报告题目：Schmidt's game and nondense orbits of a class of interval maps

报 告 人：余月力副教授（武汉大学）

报告时间：2025年4月20日  11:00-12:00

报告地点：格物楼302室

报告摘要：

Let T be a piecewise C^1+δ expanding interval map with finite branches on X. For any ξ∈X, we consider the set BAD(ξ) of x whose forward orbits are bounded away from ξ, i.e.,

BAD(ξ)={x∈X : inf_i≥0|Tⁱ(x)-ξ|>0}.

We prove that the set BAD(ξ) is 1/2-strong winning for any ξ∈X in the sense of Schmidt's game. We also prove similar results on the parameter space of β>1 for (α,β)-transformation. Our result extends that of Farm et al. for β-transformations with simpler proofs and improves upon some known results on (α,β)-transformation.

报告人简介：

余月力，武汉大学数学与统计学院副教授。主要从事分形几何与度量数论的研究，主持或参与多项国家自然科学基金，在Nonlinearity、J. Number. Theory和Finite Fields Appl.等国际知名期刊发表论文20余篇。