14 citations · 39 across the 17 of their papers we have counts for
5 papers · 1 filter
Games characterizing limsup functions and Baire class 1 functions
Márton Elekes, János Flesch, Viktor Kiss +3
We consider a real-valued function defined on the set of infinite branches of a countably branching pruned tree . The function is said to be a \textit{limsup functio…
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 has length . J. Mycielski asked if the measure theoretic du…
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 there exists a compact set such that the projection of onto each…
The devil's staircase for chip-firing on random graphs and on graphons
Viktor Kiss, Lionel Levine, Lilla Tóthmérész
We study the behavior of the activity of the parallel chip-firing upon increasing the number of chips on an Erdős--Rényi random graph. We show that in various situations the result…
Random continuum and Brownian motion
Viktor Kiss, Sławomir Solecki
We describe a probabilistic model involving iterated Brownian motion for constructing a random chainable continuum. We show that this random continuum is indecomposable.