一维映射族中非一致双曲性发生的可计算条件
Computable conditions for the occurrence of non-uniform hyperbolicity in families of one-dimensional maps
AI总结：
基于可计算初始条件，提出并证明了Jakobson-Benedicks-Carleson型定理，给出非一致双曲性（随机动力学）发生的显式可计算下界，并应用于二次族，证明绝对连续不变概率测度对应的参数集测度至少为10^{-5000}。
摘要：
我们基于“可计算的初始条件”提出并证明了一个关于一维映射族中非一致双曲性（随机动力学）发生的Jakobson-Benedicks-Carleson型定理，并为所选参数集的测度提供了“显式、可计算的”下界。作为我们结果的第一个应用，我们证明了二次族f_{a}(x) = x^{2}-a中具有绝对连续不变概率测度的映射对应的参数集至少为10^{-5000}。
英文摘要：
We formulate and prove a Jakobson-Benedicks-Carleson type theorem on the occurence of nonuniform hyperbolicity (stochastic dynamics) in families of one-dimensional maps, based on "computable starting conditions" and providing "explicit, computable," lower bounds for the measure of the set of selected parameters. As a first application of our results we show that the set of parameters corresponding to maps in the quadratic family f_{a}(x) = x^{2}-a which have an absolutely continuous invariant probability measure is at least 10^-5000 !
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。
