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SUMMARY:Tushar Das (University of Wisconsin-La Crosse)
DTSTART:20220131T143000Z
DTEND:20220131T154500Z
DTSTAMP:20260423T021347Z
UID:BODS/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/24/">Di
 mension theory for infinite-alphabet conformal iterated function system li
 mit sets</a>\nby Tushar Das (University of Wisconsin-La Crosse) as part of
  Bremen Online Dynamics Seminar\n\n\nAbstract\nStudying the extremely deli
 cate geometric-measure-theoretic properties of dynamical limit sets is oft
 en an endeavor beset with myriad challenges. In this vein\, we focus on th
 e dimension-theoretic study of continued fraction Cantor sets -- a rich se
 am inaugurated by the work of Jarník and Besicovitch in the 1920s. I will
  report on two projects about such fascinating fractals. The first conside
 rs small perturbations of a conformal iterated function system (CIFS)\; wh
 ile the second resolves two recent questions posed by Chousionis\, Leykekh
 man\, and Urbański regarding the dimension spectrum of a CIFS (i.e. the s
 et of all Hausdorff dimensions of its various subsystem limit sets). We ho
 pe to present several interesting problems and directions that await resol
 ution and explorations by the brilliant Bremen dynamics group 🙂\n
LOCATION:https://researchseminars.org/talk/BODS/24/
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