45 citations · 146 across the 29 of their papers we have counts for
4 papers · 1 filter
Gaps labeling theorem for the Bubble-diamond self-similar graphs
Elizabeth Melville, Gamal Mograby, Nikhil Nagabandi +2
Motivated by the appearance of fractals in several areas of physics, especially in solid state physics and the physics of aperiodic order, and in other sciences, including the quan…
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…
Fractal AC circuits and propagating waves on fractals
Eric Akkermans, Joe P. Chen, Gerald Dunne +2
We extend Feynman's analysis of the infinite ladder AC circuit to fractal AC circuits. We show that the characteristic impedances can have positive real part even though all the in…
Magnetic fields on resistance spaces
Michael Hinz, Luke Rogers
On a metric measure space that supports a regular, strongly local resistance form we consider a magnetic energy form that corresponds to the magnetic Laplacian for a particle c…