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On the dimension of points which escape to infinity at given rate under exponential iteration
Ergodic Theory and Dynamical Systems ( IF 0.8 ) Pub Date : 2021-03-29 , DOI: 10.1017/etds.2021.26 KRZYSZTOF BARAŃSKI 1 , BOGUSŁAWA KARPIŃSKA 2
中文翻译:
关于在指数迭代下以给定速率逃逸到无穷大的点的维数
更新日期:2021-03-29
Ergodic Theory and Dynamical Systems ( IF 0.8 ) Pub Date : 2021-03-29 , DOI: 10.1017/etds.2021.26 KRZYSZTOF BARAŃSKI 1 , BOGUSŁAWA KARPIŃSKA 2
Affiliation
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:
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。