Misiurewicz参数下的阈前分数磁化率函数
Pre-threshold fractional susceptibility functions at Misiurewicz parameters
摘要:
我们表明,响应,冻结和半reddo分数的某些实解析单峰家庭的磁化率函数,在Misiurewicz参数和分数微分指数$0\leη<1/2$,是全纯的半径大于1的磁盘上。这是一个步骤,解决了一个猜想的Baladi和Smania,在案件中的上述敏感性功能。
英文摘要:
We show that the response, frozen and semifreddo fractional susceptibility functions of certain real-analytic unimodal families, at Misiurewicz parameters and for fractional differentiation index $0\leη<1/2$, are holomorphic on a disk of radius greater than one. This is a step towards solving a conjecture of Baladi and Smania, in the case of the aforementioned susceptibility functions.
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