Distribution of Resonances for Hyperbolic Surfaces
Distribution of Resonances for Hyperbolic Surfaces
复制标题
双曲曲面的共振分布
DOI：
10.1080/10586458.2013.857282
复制
发表时间：
2013
影响因子：
0.5
通讯作者：
D. Borthwick
中科院分区：
文献类型：
--
作者：
D. Borthwick
我们通过数值计算共振来研究无限面积的几何有限双曲表面的共振分布。使用计算肖特基群 zeta 函数的算法，将共振计算为 Selberg zeta 函数的零点。我们特别关注最近引起关注的共振分布的三个方面：分形韦尔定律、光谱间隙和衰减率集中。
We study the distribution of resonances for geometrically finite hyperbolic surfaces of infinite area by counting resonances numerically. The resonances are computed as zeros of the Selberg zeta function, using an algorithm for computation of the zeta function for Schottky groups. Our particular focus is on three aspects of the resonance distribution that have attracted attention recently: the fractal Weyl law, the spectral gap, and the concentration of decay rates.
影响因子：
8.6
作者：
Sonja Barkhofen;Tobias Weich;A. Potzuweit;Hans-Jürgen Stöckmann;Ulrich Kuhl;Maciej Zworski
通讯作者：
Sonja Barkhofen;Tobias Weich;A. Potzuweit;Hans-Jürgen Stöckmann;Ulrich Kuhl;Maciej Zworski