黎曼球面上有理映射的热力学
On Thermodynamics of Rational Maps on the Riemann sphere
摘要：
证明了黎曼球面上有理映射f的转移算子存在谱隙。利用这一定理和扰动算子的方法，我们建立了f的极大熵测度的（局部）中心极限定理，并给出了收敛速度的估计.
英文摘要：
We show that there is a spectral gap for the transfer operator associated to a rational map f on the Riemann sphere. Using this and the method of pertubed operators we establish the (Local) Central Limit Theorem for the measure of maximal entropy of f, with an estimate on the speed of convergence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
