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SUMMARY:Samuel Roth (Silesian University)
DTSTART:20200515T081500Z
DTEND:20200515T094500Z
DTSTAMP:20260423T021753Z
UID:DSSUJ/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/2/">Sp
 ecial alpha-limit sets on the interval</a>\nby Samuel Roth (Silesian Unive
 rsity) as part of Dynamical systems seminar at the Jagiellonian University
 \n\nLecture held in 1016.\n\nAbstract\nFor a noninvertible dynamical syste
 m (X\,f) a point x can have many\npossible “pasts.” Special alpha limi
 t sets were defined to contain all\nthe limit points of all those backward
  orbits\, and it turns out that for\ninterval maps they have many good pro
 perties. For example\, a point\nbelongs to its own special alpha limit set
  (this is like “backward\nrecurrence”) if and only if it is in the att
 racting center of the interval\nmap [Hero\, 1992].\n\nOne of the last pape
 rs by Sergei Kolyada proposes several conjectures\nand open problems about
  topological properties of special-alpha limit\nsets. This talk will addre
 ss those problems. The project is joint work\nwith Jana Hantáková.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/2/
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