标题：Continuity Of The Hausdor Dimensions And Topological Pressures For Non-Conformal Repellers

报告人：班荣超

内容：In this paper, we prove that the Hausdorff dimensions of C1 expanding repellers are continuous at conformal repellers in C1 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

报告时间：8月10日周六上午10:00–12:00

地点：蒙民伟楼1105v

标题：ON THE ENTROPY OF SPACING SHIFTS

报告人：班荣超

内容：Spacing shifts were introduced by Lau and Zame in 1973 to provide examples of maps that are topologically weakly mixing but not mixing. Recently, it has been shown that the shift possesses a rich variety of dynamical characteristics. However, the entropy formula for the general spacing shift is still unknown. Our result has two fold. First, we characterize whether a spacing shift is entropy minimal. Second, the entropy formulae of the additive and multiplicative spacing shifts are presented.

时间：8月10号周六下午14:00-16：00

地点：蒙民伟楼1105

标题：Law of the iterated logarithm for dynamical systems

报告人：崔鸿飞

内容：We prove the law of the iterated logarithm in the setting of ergodic measure preserving transformation under a mild summability condition. We apply the result to the dynamical systems with certain decay of correlations for different observations.

时间：8月10 号下午16:00-18:00

地点：蒙民伟楼1105

邀请人：王奕倩 老师