论文标题
平滑度低的对称双峰图的重新归一化
Renormalization of symmetric bimodal maps with low smoothness
论文作者
论文摘要
本文涉及平滑度低的对称双峰图的重新归一化。我们证明了在空间$ c^{1+lip} $对称双峰地图中的重归其化固定点的存在。此外，我们表明，在$ c^{1+lip} $对称双峰图的空间上定义的重新归一化操作员的拓扑熵是无限的。此外，我们证明了重新归一化的固定点的连续体。因此，这证明了对称双峰图的重新归一化的非依据。
This paper deals with the renormalization of symmetric bimodal maps with low smoothness. We prove the existence of the renormalization fixed point in the space $C^{1+Lip}$ symmetric bimodal maps. Moreover, we show that the topological entropy of the renormalization operator defined on the space of $C^{ 1+Lip}$ symmetric bimodal maps is infinite. Further we prove the existence of a continuum of fixed points of renormalization. Consequently, this proves the non-rigidity of the renormalization of symmetric bimodal maps.
