Degeneracy in the length spectrum for metric graphs

作者：Sharp Richard^*

来源：Geometriae Dedicata, 2010, 149(1): 177-188.

DOI：10.1007/s10711-010-9475-x

• Metric graph
• Closed geodesic
• Length spectrum
• Thermodynamic formalism

In this note we show that the length spectrum for metric graphs exhibits a very high degree of degeneracy. More precisely, we obtain an asymptotic for the number of pairs of closed geodesics (or closed cycles) with the same metric length.

• 出版日期2010-12