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math.DS2026
Quadratic differentials and random walks on the dual graph of a pants decomposition
Charles Bordenave, Xinlong Dong, Dragomir Šarić
Let X be an infinite Riemann surface with an upper-bounded geodesic pants decomposition. The vertices of the corresponding dual graph G are pairs of pants and edges are cuffs with…
math.CV2026
Teichmüller space of a closed set in the Riemann sphere
Xinlong Dong, Arshiya Farhath. G, Sudeb Mitra
The Teichmüller space of a closed set in the Riemann sphere is a simply connected complex Banach manifold. Its complex structure follows from Lieb isomorphism. In this paper, we sh…