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· 1992

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Straight-line trajectories on the Mucube

math.DS · 2026-05-08 · unverdicted · novelty 6.0

The authors characterize the periodic directions of straight-line flow on the Mucube via a genus-one quotient and an infinitely generated subgroup of SL(2,Z), determine its Veech group, and prove density of periodic and ergodic directions.

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  • Straight-line trajectories on the Mucube math.DS · 2026-05-08 · unverdicted · none · ref 32

    The authors characterize the periodic directions of straight-line flow on the Mucube via a genus-one quotient and an infinitely generated subgroup of SL(2,Z), determine its Veech group, and prove density of periodic and ergodic directions.