# AGA

## Seminar

### Spectral properties and trace formulae for quantum graphs with general self-adjoint boundary conditions

Seminar Room 1, Newton Institute

#### Abstract

We consider general self-adjoint realisations of the Laplacian on a compact metric graph and study their spectral properties. We prove a trace formula that expresses the spectral density in terms of a sum over periodic orbits on the graph.

## Comments

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