Masur's criterion does not hold in the Thurston metric (Q6062670)

Summary: We show that there is a minimal, filling, and non-uniquely ergodic lamination \(\lambda\) on the seven-times punctured sphere with uniformly bounded annular projection distances. Moreover, we show that there is a geodesic in the thick part of the corresponding Teichmüller space equipped with the Thurston metric which converges to \(\lambda\). This provides a counterexample to an analog of Masur's criterion for Teichmüller space equipped with the Thurston metric.