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

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Showing 2016Show all

3 papers · 1 filter

math.PR2016

Packing dimension of images and graphs of Gaussian random fields with drift

Richárd Balka

Let $X = {(X_{1} (t), \dots, X_{d} (t)) : t \in R^{n}}$ be a Gaussian random field in $R^{d}$ such that $X_{1}, \dots, X_{d}$ are independent, centered Gaussian random fields with co…

math.PR2016

Baum-Katz type theorems with exact threshold

Richárd Balka, Tibor Tómács

Let ${X_{n}}_{n \geq 1}$ be either a sequence of arbitrary random variables, or a martingale difference sequence, or a centered sequence with a suitable level of negative dependence…

math.CA2016

Dimensions of fibers of generic continuous maps

Richárd Balka

In an earlier paper Buczolich, Elekes and the author described the Hausdorff dimension of the level sets of a generic real-valued continuous function (in the sense of Baire categor…