报告人 ：Pieter Allaart（University of North Texas）
Zoom会议：839 9169 8376 密码：314159
摘要：In 1973, P. Lax published a surprising paper about the differentiability of Polya's space-filling curve. In 2006, H. Okamoto introduced a completely different one-parameter family of functions, whose differentiability structure is nonetheless quite similar to that of the Polya curve. In this talk I will explain that both functions are in fact members of the same general class of self-affine functions. In addition to discussing differentiability of functions in this class, I will also show how one can compute their pointwise Holder (or multifractal) spectrum. If time permits, I will briefly discuss a more recent extension of this work.
简介：Pieter Allaart, 美国North Texas大学数学系教授。研究方向：分形几何、动力系统、概率论。在Adv.Math., Trans.AMS, ETDS等期刊发表论文50余篇。