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學術演講

Taipei Postdoc Seminar

Dimensions of the Multiplicative Subshifts

2024/04/17 (Wed.) 14:00~15:00
  • 日期 : 2024/04/17 (Wed.) 14:00~15:00
  • 地點 : 台大次震宇宙館 515研討室
  • 主講人 : 賴冠宇 (國立政治大學)
  • 演講摘要 : In this talk, the concepts of multiplicative subshifts and its dimensions are introduced. Kenyon, Peres and Solomyak [Ergod. Th. Dynam. Sys., 2012] obtained the Minkowski and Hausdorff dimensions of multiplicative subshifts which is the special type of multiple ergodic average. Later, Fan, Schmeling and Wu [Adv. Math, 2016] obtained the multifractal analysis of multiple ergodic averages. Ban, Hu and Lai [Ergod. Th. Dynam. Sys., 2023] extended the Kenyon et al. and Fan et al. results to multidimensional version. Recently, we extend the Kenyon et al. results to affine multiplicative subshifts.
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