We prove that if a finitely generated random group action is robustly expansive and has the shadowing property, then it is rigid. We apply this result to analyze the rigidity of certain iterated function systems or actions of the discrete Heisenberg group.

中文翻译：

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随机小组行动的刚性

我们证明，如果有限生成的随机组动作具有鲁棒性并具有遮蔽属性，则它是刚性的。我们将此结果用于分析某些迭代功能系统或离散Heisenberg组的作用的刚性。