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SUMMARY:Wayne Lewis (University of Hawai`i\, Honolulu Community College)
DTSTART:20260124T160000Z
DTEND:20260124T173000Z
DTSTAMP:20260423T003256Z
UID:APRC/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/APRC/8/">No 
 Spectral Leakage: The Core Mechanism of Quant APRC.</a>\nby Wayne Lewis (U
 niversity of Hawai`i\, Honolulu Community College) as part of Ultraproduct
 s in Number Theory\n\nLecture held in Haiku.\n\nAbstract\nOur guiding prin
 ciple is $\\textit{no spectral leakage into the Chebotarev tail}$.\nFinite
  Chebotarev cylinder data already determine the global state—there is no
  hidden mass at infinity.\nIn this lecture I state the compatibility input
  (Lemma 7.10) and give a detailed proof of the hinge step (Prop. 7.11): a 
 projective family of Chebotarev cylinder marginals extends to a unique nor
 mal state\, hence $\\omega_\\delta(f_m)=\\lim_{R\\to\\infty}\\omega_\\delt
 a(f_{m\,R})$ for $f_{m\,R}\\downarrow f_m$.\n
LOCATION:https://researchseminars.org/talk/APRC/8/
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