Alexander Teplyaev -- Research with undergraduate students

    office: MSB M222
    office hours: see my current course pages
    phone: (860)486-3206
    email: teplyaevmath.uconn.edu
    http://www.math.uconn.edu/~teplyaev

Fractals web page with applets that generate random Sierpinski gaskets and compute their Green's function, and with the computations of vibration modes of many fractals.

Reviews of my published papers are available at MathSciNet and Zentralblatt MATH. These cites often provide links to the full articles. If it is difficult to obtain a particular paper, please send me an e-mail message.

Publications with undergraduate students:

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

B. Boyle, K. Cekala, D. Ferrone, N. Rifkin and A. Teplyaev Electrical Resistance of N-gasket Fractal Networks. Pacific Journal of Mathematics 233 (2007), 15--40.
pdf file.

D. Fontaine, T. Smith and A. Teplyaev Resistance of random Sierpinski gaskets. Quantum Graphs and Their Applications, Contemporary Mathematics 415 (2006), AMS, Providence, RI.
pdf file The project web page is here.

R. Meyers, R. Strichartz and A. Teplyaev Dirichlet forms on the Sierpinski gasket. Pacific Journal of Mathematics 217 (2004), 149-174. pdf file

J. Needleman, R. Strichartz, A. Teplyaev and P.-L. YungCalculus on the Sierpinski gasket: polynomials exponentials and power series. Journal of Functional Analysis 215 (2004), 290--340. pdf files and from arXiv.org

E.J. Bird, S.-M. Ngai and A. Teplyaev Fractal Laplacians on the Unit Interval. Ann. Sci. Math. Quebec 27 (2003), 135--168. pdf file

B. Adams, S.A. Smith, R. Strichartz and A. Teplyaev The spectrum of the Laplacian on the pentagasket (with), Fractals in Graz 2001 -- Analysis -- Dynamics -- Geometry -- Stochastics, Trends Math., Birkhauser Basel (2003), 1--24. (pdf file)

J. Stanley,R. Strichartz and A. Teplyaev Energy partition on fractals. Indiana University Mathematics Journal 52 (2003), 133--156. pdf file

O. Ben-Bassat,R. Strichartz and A. Teplyaev What is not in the domain of the Laplacian on a Sierpinski gasket type fractal. Journal of Functional Analysis 166 (1999), 197--217. pdf file

Link to the list of all my publications

http://www.math.uconn.edu