科学研究
报告题目:

Dimension estimates for C^1 iterated function systems

报告人:

丰德军 教授(香港中文大学)

报告时间:

报告地点:

2021欧洲杯买球平台官网东北楼四楼报告厅(404)

报告摘要:

In this talk, we consider dimensional properties of the attractors of nonlinear and nonconformal iterated function systems (IFS) on R^d. We introduce a generalized transversality condition (GTC) for parameterized families of C^1 IFSs, and show that if the GTC is satisfied, then the Hausdorff and box-counting dimensions of the attractor of a typical IFS are given by the singularity dimension. Moreover, we verify the GTC for some parametrized families of C^1 IFSs. This is based on joint work with Karoly Simon.