R. Balka

activity

20112026

most citedTopological Hausdorff dimension and level sets of generic continuous functions on fractals

30 citations · 63 across the 24 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.PR2015

Uniform dimension results for fractional Brownian motion

Richárd Balka, Yuval Peres

Kaufman's dimension doubling theorem states that for a planar Brownian motion ${B (t) : t \in [0, 1]}$ we have $$\mathbb{P}(\dim \mathbf{B}(A)=2\dim A \textrm{ for all } A\s…

math.PR2015

Restrictions of Hölder continuous functions

Omer Angel, Richárd Balka, András Máthé +1

For $0 < α < 1$ let $V (α)$ denote the supremum of the numbers $v$ such that every $α$ -Hölder continuous function is of bounded variation on a set of Hausdorff dimension $v$ . Kahane and…

math.CA2015

Dimensions of graphs of prevalent continuous maps

Richárd Balka

Let $K$ be an uncountable compact metric space and let $C (K, R^{d})$ denote the set of continuous maps $f : K \to R^{d}$ endowed with the maximum norm. The goal of…