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Seminars

Taipei Postdoc Seminar

Dimensions of the Multiplicative Subshifts

2024/04/17 (Wed.) 14:00~15:00
  • Date : 2024/04/17 (Wed.) 14:00~15:00
  • Location : Room 515, Cosmology Building, NTU
  • Speaker : Guan-Yu Lai (National Chengchi University)
  • Abstract : 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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