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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…