Geodesic
Masur’s criterion does not hold in the Thurston metric
Ivan Telpukhovskiy1
1University of Toronto, Canada; Saint Petersburg State University, Russia
Groups, geometry, and dynamics, Tome 17 (2023) no. 4, pp. 1435-1481

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DOI

We show that there is a minimal, filling, and non-uniquely ergodic lamination λ 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 λ. This provides a counterexample to an analog of Masur's criterion for Teichmüller space equipped with the Thurston metric.
DOI : 10.4171/ggd/736
Classification : 51-XX, 30-XX, 57-XX
Mots-clés : Thurston metric, Masur’s criterion, Teichmüller space

Ivan Telpukhovskiy  1

1 University of Toronto, Canada; Saint Petersburg State University, Russia 
Ivan Telpukhovskiy. Masur’s criterion does not hold in the Thurston metric. Groups, geometry, and dynamics, Tome 17 (2023) no. 4, pp. 1435-1481. doi: 10.4171/ggd/736
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