44 citations · 76 across the 6 of their papers we have counts for
13 papers
Random perfect information games
János Flesch, Arkadi Predtetchinski, Ville Suomala
The paper proposes a natural measure space of zero-sum perfect information games with upper semicontinuous payoffs. Each game is specified by the game tree, and by the assignment o…
Covering the Sierpiński carpet with tubes
Aleksi Pyörälä, Pablo Shmerkin, Ville Suomala +1
We show that non-trivial -invariant sets in , such as the Sierpiński carpet and the Sierpiński sponge, are tube-null, that is, they can be covered by a union of…
Intermediate value property for the Assouad dimension of measures
Ville Suomala
Hare, Mendivil, and Zuberman have recently shown that if is a compact subset of the reals and of non-zero Assouad dimension , then for all , supports…
The doubling metric and doubling measures
János Flesch, Arkadi Predtetchinski, Ville Suomala
We introduce the so--called doubling metric on the collection of non--empty bounded open subsets of a metric space. Given a subset of a metric space , the predecessor $U_{*}…
Fractal percolation and quasisymmetric mappings
Eino Rossi, Ville Suomala
We study the conformal dimension of fractal percolation and show that, almost surely, the conformal dimension of a fractal percolation is strictly smaller than its Hausdorff dimens…
Projections of Poisson cut-outs in the Heisenberg group and the visual -sphere
Laurent Dufloux, Ville Suomala
We study projectional properties of Poisson cut-out sets in non-Euclidean spaces. In the first Heisenbeg group, endowed with the Korányi metric, we show that the Hausdorff dime…