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- W2018458511 abstract "The length spectrum of closed geodesics on a compact Riemann surface corresponding to a regular octagon on the Poincaré disc is investigated. The general form of the elements of the “octagon group”, a discrete subgroup of nu>SU(1,1){±1}, in terms of 2 × 2 matrices is derived, and the previously conjectured law for the length of periodic orbits is proved analytically. An algorithm for the multiplicity of geodesics with a given length is developed, which leads to an efficient enumeration of the periodic orbits of this strongly chaotic system." @default.
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- W2018458511 date "1991-02-01" @default.
- W2018458511 modified "2023-09-25" @default.
- W2018458511 title "Periodic orbits on the regular hyperbolic octagon" @default.
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- W2018458511 doi "https://doi.org/10.1016/0167-2789(91)90053-c" @default.
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