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There is a well developed theory (see [5, 9]) of analysis on certain types of fractal sets, of which the Sierpinski Gasket (SG) is the simplest non-trivial example. In this theory the fractals are vie...
We use the existence of localized eigenfunctions of the Laplacian on the Sierpinski gasket (SG) to formulate and prove analogues of the strong Szego limit theorem in this fractal setting.Furthermore, ...
The construction of a Laplacian on a class of fractals which includes the Sierpinski gasket (SG) has given rise to an intensive research on analysis on fractals. For instance, a complete theory of pol...
We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Ourresults used in a fundamental way the existence of loc...
In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Further...
For a certain domain $\Omega$ in the Sierpinski gasket $\mathcal{SG}$ whose boundary is a line segment, a complete description of the eigenvalues of the Laplacian under the Dirichlet and Neumann bound...
In this article we classi¯ed the points of the well-known fractal set Sierpinski Gasket (SG) according to their addresses. We also gave a characterization of points of SG that describes the rel...
In this paper we analyze the downward random motion of a particle in a vertical, bounded, Sierpinski gasket $G$, where at each layer either absorption or delays are considered. In the case of motion w...

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