Zobrazeno 1 - 10
of 407
pro vyhledávání: '"Wu Yunhui"'
Autor:
He, Yuxin, Wu, Yunhui
Let $\mathcal{M}_g$ be the moduli space of hyperbolic surfaces of genus $g$ endowed with the Weil-Petersson metric. We view the regularized determinant $\log \det(\Delta_{X})$ of Laplacian as a function on $\mathcal{M}_g$ and show that there exists a
Externí odkaz:
http://arxiv.org/abs/2411.12971
In this paper, we investigate the asymptotic behavior of the non-simple systole, which is the length of a shortest non-simple closed geodesic, on a random closed hyperbolic surface on the moduli space $\mathcal{M}_g$ of Riemann surfaces of genus $g$
Externí odkaz:
http://arxiv.org/abs/2308.16447
Autor:
Wu, Yunhui
A basic feature of Teichm\"uller theory of Riemann surfaces is the interplay of two dimensional hyperbolic geometry, the behavior of geodesic-length functions and Weil-Petersson geometry. Let $\mathcal{T}_g$ $(g\geq 2)$ be the Teichm\"uller space of
Externí odkaz:
http://arxiv.org/abs/2307.06035
Autor:
Tachikawa, Saeko, Ordonez-Miranda, Jose, Jalabert, Laurent, Wu, Yunhui, Guo, Yangyu, Anufriev, Roman, Kim, Byunggi, Fujita, Hiroyuki, Volz, Sebastian, Nomura, Masahiro
Classical Planck's theory of thermal radiation predicts an upper limit of the heat transfer between two bodies separated by a distance longer than the dominant radiation wavelength (far-field regime). This limit can be overcome when the dimensions of
Externí odkaz:
http://arxiv.org/abs/2301.02076
Autor:
Wu, Yunhui, Xue, Yuhao
Let $\mathcal{M}_g$ be the moduli space of hyperbolic surfaces of genus $g$ endowed with the Weil-Petersson metric. In this paper, we show that for any $\epsilon>0$, as $g\to \infty$, for a generic surface in $\mathcal{M}_g$, the error term in the Pr
Externí odkaz:
http://arxiv.org/abs/2209.10415
Autor:
He, Yuxin, Wu, Yunhui
In this article, we study the second eigenvalues of closed hyperbolic surfaces for large genus. We show that for every closed hyperbolic surface $X_g$ of genus $g$ $(g\geq 3)$, up to uniform positive constants multiplications, the second eigenvalue $
Externí odkaz:
http://arxiv.org/abs/2207.12919
Autor:
Huang, Xin, Guo, Yangyu, Wu, Yunhui, Masubuchi, Satoru, Watanabe, Kenji, Taniguchi, Takashi, Zhang, Zhongwei, Volz, Sebastian, Machida, Tomoki, Nomura, Masahiro
In recent times, the unique collective transport physics of phonon hydrodynamics motivates theoreticians and experimentalists to explore it in micro- and nanoscale and at elevated temperatures. Graphitic materials have been predicted to facilitate hy
Externí odkaz:
http://arxiv.org/abs/2207.01469
Autor:
Shen, Yang, Wu, Yunhui
Brooks and Makover developed a combinatorial model of random hyperbolic surfaces by gluing certain hyperbolic ideal triangles. In this paper we show that for any $\epsilon>0$, as the number of ideal triangles goes to infinity, a generic hyperbolic su
Externí odkaz:
http://arxiv.org/abs/2204.09853
Publikováno v:
In Chemical Engineering Journal 1 December 2024 501
Autor:
Shen, Yang, Wu, Yunhui
Let $\mathcal{M}_{g,n(g)}$ be the moduli space of hyperbolic surfaces of genus $g$ with $n(g)$ punctures endowed with the Weil-Petersson metric. In this paper we study the asymptotic behavior of the Cheeger constants and spectral gaps of random hyper
Externí odkaz:
http://arxiv.org/abs/2203.15681