Limit theorems for wobbly interval intermittent maps
Limit theorems for wobbly interval intermittent maps
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DOI：
10.4064/sm200427-21-11
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发表时间：
2019-10
影响因子：
0.8
通讯作者：
Douglas Coates;M. Holland;D. Terhesiu
中科院分区：
文献类型：
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作者：
Douglas Coates;M. Holland;D. Terhesiu
我们考虑具有无关不动点的区间图的扰动，我们将其称为摆动区间间歇图，对于这种情况，一般 Holder 可观测量的稳定定律失效。我们获得了此类地图和 Holder 可观测量的极限定律。这些极限定律类似于先前为确定性过程建立的经典半稳定定律，但当前动态设置所施加的某些限制反映在主要结果中。所考虑的示例之一是具有可数个不连续点的区间图，为了分析它，我们需要构造一个马尔可夫/杨塔。
We consider perturbations of interval maps with indifferent fixed points, which we refer to as wobbly interval intermittent maps, for which stable laws for general Holder observables fail. We obtain limit laws for such maps and Holder observables. These limit laws are similar to the classical semistable laws previously established for deterministic processes, but certain limitations imposed by the current dynamical set up are reflected in the main result. One of the considered examples is an interval map with a countable number of discontinuities, and to analyse it we need to construct a Markov/Young tower.