75 citations · 932 across the 61 of their papers we have counts for
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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…
Fractal snowflake domain diffusion with boundary and interior drifts
Michael Hinz, Maria Rosaria Lancia, Alexander Teplyaev +1
We study a parabolic Ventsell problem for a second order differential operator in divergence form and with interior and boundary drift terms on the snowflake domain. We prove that…
Power dissipation in fractal AC circuits
Joe P. Chen, Luke G. Rogers, Loren Anderson +8
We extend Feynman's analysis of an infinite ladder circuit to fractal circuits, providing examples in which fractal circuits constructed with purely imaginary impedances can have c…