论文标题
在Farey地图的广义转移操作员上，温度复杂
On the generalised transfer operators of the Farey map with complex temperature
论文作者
论文摘要
我们认为表明1是Farey Map的广义转移经营者家族的特征值。该问题与模块表面的光谱理论有关，通过Selberg Zeta函数和地图的动力学Zeta函数理论。在简短地回顾了这些连接后，我们表明可以在适当的希尔伯特空间上为操作员提出问题，并转化为无限矩阵的线性代数问题。
We consider the problem of showing that 1 is an eigenvalue for a family of generalised transfer operators of the Farey map. This problem is related to the spectral theory of the modular surface via the Selberg Zeta function and the theory of dynamical zeta functions of maps. After briefly recalling these connections, we show that the problem can be formulated for operators on an appropriate Hilbert space and translated into a linear algebra problem for infinite matrices.
