Hadamard-Gutzwiller模型中的谱形状因子：三阶轨道对的贡献
Spectral form factor in the Hadamard-Gutzwiller model: orbit pairs contributing in the third order
摘要：
本文考虑Hadamard-Gutzwiller模型中轨道对对谱形状因子的三阶贡献。我们证明了在某些结构中包含两个2-相遇的周期轨道具有伙伴轨道。在具有明确误差界限的$\ln(1+u_1s_1)(1+u_2s_2)$处估计动作差异，其中$(u_1,s_1)$和$(u_2,s_2)$是刺穿点的坐标。通过共轭类给出了轨道对的一种新的符号动力学。
英文摘要：
In this paper we consider orbit pairs contributing in the third order of the spectral form factor in the Hadamard-Gutzwiller model. We prove that periodic orbits including two 2-encounters in certain structures have partner orbits. The action differences are estimated at $\ln(1+u_1s_1)(1+u_2s_2)$ with explicit error bounds, where $(u_1,s_1)$ and $(u_2,s_2)$ are the coordinates of the piercing points. A new symbolic dynamics for orbit pairs via conjugacy classes is also provided.
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