Title:  Some random self-similar sets on the line 

Speaker:   Károly Simon  (Professor)

Time:  Apr 08, 2026,16:00-17:00

Venue: Room 141, Building No. 4, Wushan Campus

Abstract: 

We prove theorems about a family of random self-similar sets with overlapping construction on the line. We apply these theorems to estimate the Hausdorff dimension, the Lebesgue measure and prove the existence of interior points of some projections of random self-similar carpets, such as the random right-angled Sierpiński gasket, the random Sierpiński carpet and the random Menger sponge. The new results are based on papers co-authored with Vilma Orgoványi (Budapest).