45 citations · 146 across the 29 of their papers we have counts for
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math.CA2017★ 5 cited
Spectra of Magnetic Operators on the Diamond Lattice Fractal
Antoni Brzoska, Aubrey Coffey, Madeline Rooney +2
We adapt the well-known spectral decimation technique for computing spectra of Laplacians on certain symmetric self-similar sets to the case of magnetic Schrodinger operators and w…
math.CA2017★ 1 cited
Measurable Riemannian structure on higher dimensional harmonic Sierpinski gaskets
Sara Chari, Joshua Frisch, Daniel J. Kelleher +1
We prove existence of a measurable Riemannian structure on higher-dimensional harmonic Sierpinski gasket fractals and deduce Gaussian heat kernel bounds in the geodesic metric. Our…