1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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…
Resolution Enhancement of Under-sampled Photoacoustic Microscopy Images using Implicit Neural Representations
Youshen Xiao, Sheng Liao, Xuanyang Tian +7
Acoustic-Resolution Photoacoustic Microscopy (AR-PAM) is promising for subcutaneous vascular imaging, but its spatial resolution is constrained by the Point Spread Function (PSF).…
On the derivatives of the Liouville currents
Xinlong Dong, Dragomir Šarić, Zhe Wang
The Liouville map, introduced by Bonahon, assigns to each point in the Teichmüller space a natural Radon measure on the space of geodesics of the base surface. The Liouville map is…
Carathéodory metric on some generalized Teichmüller spaces
Xinlong Dong, Sudeb Mitra
We study the Carathéodory metric on some generalized Teichmüller spaces. Earle showed that the Carathéodory metric is complete on any Teichmüller space. Miyachi extended this resul…
Divergent geodesics in the Universal Teichmüller space
Xinlong Dong, Hrant Hakobyan
Thurston boundary of the universal Teichmüller space is the space of projective bounded measured laminations of . A geodesic ray…