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UID:6797@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20200221T110000
DTEND;TZID=Europe/Paris:20200221T120000
DTSTAMP:20241120T202011Z
URL:https://www.i2m.univ-amu.fr/evenements/complexity-of-julia-sets-core-e
 ntropy-and-biaccessibility-dimension-dierk-schleicher/
SUMMARY:Dierk Schleicher (I2M\, Aix-Marseille Université): Complexity of J
 ulia sets\, core entropy\, and biaccessibility dimension
DESCRIPTION:Dierk Schleicher: We discuss two concepts of how to measure how
  “complicated” Julia sets of polynomials are. The first\, investigated
  among others by Stas Smirnov\, measures how many points of the Julia set 
 are “endpoints”. The other\, introduced by William Thurston under the 
 name of “core entropy"\, concerns the entropy of the dynamics restricted
  to interesting invariant subsets of the Julia set. These two concepts are
  closely related.\nWe present research projects (in cooperation with two o
 f our undergraduate students) that investigate and improve upon both of th
 ese topics. The central idea is to interpret these questions in terms of s
 ymbolic dynamics and in particular in the combinatorics of words.\n&nbsp\;
 \n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Dierk_Schleicher.jpg
CATEGORIES:Groupe de travail,Séminaire,Pythéas Fogg,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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DTSTART:20191027T020000
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