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UID:514b611cca477aa96f4287d4c466a3e0
CATEGORIES:Number Theory Seminar
CREATED:20210920T114622
SUMMARY:Pair correlation of monomial sequences modulo 1 
LOCATION:zoom
DESCRIPTION:Abstract: Fix $alpha, theta > 0$, and consider the sequence $(alpha n^th
 eta mod 1)_{n>0}$. Since the seminal work of Rudnick-Sarnak (1998), and 
 due to the Berry-Tabor conjecture in quantum chaos, the fine-scale properti
 es of these dilated mononomial sequences have been intensively studied. In 
 this talk, I will present a recent result (joint with Sourmelidis and Techn
 au) showing that for $theta le 1/3$, and $alpha > 0$, the pair correlati
 on function is Poissonian. Moreover, I will discuss ongoing work to extend 
 this result to higher correlations.\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract:&nbsp;</strong>Fix $alpha, theta &gt; 0$, and consider 
 the sequence $(alpha n^theta mod 1)_{n&gt;0}$. Since the seminal work of Ru
 dnick-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 w
 ith Sourmelidis and Technau) showing that for $theta le 1/3$, and $alpha &g
 t; 0$, the pair correlation function is Poissonian. Moreover, I will discus
 s ongoing work to extend this result to higher correlations.</p>
CONTACT:Chris Lutsko (Rutgers)
X-EXTRAINFO:for zoom link, email RegularLabs.EmailProtector.unCloak("ep_47335928");
DTSTAMP:20260827T043223
DTSTART;TZID=America/New_York:20210921T143000
DTEND;TZID=America/New_York:20210921T153000
SEQUENCE:0
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