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UID:20250811T012248EDT-91978Cp39D@132.216.98.100
DTSTAMP:20250811T052248Z
DESCRIPTION:Title: Spacing statistics for lattice points on circles.\n\nAbs
 tract: In this talk I will describe the distribution of lattice points lyi
 ng on circles. A striking result of Kátai and Környei shows that along a d
 ensity one subsequence of admissible radii the angles of lattice points ly
 ing on circles are uniformly distributed in the limit as the radius tends 
 to infinity. Their result goes further\, proving that uniform distribution
  persists even at very small scales\, meaning that the angles are uniforml
 y distributed within quickly shrinking arcs. A more refined problem is to 
 understand how the lattice points are spaced together at the local scale\,
  e.g. given a circle containing N lattice points determine the number of g
 aps between consecutive angles of size less than 1/N.  I will discuss some
  recent joint work with Pär Kurlberg in which we compute the nearest neigh
 bor spacing of the angles along a density one subsequence of admissible ra
 dii.\n\nFor Zoom meeting please contact: martinez [at] crm.umontreal.ca\n
DTSTART:20220224T180000Z
DTEND:20220224T193000Z
SUMMARY:Steve Lester (King's College)
URL:/mathstat/channels/event/steve-lester-kings-colleg
 e-337861
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