Bárány Balázs (BME): On the level set of the Okamoto's function

In this talk, we will study the graph and the level sets of Okamoto's one-parameter family of self-affine functions. We will determine the dimension of the graph, we will give a natural upper bound on the Hausdorff dimension of every level set, and we will show that it is attained Lebesgue almost everywhere for a typical choice of parameters (in a reasonable sense). This is a joint work with Dániel Rudolf Prokaj.

The zoom link to the talk is:

https://us06web.zoom.us/j/83312342576?pwd=muM3vzOQ4nIezupfbcmNRI28855u9x.1