Ievgen Bondarenko

most citedOn Lebesgue measure of integral self-affine sets

7 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.MG2010★ 7 cited

On Lebesgue measure of integral self-affine sets

Ievgen Bondarenko, Rostyslav Kravchenko

Let $A$ be an expanding integer $n \times n$ matrix and $D$ be a finite subset of $Z^{n}$ . The self-affine set $T = T (A, D)$ is the unique compact set satisfying the equality $A(T)=\cup_…

math.GR2010

Finite generation of iterated wreath products

Ievgen Bondarenko

Let $(G_{n}, X_{n})$ be a sequence of finite transitive permutation groups with uniformly bounded number of generators. We prove that the infinitely iterated permutational wreath produc…