH 297: | ![]() |
Published papers:
Neil Bajorin, Tao Chen, Alon Dagan, Catherine Emmons, Mona Hussein, Michael Khalil, Poorak Mody, Benjamin Steinhurst, Alexander Teplyaev
Vibration modes of 3n-gaskets and other fractals
J. Phys. A: Math. Theor. 41 (2008) 015101 (21pp). pdf file
Vibration Spectra of Finitely Ramified, Symmetric Fractals
Fractals 16 (2008), 243--258. pdf file
project web page
older preprint
in the
Isaac Newton Institute Preprint Series
Mathematica notebooks for the project
More info and other projects:
Fractals web page
Textbook |
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Differential Equations on Fractals: A Tutorial by Robert Strichartz Publisher: Princeton University Press ISBN: 069112731X | ![]() |
Course description |
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There will be a choice of projects of various types and difficulty, which can
be purely theoretical or involve computers. The course itself will be
organized to provide background for the chosen projects. The exact format will
be determined with the input of the participants. When this course was offered before, the
projects resulted in two papers with students as co-authors:
http://www.math.uconn.edu/~teplyaev/research/Ngasket.pdf
http://www.math.uconn.edu/~teplyaev/research/randomSG.pdf
Taking part in a research project like this may be very useful in the future (for instance, when applying to graduate schools). The course satisfies departmental requirements for the math major and minor.