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 2014Show all

3 papers · 1 filter

math.CA2014

Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps

Richárd Balka, Udayan B. Darji, Márton Elekes

The notions of shyness and prevalence generalize the property of being zero and full Haar measure to arbitrary (not necessarily locally compact) Polish groups. The main goal of the…

math.PR2014★ 7 cited

Increasing subsequences of random walks

Omer Angel, Richárd Balka, Yuval Peres

Given a sequence of $n$ real numbers ${S_{i}}_{i \leq n}$ , we consider the longest weakly increasing subsequence, namely $i_{1} < i_{2} < \dots < i_{L}$ with $S_{i_{k}} \leq S_{i_{k + 1}}$ and $L$ …

math.PR2014★ 7 cited

Restrictions of Brownian motion

Richárd Balka, Yuval Peres

Let ${B (t) : 0 \leq t \leq 1}$ be a linear Brownian motion and let $dim$ denote the Hausdorff dimension. Let $α > \frac{1}{2}$ and $1 \leq β \leq 2$ . We prove that, almost surely, t…