Seminars & Colloquia Calendar
Pair correlation of monomial sequences modulo 1
Chris Lutsko (Rutgers)
Location: zoom
Date & time: Tuesday, 21 September 2021 at 2:30PM - 3:30PM
Abstract: Fix $alpha, theta > 0$, and consider the sequence $(alpha n^theta mod 1)_{n>0}$. Since the seminal work of Rudnick-Sarnak (1998), and due to the Berry-Tabor conjecture in quantum chaos, the fine-scale properties of these dilated mononomial sequences have been intensively studied. In this talk, I will present a recent result (joint with Sourmelidis and Technau) showing that for $theta le 1/3$, and $alpha > 0$, the pair correlation function is Poissonian. Moreover, I will discuss ongoing work to extend this result to higher correlations.
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