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UID:news2004@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260316T164125
DTSTART;TZID=Europe/Zurich:20260319T141500
SUMMARY:Number Theory Seminar: Lucas Kaufmann (University of Orléans)
DESCRIPTION:Title: Equidistribution of periodic points for endomorphisms of
  P^k\\r\\nAbstract: Equidistribution phenomena are naturally present in se
 veral branches of mathemematics. The usual picture is that a sequence of p
 oints on a space X defined in some natural way always converge to a given 
 limit distribution (a probability measure on X). In the case of dynamical 
 systems\, two natural choices are given by the iterated  pre-images of a 
 given point or periodic points of period tending to infinity.\\r\\nIn the 
 holomorphic world\,  it is known since the works of Lyubich in dimension 
 1 and Briend-Duval in any dimension that the periodic points of a holomorp
 hic endomorphism of P^k equidisitribute towards its equilibrium measure. 
  Arithmetic versions also exist (Ullmo-Zhang\,  Baker Rumely\, Favre- Ri
 vera-Letelier\, Chamber-Loir\, Yuan-Zhang\, etc).\\r\\nIn this talk\, I wi
 ll discuss  results concerning the speed of convergence in the above theo
 rems in the holomorphic category. This is a joint work with H. de Thélin 
 and T.-C. Dinh.\\r\\nSeminarraum 05.002\, Spiegelgasse 5
X-ALT-DESC:<h2>Title: Equidistribution of periodic points for endomorphisms
  of P^k</h2>\n<p>Abstract: Equidistribution phenomena are naturally presen
 t in several branches of mathemematics. The usual picture is that a sequen
 ce of points on a space X defined in some natural way always converge to a
  given limit distribution (a probability measure on X). In the case of dyn
 amical systems\, two natural choices are given by the iterated &nbsp\;pre-
 images of a given point or periodic points of period tending to infinity.<
 /p>\n<p>In the holomorphic world\, &nbsp\;it is known since the works of L
 yubich in dimension 1 and Briend-Duval in any dimension that the periodic 
 points of a holomorphic endomorphism of P^k equidisitribute towards its eq
 uilibrium measure. &nbsp\;Arithmetic versions also exist (Ullmo-Zhang\, &n
 bsp\;Baker Rumely\, Favre- Rivera-Letelier\, Chamber-Loir\, Yuan-Zhang\, e
 tc).</p>\n<p>In this talk\, I will discuss &nbsp\;results concerning the s
 peed of convergence in the above theorems in the holomorphic category. Thi
 s is a joint work with H. de Thélin and T.-C. Dinh.</p>\n<p>Seminarraum 0
 5.002\, Spiegelgasse 5</p>
DTEND;TZID=Europe/Zurich:20260319T151500
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