65 citations · 324 across the 16 of their papers we have counts for
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math-ph2020★ 28 cited
Hearing Euler characteristic of graphs
Michał Ławniczak, Pavel Kurasov, Szymon Bauch +3
The Euler characteristic and the total length are the most important topological and geometrical characteristics of a metric graph. Here, and …
math.SP2020
A theory of spectral partitions of metric graphs
James B. Kennedy, Pavel Kurasov, Corentin Léna +1
We introduce an abstract framework for the study of clustering in metric graphs: after suitably metrising the space of graph partitions, we restrict Laplacians to the clusters thus…
math.FA2020★ 27 cited
Stable polynomials and crystalline measures
Pavel Kurasov, Peter Sarnak
Explicit examples of {\bf positive} crystalline measures and Fourier quasicrystals are constructed using pairs of stable of polynomials, answering several open questions in the are…