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20192026
most citedOn the effective impedance of finite and infinite networks

11 citations · 35 across the 16 of their papers we have counts for

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math.SP2026

-sectorial discrete Laplacians and recurrence of complex-weighted graphs

Anna Muranova

We consider complex-weighted graphs, whose edge weights belong to a sector in the complex plane. We show that the corresponding Dirichlet Laplacian is -sectorial, and, hence, ge…

math.SP2026

Periodic discrete graphs with prescribed spectrum

Andrii Khrabustovskyi, Anna Muranova

We construct a periodic weighted graph whose discrete Laplacian has a spectrum with precisely gaps. Moreover, we show that by an appropriate choice of the weights, the endpoint…