66 citations · 175 across the 28 of their papers we have counts for
6 papers · 1 filter
Generic isomorphism classes of abelian groups
Udayan B. Darji, Márton Elekes, Tamás Kátay +2
We prove that the universal solenoid is the generic (in the sense of Baire category) connected compact metrizable abelian group. We also settle the dual problem in the sense of Pon…
A note on derivatives, expansions and -ranks
Udayan B. Darji, Felipe García-Ramos
-ranks are a natural tool for studying coanalytic sets in descriptive set theory. In the book "Classical descriptive set theory", Kechris provided a technique to build $Π_1^…
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…
The structure of random automorphisms of countable structures
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. When typical is meant in…
The structure of random homeomorphisms
Udayan B. Darji, Márton Elekes, Kende Kalina +2
In order to understand the structure of the "typical" element of a homeomorphism group, one has to study how large the conjugacy classes of the group are. When typical means generi…