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math.GT2025
On the spectrum of the number of geodesics and tight geodesics in the curve complex
Ryo Matsuda, Kanako Oie, Hiroshige Shiga
Let be an oriented surface of type . We are interested in geodesics in the curve complex of . In general, two -simplexes in have i…
math.GT2024
New degeneration phenomenon for infinite-type Riemann surfaces
Ryo Matsuda
Since the Teichmüller space of a surface is a deformation space of complex structures defined on , its Bers boundary describes the degeneration of complex structures in a c…