Shortest closed billiard trajectories in the plane and equality cases in Mahler's conjecture (Q329342)

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scientific article; zbMATH DE number 6642180
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English
Shortest closed billiard trajectories in the plane and equality cases in Mahler's conjecture
scientific article; zbMATH DE number 6642180

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    Shortest closed billiard trajectories in the plane and equality cases in Mahler's conjecture (English)
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    21 October 2016
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    The author of this paper proves some Rogers-Shepard type inequalities for the lengths of shortest closed billiard trajectories and establishes some properties of closed billiard trajectories in Hanner polytopes.
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    billiard dynamics
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    billiards in Minkowski norm
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    Mahler's conjecture
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    Rogers-Shepard type inequalities
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