V. Kiss

activity

20142021

most citedChip-firing games on Eulerian digraphs and NP-hardness of computing the rank of a divisor on a graph

14 citations · 39 across the 17 of their papers we have counts for

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4 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…

math.CA2020

Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms

Richárd Balka, Márton Elekes, Viktor Kiss +1

S. Banach pointed out that the graph of the generic (in the sense of Baire category) element of $Homeo ([0, 1])$ has length $2$ . J. Mycielski asked if the measure theoretic du…

math.CA2020

Compact sets with large projections and nowhere dense sumset

Richárd Balka, Márton Elekes, Viktor Kiss +2

We answer a question of Banakh, Jabłońska and Jabłoński by showing that for $d \geq 2$ there exists a compact set $K \subseteq R^{d}$ such that the projection of $K$ onto each…