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math.SP2020
Eigenvalues of the normalized complex Laplacian on finite electrical networks
Anna Muranova, Robert Schippa
The spectrum of the normalized complex Laplacian for electrical networks is analyzed. We show that eigenvalues lie in a larger region compared to the case of the real Laplacian. We…
math.CO2020
The effective impedances of infinite ladder networks and Dirichlet problem on graphs
Anna Muranova
We calculate effective impedances of infinite - and - ladder networks as limits of effective impedances of finite network approximations, using a new method, which involves…