Poissonian pair correlation — Anirban Mukhopadhyay (Institute of Mathematical Science)Séminaire « Arithmétique »
For a sequence of reals in (0,1], pair correlation statistics studies the distribution of their gaps. Most arithmetically interesting sequence is expected to have a gap distribution similar to a random sequence. Such results are known in many cases for almost all sequences, although proving for most individual sequences remains challenging. In this lecture, we will survey some of the results including a joint work with Tanmoy Bera and Mithun Das where we look at these questions in higher dimensions.