8 citations · 13 across the 5 of their papers we have counts for
7 papers
-Integrability of Radon-Nikodym Densities Between Harmonic Energy Measures on the Sierpinski Gasket
Konstantinos Tsougkas
It is known that the energy measures of any two nonconstant harmonic functions on the standard Sierpiński gasket are mutually absolutely continuous. Strichartz and Tse reported num…
A connection between discrete and regularized Laplacian determinants on fractals
Konstantinos Tsougkas
The spectral zeta function of the Laplacian on self-similar fractal sets has been previously studied and shown to meromorphically extend to the complex plane. In this work we estab…
Regularized Laplacian determinants of self-similar fractals
Joe P. Chen, Alexander Teplyaev, Konstantinos Tsougkas
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar fractafolds, in the sense of Strichartz. These functions are known to meromorph…
Non-degeneracy of the harmonic structure on Sierpinski Gaskets
Konstantinos Tsougkas
We prove that the harmonic extension matrices for the level-k Sierpinski Gasket are invertible for every k>2. This has been previously conjectured to be true by Hino in [6] and [7]…
Counting spanning trees on fractal graphs and their asymptotic complexity
Jason A. Anema, Konstantinos Tsougkas
Using the method of spectral decimation and a modified version of Kirchhoff's Matrix-Tree Theorem, a closed form solution to the number of spanning trees on approximating graphs to…
Lower bound of the asymptotic complexity of self-similar fractal graphs
Konstantinos Tsougkas
We study the asymptotic complexity constant of the sequence of approximating graphs to a fully symmetric self-similar structure on a finitely ramified fractal . We show how full…