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 2014 · math.PRShow all

2 papers · 2 filters

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…