Abstract
In this chapter we discuss radallas, essentially an immersed version of train tracks. While train tracks are a key tool to study the structure of all simple curves on surfaces, radallas will play a similar role for curves with self-intersections. The results of this chapter are in some sense the technical core of this book.
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References
V. Erlandsson and J. Souto, Counting Curves in Hyperbolic Surfaces, GAFA 26, 2016.
M. Rees, An alternative approach to the ergodic theory of measured foliations on surfaces, Ergodic Theory Dynamical Systems 1 (1981).
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Erlandsson, V., Souto, J. (2022). Radallas. In: Mirzakhani’s Curve Counting and Geodesic Currents. Progress in Mathematics, vol 345. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-08705-9_5
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DOI: https://doi.org/10.1007/978-3-031-08705-9_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-031-08704-2
Online ISBN: 978-3-031-08705-9
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