講座主題:Existence of general recurrent fractal interpolation functions
專家姓名:蕭建慈
工作單位:浙江大學(xué)
講座時間:2021年10月16日 9:00-11:00
講座地點:數(shù)學(xué)院大會議室
主辦單位:煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要:
The notion of recurrent fractal interpolation functions(RFIFs) was introduced by Barnsley. Roughly speaking, the graph of an RFIF is the invariant set of a recurrent iterated function system on R^2. We generalise the definition of RFIFs so that iterated functions in the recurrent system need not be contractive with respect to the first variable. We obtain the box dimensions of all self-affine RFIFs in this general setting.
主講人介紹:
蕭建慈,,浙江大學(xué)博士,,主要研究方向:分形分析,分形插值函數(shù),,盒維數(shù)等,。