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math-ph2020
Topological bulk-edge effects in quantum graph transport
Pavel Exner, Jiri Lipovsky
We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive…
math-ph2020
The determinant of one-dimensional polyharmonic operators of arbitrary order
Pedro Freitas, Jiří Lipovský
We obtain an explicit expression for the regularised spectral determinant of the polyharmonic operator on with Dirichlet boundary conditi…