Given a measured lamination on a finite area hyperbolic surface we consider a natural measure on the real line obtained by taking the push-forward of the volume measure of the unit tangent bundle of the surface under an intersection function associated with the lamination. We show that the measure gives summation identities for the Rogers dilogarithm function on the moduli space of a surface.
"Orthospectra of geodesic laminations and dilogarithm identities on moduli space." Geom. Topol. 15 (2) 707 - 733, 2011. https://doi.org/10.2140/gt.2011.15.707