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arXiv · 2202.11991

Spectral form factor in the Hadamard-Gutzwiller model: orbit pairs contributing in the third order

Huynh M. Hien
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Abstract

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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Huynh M. Hien. 2022-02-24. Spectral form factor in the Hadamard-Gutzwiller model: orbit pairs contributing in the third order. https://arxiv.org/abs/2202.11991

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