1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2022
On microsets, Assouad dimension and lower dimension of random fractals, and Furstenberg's homogeneity
Yiftach Dayan
We study the collection of microsets of randomly constructed fractals, which in this paper, are referred to as Galton-Watson fractals. This is a model that generalizes Mandelbrot p…
math.DS2020★ 1 cited
Random walks on tori and normal numbers in self similar sets
Yiftach Dayan, Arijit Ganguly, Barak Weiss
We study random walks on a -dimensional torus by affine expanding maps whose linear parts commute. Assuming an irrationality condition on their translation parts, we prove that…
math.PR2018
Diophantine approximations on random fractals
Yiftach Dayan
We show that fractal percolation sets in almost surely intersect every hyperplane absolutely winning (HAW) set with full Hausdorff dimension. In particular, if $E\…