动力系统与分形几何讨论班——Lower Assouad-type dimensions: old and new
报 告 人:陈海鹏(深圳技术大学)
报告时间:10月25日(周五)下午3点30分—4点30分
报告地点:数学楼(海纳苑2幢 )203室
报告摘要: As natural duals to the well-studied Assouad-type dimensions, the lower Assouad-type dimensions form a family of fractal dimensions that describe and quantify the coarse aspects of a set. In this talk, we will review their definitions and properties, and present ongoing progress on the generalized lower Assouad dimension, including interpolation and attainable forms. This is joint work with Prof. Wen Wang.
报告人简介:陈海鹏博士,博士毕业于华南理工大学,现就职于深圳技术大学。研究方向包括分形几何、几何测度论、数论等。目前在Proc. Amer. Math. Soc., J. Fractal Geom., Real. Anal. Exch., J. Math. Anal. Appl., Fractals等期刊上发表论文 9 篇。