The local Holder exponent for the entropy of real unimodal maps In Memory of Lei Tan

• 作 者: Giulio Tiozzo
• 机 构: DepartmentofMathematics
• 出 处: 中国科学:数学英文版
• 发表日期: 2018年12期
• 关键词: ENTROPY UNIMODAL maps QUADRATIC POLYNOMIALS Holder EXPONENT

We consider the topological entropy h(θ) of real unimodal maps as a function of the kneading parameter θ(equivalently, as a function of the external angle in the Mandelbrot set). We prove that this function is locally Hlder continuous where h(θ) > 0,