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most citedRecovering the shape of a quantum caterpillar tree by two spectra

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math.FA2025

Recovering the shape of a quantum tree by scattering data

Olga Boyko, Yuri Latushkin, Vyacheslav Pivovarchik

We consider a scattering problem generated by the Sturm-Liouville equation on a tree which consists of an equilateral compact subtree and a half-infinite lead attached to its root.…