Hamiltonian dynamics on finite metric graphs with prescribed energy-preserving vertex isomorphisms form a global Liouville-preserving one-parameter group on the quotient phase space after excluding finitely many energy levels.
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Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs
Hamiltonian dynamics on finite metric graphs with prescribed energy-preserving vertex isomorphisms form a global Liouville-preserving one-parameter group on the quotient phase space after excluding finitely many energy levels.