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Alexander Teplyaev
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Analysis on Graphs and Its Applications: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 8-June 29, 2007
P Exner
American Mathematical Soc., 2008
2702008
Spectral analysis on infinite Sierpiński gaskets
A Teplyaev
journal of functional analysis 159 (2), 537-567, 1998
1751998
Uniqueness of Brownian motion on Sierpiński carpets
RF Bass, T Kumagai, MT Barlow, A Teplyaev
Journal of the European Mathematical Society 12 (3), 655-701, 2010
1542010
What is not in the domain of the Laplacian on Sierpinski gasket type fractals
O Ben-Bassat, RS Strichartz, A Teplyaev
Journal of functional analysis 166 (2), 197-217, 1999
1511999
Harmonic coordinates on fractals with finitely ramified cell structure
A Teplyaev
Canadian Journal of Mathematics 60 (2), 457-480, 2008
1062008
Vibration modes of 3n-gaskets and other fractals
N Bajorin, T Chen, A Dagan, C Emmons, M Hussein, M Khalil, P Mody, ...
Journal of Physics A: Mathematical and Theoretical 41 (1), 015101, 2007
992007
Self-similarity, operators and dynamics
L Malozemov, A Teplyaev
Mathematical Physics, Analysis and Geometry 6, 201-218, 2003
872003
Gradients on fractals
A Teplyaev
Journal of Functional Analysis 174 (1), 128-154, 2000
872000
Thermodynamics of photons on fractals
E Akkermans, GV Dunne, A Teplyaev
Physical review letters 105 (23), 230407, 2010
832010
Pure point spectrum of the Laplacians on fractal graphs
L Malozemov, A Teplyaev
Journal of Functional Analysis 129 (2), 390-405, 1995
751995
Physical consequences of complex dimensions of fractals
E Akkermans, GV Dunne, A Teplyaev
Europhysics Letters 88 (4), 40007, 2009
672009
Spectral zeta functions of fractals and the complex dynamics of polynomials
A Teplyaev
Transactions of the American Mathematical Society 359 (9), 4339-4358, 2007
652007
On the scaling limit of planar selfavoiding walk, Fractal Geometry and Applications: a Jubilee of Benoit Mandelbrot, Part 2, 339-364
G Lawler, O Schramm, W Werner
Proc. Sympos. Pure Math 72, 2004
62*2004
Derivations and Dirichlet forms on fractals
M Ionescu, LG Rogers, A Teplyaev
Journal of Functional Analysis 263 (8), 2141-2169, 2012
592012
Dirac and magnetic Schrödinger operators on fractals
M Hinz, A Teplyaev
Journal of Functional Analysis 265 (11), 2830-2854, 2013
582013
Spectral analysis on infinite Sierpiński fractafolds
RS Strichartz, A Teplyaev
Journal d'Analyse Mathématique 116 (1), 255-297, 2012
562012
Fractal Laplacians on the unit interval
EJ Bird, SM Ngai, A Teplyaev
Ann. Sci. Math. Québec 27 (2), 135-168, 2003
562003
Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces
M Hinz, M Röckner, A Teplyaev
Stochastic Processes and their Applications 123 (12), 4373-4406, 2013
552013
Self-similar energies on post-critically finite self-similar fractals
BM Hambly, V Metz, A Teplyaev
Journal of the London Mathematical Society 74 (1), 93-112, 2006
512006
The spectrum of the Laplacian on the pentagasket
B Adams, SA Smith, RS Strichartz, A Teplyaev
Fractals in Graz 2001: Analysis—Dynamics—Geometry—Stochastics, 1-24, 2003
472003
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