Zobrazeno 1 - 10
of 9 564
pro vyhledávání: '"Xu Xu"'
Autor:
Xu, Xu, Zheng, Chao
This is a continuation of \cite{X-Z DCS1} studying the discrete conformal structures on surfaces with boundary, in which we gave a classification of the discrete conformal structures on surfaces with boundary. In this paper, we prove the rigidity and
Externí odkaz:
http://arxiv.org/abs/2407.19501
In recent years, Large Language Models (LLMs) have made significant strides towards Artificial General Intelligence. However, training these models from scratch requires substantial computational resources and vast amounts of text data. In this paper
Externí odkaz:
http://arxiv.org/abs/2407.02118
Publikováno v:
Journal of Fluid Mechanics. 2024;983:A24
The familiar process of bubbles generated via breaking waves in the ocean is foundational to many natural and industrial applications. In this process, large pockets of entrained gas are successively fragmented by the ambient turbulence into smaller
Externí odkaz:
http://arxiv.org/abs/2401.09779
Autor:
Xu, Xu, Zheng, Chao
In this paper, we introduce the discrete conformal structures on surfaces with boundary in an axiomatic approach, which ensures that the Poincar\'{e} dual of an ideally triangulated surface with boundary has a good geometric structure.Then we classif
Externí odkaz:
http://arxiv.org/abs/2401.05062
Autor:
Xu, Xu, Zheng, Chao
In this paper, we study a natural discretization of the smooth Gaussian curvature on surfaces. A discrete uniformization theorem is established for this discrete Gaussian curvature. We further investigate the prescribing combinatorial curvature probl
Externí odkaz:
http://arxiv.org/abs/2401.05056
Autor:
Xu, Xu
Glickenstein introduced the discrete conformal structures on polyhedral surfaces in an axiomatic approach from Riemannian geometry perspective. It includes Thurston's circle packings, Bowers-Stephenson's inversive distance circle packings and Luo's v
Externí odkaz:
http://arxiv.org/abs/2312.02484
Autor:
Xu, Xu, Zheng, Chao
In this paper, we study a natural discretization of the smooth Gaussian curvature on surfaces, which is defined as the quotient of the angle defect and the area of a geodesic disk at a vertex of a polyhedral surface. It is proved that each decorated
Externí odkaz:
http://arxiv.org/abs/2309.06685
Autor:
Xu, Xu, Zheng, Chao
In this paper, we introduce a new discretization of the Gaussian curvature on surfaces, which is defined as the quotient of the angle defect and the area of some dual cell of a weighted triangulation at the conic singularity. A discrete uniformizatio
Externí odkaz:
http://arxiv.org/abs/2309.05215
Autor:
Xu, Xu, Zheng, Chao
Motivated by Guo-Luo's generalized circle packings on surfaces with boundary \cite{GL2}, we introduce the generalized Thurston's sphere packings on 3-dimensional manifolds with boundary. Then we investigate the rigidity of the generalized Thurston's
Externí odkaz:
http://arxiv.org/abs/2309.02457