Zobrazeno 1 - 10
of 385
pro vyhledávání: '"52C26"'
S-embeddings were introduced by Chelkak as a tool to study the conformal invariance of the thermodynamic limit of the Ising model. Moreover, Chelkak, Laslier and Russkikh introduced a lift of s-embeddings to Lorentz space, and showed that in the limi
Externí odkaz:
http://arxiv.org/abs/2411.19055
We define discrete constant mean curvature (cmc) surfaces in the three-dimensional Euclidean and Lorentz spaces in terms of sphere packings with orthogonally intersecting circles. These discrete cmc surfaces can be constructed from orthogonal ring pa
Externí odkaz:
http://arxiv.org/abs/2410.08915
Autor:
Friedlander, Holley, Fuchs, Elena, Harris, Piper, Hsu, Catherine, Rickards, James, Sanden, Katherine, Schindler, Damaris, Stange, Katherine E.
Inspired by a question of Sarnak, we introduce the notion of a prime component in an Apollonian circle packing: a maximal tangency-connected subset having all prime curvatures. We also consider thickened prime components, which are augmented by all c
Externí odkaz:
http://arxiv.org/abs/2410.00177
Autor:
Bobenko, Alexander I.
We introduce orthogonal ring patterns in the 2-sphere and in the hyperbolic plane, consisting of pairs of concentric circles, which generalize circle patterns. We show that their radii are described by a discrete integrable system. This is a special
Externí odkaz:
http://arxiv.org/abs/2409.06573
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
This paper investigates a kind of degenerated circle packings in hyperbolic background geometry. A main problem is whether a prescribed total geodesic curvature data can be realized by a degenerated circle packing or not. We fully characterize the su
Externí odkaz:
http://arxiv.org/abs/2407.08496
Autor:
Lam, Wai Yeung
We consider circle patterns on surfaces with complex projective structures. We investigate two symplectic forms pulled back to the deformation space of circle patterns. The first one is Goldman's symplectic form on the space of complex projective str
Externí odkaz:
http://arxiv.org/abs/2404.17458
Autor:
Hua, Bobo, Zhou, Puchun
Peter Doyle conjectured that locally univalent circle packings on the hexagonal lattice only consist of regular hexagonal packings and Doyle spirals, which is called the Doyle conjecture. In this paper, we prove a rigidity theorem for Doyle spirals i
Externí odkaz:
http://arxiv.org/abs/2404.11258
$n$-Dimensional Volumetric Stretch Energy Minimization for Volume-/Mass-Preserving Parameterizations
In this paper, we develop an $n$ dimensional volumetric stretch energy ($n$-VSE) functional for the volume-/mass-preserving parameterization of the $n$-manifolds topologically equivalent to $n$-ball. The $n$-VSE has a lower bound and equal to it if a
Externí odkaz:
http://arxiv.org/abs/2402.00380
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