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- W3202548145 abstract "The goal of this note is to study the action of the backward Rauzy-Veech algorithm on the translation surfaces with horizontal saddle connections. In particular, we prove that the orbit of a translation surface via the aforementioned algorithm is $infty$-complete if and only if the surface does not posses horizontal saddle connections. Moreover, we show that appearance of all saddle connections as sides of the polygonal representations of the translations surface along the backward Rauzy-Veech induction orbit is equivalent to the minimality of the horizontal translation flow." @default.
- W3202548145 created "2021-10-11" @default.
- W3202548145 creator A5048559767 @default.
- W3202548145 date "2022-12-27" @default.
- W3202548145 modified "2023-10-16" @default.
- W3202548145 title "Backward Rauzy-Veech algorithm and horizontal saddle connections" @default.
- W3202548145 cites W1959060057 @default.
- W3202548145 cites W2073123112 @default.
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- W3202548145 doi "https://doi.org/10.2422/2036-2145.202110_010" @default.
- W3202548145 hasPublicationYear "2022" @default.
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