Towards the saturation of the Froissart bound

The Froissart bound for inelastic cross-sections

We prove that while the total cross{}-section is bounded by $(π/m_π^2) \ln^2 s$, where $s$ is the square of the c.m. energy and $m_π$ the mass of the pion, the total inelastic cross{}-section is bounded by $(1/4)(π/m_π^2) \ln^2 s$, which is 4 times smaller. We discuss the implications of this result on the total cross{}-section itself.

双曲轨形的Bootstrap界非饱和性

Non-saturation of Bootstrap Bounds by Hyperbolic Orbifolds

本工作研究了共形bootstrap应用于双曲轨形时Laplace特征值界的饱和性问题，在数值收敛假设下证明这些界未被实际饱和，并利用与模形式Rankin-Cohen括号的联系推导出OPE系数公式。

使用区间交换变换的度量图永久饱和上界

Upper Bound for Permanent Saturation of Metric Graphs using Interval Exchange Transformations

通过区间交换变换研究有限度量图中永久ε-饱和时间的上界，证明了当图包含两条长度比为无理数的闭路时，饱和时间存在显式上界，有界型旋转给出ε^{-1}阶上界。