For an annealed type random dynamical system arising from non-uniformly expanding maps which admits uniformly contractive branches, we establish the existence of an absolutely continuous σ-finite invariant measure. We also show when the invariant measure is infinite.

中文翻译：

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关于具有均匀收缩部分的间歇马尔可夫图的随机迭代的σ-有限acim的存在

对于由允许一致收缩分支的非均匀扩展映射产生的退火型随机动力系统，我们建立了绝对连续的存在σ- 有限不变测度。我们还展示了不变测度何时是无限的。