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math.PR2005★ 71 cited
Harmonic coordinates on fractals with finitely ramified cell structure
Alexander Teplyaev
We define sets with finitely ramified cell structure, which are generalizations of p.c.f. self-similar sets introduced by Kigami and of fractafolds introduced by Strichartz. In gen…
math.SP2005★ 57 cited
Spectral zeta functions of fractals and the complex dynamics of polynomials
Alexander Teplyaev
We obtain formulas for the spectral zeta function of the Laplacian on symmetric finitely ramified fractals, such as the Sierpinski gasket, and a fractal Laplacian on the interval.…