4 papers
The range of dimensions of microsets
Richárd Balka, Márton Elekes, Viktor Kiss
We say that is a microset of the compact set if there exist sequences and such that conv…
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…
The structure of random automorphisms of the random graph
Udayan B. Darji, Márton Elekes, Kende Kalina +2
We give a complete description of the size of the conjugacy classes of the automorphism group of the random graph with respect to Christensen's Haar null ideal. It is shown that ev…
The structure of random automorphisms of the rational numbers
Udayan B. Darji, Márton Elekes, Kende Kalina +2
In order to understand the structure of the "typical" element of an automorphism group, one has to study how large the conjugacy classes of the group are. For the case when typical…