We prove a number of results concerning the Hausdorff and packing dimension of sets of points which escape (at least in average) to infinity at a given rate under non-autonomous iteration of exponential maps. In particular, we generalize the results proved by Sixsmith in 2016 and answer his question on annular itineraries for exponential maps.

中文翻译：

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关于在指数迭代下以给定速率逃逸到无穷大的点的维数

我们证明了一些关于 Hausdorff 和点集的打包维度的结果，这些点在指数映射的非自主迭代下以给定的速率逃逸（至少平均而言）到无穷大。特别是，我们概括了 Sixsmith 在 2016 年证明的结果，并回答了他关于指数地图环形路线的问题。