报告人：孙运 讲师（武汉理工大学）

时间：2026年01月10日 15:30-

地址：理科楼LA104

摘要：Let f be a topologically expansive decreasing Lorenz map and c be the discontinuity point. The survivor set is denoted as $S_{f}(H):=\{x\in[0,1]: f^{n}(x)\notin H, \forall n\geq 0\}$, where $H$ is an open subinterval.  By combinatorial tools, we obtain the admissible condition for the kneading invariants of expansive decreasing Lorenz maps. Moreover, let $a$ be fixed, when $f$ has an ergodic a.c.i.m., we prove that the topological entropy function  is a devil's staircase. At the special case that f being a negative $\beta$-transformation, using the Ledrappier-Young formula, the Hausdorff dimension function  is a devil's staircase. All the results can be extended to the case that b is fixed.

邀请人：孔德荣

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