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 2021Show all

2 papers · 1 filter

math.CA2021★ 1 cited

Stability and measurability of the modified lower dimension

Richárd Balka, Márton Elekes, Viktor Kiss

The lower dimension $dim_{L}$ is the dual concept of the Assouad dimension. As it fails to be monotonic, Fraser and Yu introduced the modified lower dimension $dim_{M L}$ by making…

math.CA2021

The range of dimensions of microsets

Richárd Balka, Márton Elekes, Viktor Kiss

We say that $E$ is a microset of the compact set $K \subset R^{d}$ if there exist sequences $λ_{n} \geq 1$ and $u_{n} \in R^{d}$ such that $(λ_{n} K + u_{n}) \cap [0, 1]^{d}$ conv…