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math.LO2021
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^…
math.LO2018
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…
math.LO2018
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…