output
19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2022 · math.SPShow all

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math.SP2022★ 2 cited

Impediments to diffusion in quantum graphs: geometry-based upper bounds on the spectral gap

Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1

We derive several upper bounds on the spectral gap of the Laplacian with standard or Dirichlet vertex conditions on compact metric graphs. In particular, we obtain estimates based…

math.SP2022★ 5 cited

Families of non-tiling domains satisfying Pólya's conjecture

Pedro Freitas, Isabel Salavessa

We show the existence of classes of non-tiling domains satisfying Pólya's conjecture in any dimension, in both the Euclidean and non-Euclidean cases. This is a consequence of a mor…