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Flat surfaces, unipotent flows and bold visions. The work of Maryam Mirzakhani and Marina Ratner (Q1692653)

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scientific article; zbMATH DE number 6823652
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English
Flat surfaces, unipotent flows and bold visions. The work of Maryam Mirzakhani and Marina Ratner
scientific article; zbMATH DE number 6823652

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    Flat surfaces, unipotent flows and bold visions. The work of Maryam Mirzakhani and Marina Ratner (English)
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    10 January 2018
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    The paper describes some common aspects on the work of M. Ratner and M. Mirzakhani. The topics include geometry and dynamics of billiards on flat surfaces, closed geodesics, moduli spaces and hyperbolic dynamics. The author points out that all these topics and results coexist harmonically.
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    flat surfaces
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    moduli spaces
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    unipotent flows
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    geodesics
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    billiards
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