广州数学大讲坛第六期
第五十二讲——华中师范大学邓国泰副教授学术报告
题目：Self-affine tiles generated by a finite number of matrices
时间：2023年8月5日（周六）上午9：00-10：30
地点：理学实验楼314
报告人：邓国泰
摘要:We study self-affine tiles generated by an iterated function system consisting of affine mappings whose linear parts are defined by different matrices. We obtain an interior theorem for these tiles. We prove a tiling theorem by showing that for such a self-affine tile, there always exists a tiling set. We also obtain a more complete interior theorem for reptiles, which are tiles obtained when the matrices in the iterated function system are similarities. Our results extend some of the classical ones by Lagarias and Wang [{\em Adv. Math.} {\bf 121} (1996), 21--49], where the IFS maps are defined by a single matrix.
报告人简介：
邓国泰，华中师范大学副教授，硕士生导师，正主持国家自然科学基金面上项目一项，已在Adv. Math.(2篇), Trans. AMS, Science in China等国内外权威杂志发表SCI论文近20篇。
