Gaps in the sequence square root n mod 1

Speaker: Keivan Mallahi-Karai

Date: Mon, Oct 3, 2022

Location: University of Utah, Online

Conference: University of Utah Seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific


In this talk I will present some of aspects of the proof of a theorem of Elkies and McMullen (Duke Math Journal, 2004) on the asymptotic distribution of the gap sizes for the finite sequence ( √n (mod 1) : 1 ≤ n ≤ N ) as N goes to infinity. The proof relies, among other things, on tools from homogenous dynamics and relates the problem to one in the geometry of numbers.

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