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math.FA2023
The logarithmic Dirichlet Laplacian on Ahlfors regular spaces
Dimitris Michail Gerontogiannis, Bram Mesland
We introduce the logarithmic analogue of the Laplace-Beltrami operator on Ahlfors regular metric-measure spaces. This operator is intrinsically defined with spectral properties ana…
math.OA2023★ 2 cited
Classifying the Dynamics of Architected Materials by Groupoid Methods
Bram Mesland, Emil Prodan
We consider synthetic materials consisting of self-coupled identical resonators carrying classical internal degrees of freedom. The architecture of such material is specified by th…