Title: Level sets of prevalent real functions

Speaker:   Antti Käenmäki (Professor)

Time: Thursday, Sep 11, 2025,15:00-16:00

Venue: Room 3A02, Building No. 37, Wushan Campus

Abstract: 

We study the level sets of prevalent H\”older and Weierstrass functions. For a prevalent \alpha-H\”older and \alpha-Weierstrass functions on the unit interval, we show that the upper Minkowski dimension of every level set is bounded from above by 1-\alpha, and Lebesgue positively many level sets have Hausdorff dimension equal to 1-\alpha.