学术报告通知

报告题目：Continuity of the Hausdorff dimensions and topological pressures for non-conformal repellers

报告人：李兵 教授（华南理工大学）

报告时间：2019年11月16日15:00—16：00

报告地点：数统院303 报告厅

数学与统计学院

                                   2019.11.15

报告摘要：In this talk, we show that the Hausdorff dimensions of C^1 expanding repellers are continuous at conformal repellers in C^1 topology. This is a direct corollary of our main result. Some counterexamples show that they may not be continuous at some non-conformal repellers. We conjecture that this phenomena is true for all the non-conformal repellers whose Hausdorff dimension is strictly less than its singularity dimension. Meanwhile, we survey some results on the dimensions of self-affine sets and non-conformal repellers. This is a joint work with Jung-Chao Ban and Yunping Jiang.