在本文中，我們研究局部緊緻群上權重平移的分佈混沌。我們給出了此類算子是分佈混沌的充分條件，並透過充分條件建構了權重平移的分佈混沌的範例。特別是，我們證明了具有非週期元素的權重平移算子的分佈混沌和 Li-Yorke 混沌的存在性。

此外，我們也研究了權重平移的分佈不規則向量集（DIV）。當我們考慮複數函數空間時，我們證明了某些連通性以及與局部緊緻群中一些可測量子集的對應關係。

In this dissertation, we study distributional chaos for weighted translations on locally compact groups. We give a sufficient condition for such operators to be distributionally chaotic and construct examples of distributionally chaotic weighted translations by way of the sufficient condition. In particular, we prove the existence of distributional chaos and Li-Yorke chaos for weighted translations operators with aperiodic elements.

Furthermore, we investigate the set of distributionally irregular vectors (DIV) of weighted translations. When the field is that of complex numbers, we prove connectedness and provide some correspondences with some measurable subsets in locally compact groups.

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