preprints:

M.T. Barlow, R.F. Bass, T. Kumagai, and A. Teplyaev Uniqueness of Brownian motion on Sierpinski carpets, to appear in the JEMS
updated preprint (pdf file) or arXiv version http://arxiv.org/abs/0812.1802
See also the supplemental note pdf file

L. Rogers and A. Teplyaev Laplacians on the basilica Julia set, to appear in Commun. Pure Appl. Anal.
pdf file or http://arxiv.org/abs/0802.3248 .

published papers:

L. Rogers, R. Strichartz and A. Teplyaev Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals. Trans. Amer. Math. Soc. 361 (2009) 1765-1790.
pdf file.

V. Nekrashevych and A. Teplyaev
Groups and analysis on fractals, Analysis on Graphs and its Applications, Proceedings of Symposia in Pure Mathematics, Amer. Math. Soc., 77 (2008), 143--180.
pdf file.

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

A. Teplyaev Harmonic coordinates on fractals with finitely ramified cell structure Canadian Journal of Mathematics, 60 (2008), 457-480.
pdf file

K. Okoudjou, L. Saloff-Coste and A. Teplyaev Weak uncertainty principle for fractals, graphs and metric measure spaces. Trans. Amer. Math. Soc. 360 (2008), 3857-3873
pdf file from arXiv.org

A. Pelander and A. Teplyaev Products of random matrices and derivatives on p.c.f. fractals. Journal of Functional Analysis, Volume 254, Issue 5, 1 March 2008, Pages 1188-1216
pdf file.

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.

A. Pelander and A. Teplyaev Infinite dimensional i.f.s. and smooth functions on the Sierpinski gasket. Indiana Univ. Math. J. 56 (2007), 1377--1404
pdf file.

A. Teplyaev Spectral zeta functions of fractals and the complex dynamics of polynomials, Trans. Amer. Math. Soc. 359 (2007), 4339-4358.
pdf file from arXiv.org

B.M. Hambly, V. Metz and A. Teplyaev Self-similar energies on post-critically finite self-similar fractals, (with), J. London Math. Soc. 74 (2006), 93--112.
pdf file from http://www.mathematik.uni-bielefeld.de/fgweb/

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.

A. Teplyaev A note on the theorems of M. G. Krein and L. A. Sakhnovich on continuous analogs of orthogonal polynomials on the circle, Journal of Functional Analysis 226 (2005), 257-280.
pdf file from arXiv.org

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

A. Teplyaev Energy and Laplacian on the Sierpinski gasket. Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot, Part 1. Proceedings of Symposia in Pure Mathematics 72, Amer. Math. Soc., (2004), 131--154. pdf file

A. Teplyaev Spectral zeta function of symmetric Sierpinski gasket type fractals. Fractal Geometry and Stochastics III, Progress in Probability 57, Birkhauser (2004), 245--262.

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

L. Malozemov and A. Teplyaev Self-similarity, operators and dynamics. Mathematical Physics, Analysis and Geometry 6 (2003), 201--218. 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

A. Teplyaev Gradients on fractals. Journal of Functional Analysis 174 (2000), 128--154. 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

A. Teplyaev Spectral analysis on infinite Sierpinski gaskets. Journal of Functional Analysis 159 (1998), 537--567. pdf file

L. Malozemov and A. Teplyaev Pure point spectrum of the Laplacians on fractal graphs. Journal of Functional Analysis 129 (1995), 390--405. pdf file

J.S. Geronimo and A. Teplyaev A difference equation arising from the trigonometric moment problem having random reflection coefficients -- an operator-theoretic approach. Journal of Functional Analysis 123 (1994), 12--45. pdf file

A. Teplyaev Continuous analogues of random polynomials that are orthogonal on the circle. Teoria Veroyatnostey i Primeneniya 39 (1994), 588--604; English translation in Theory Probab. Appl. 39 (1995), 476--489. pdf file

A. Teplyaev Absolute continuity of the spectrum of random polynomials that are orthogonal on the circle and their continual analogues. Zapiski Nauchnyh Seminarov LOMI, 194 (1991), 170--173; English translation in Journal of Math. Sciences 75 (1995), 1982--1985. pdf file

A. Teplyaev The pure point spectrum of random orthogonal polynomials on the circle. Doklady Akad. Nauk SSSR 320 (1991), 49--53; English translation in Soviet Math. Dokl. 44 (1992), 407--411. pdf file (E) and pdf file (R)

A. Teplyaev Properties of polynomials that are orthogonal on the circle with random parameters. Zapiski Nauchnyh Seminarov LOMI 177 (1989), 157--162; English translation in Journal of Soviet Mathematics 61 (1992), 1931--1934. pdf file

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