75 citations · 932 across the 61 of their papers we have counts for
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math.AP2021★ 6 cited
Boundary value problems on non-Lipschitz uniform domains: Stability, compactness and the existence of optimal shapes
Michael Hinz, Anna Rozanova-Pierrat, Alexander Teplyaev
We study boundary value problems for bounded uniform domains in , , with non-Lipschitz (and possibly fractal) boundaries. We prove Poincaré inequalities with…
math.SP2021★ 5 cited
Spectral decimation of a self-similar version of almost Mathieu-type operators
Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou +1
We introduce self-similar versions of the one-dimensional almost Mathieu operators. Our definition is based on a class of self-similar Laplacians instead of the standard discrete L…