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.

Meeting ID: 852 4277 3200
Passcode: 103121