Publication: Cutting sequences on Bouw-Möller surfaces: an S-adic characterization
Cutting sequences on Bouw-Möller surfaces: an S-adic characterization
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Davis, D., Pasquinelli, I., & Ulcigrai, C. (2019). Cutting sequences on Bouw-Möller surfaces: an S-adic characterization. Annales Scientifiques de l’Ecole Normale Superieure, 52(4), 927–1023. https://doi.org/10.24033/asens.2401
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We consider a symbolic coding for geodesics on the family of Veech surfaces (translation surfaces rich with affine symmetries) recently discovered by Bouw and Möller. These surfaces, as noticed by Hooper, can be realized by cutting and pasting a collection of semi-regular polygons. We characterize the set of symbolic sequences (cutting sequences) that arise by coding linear trajectories by the sequence of polygon sides crossed. We provide a full characterization for the closure of the set of cutting sequences, in the spirit of the cla
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- Davis, Diana
- Pasquinelli, Irene
- Ulcigrai, Corinna
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Davis, D., Pasquinelli, I., & Ulcigrai, C. (2019). Cutting sequences on Bouw-Möller surfaces: an S-adic characterization. Annales Scientifiques de l’Ecole Normale Superieure, 52(4), 927–1023. https://doi.org/10.24033/asens.2401
