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SUMMARY:Drew Ash (Albion College)
DTSTART:20221008T180000Z
DTEND:20221008T190000Z
DTSTAMP:20260423T035408Z
UID:Dynamics/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Dynamics/11/
 ">Introduction to Bratteli Diagrams and Bounded Topological Speedups</a>\n
 by Drew Ash (Albion College) as part of Little school dynamics\n\n\nAbstra
 ct\nGiven a dynamical system $(X\,T)$\, one can define a speedup\nof $(X\,
 T)$ as another dynamical system $S: X → X$ where $S= T^{p(·)}$\nfor som
 e $p: X → Z^+$. In this talk\, we will focus on bounded\ntopological spe
 edups of minimal Cantor systems. Specifically\, we\nrequire that our “ju
 mp function” $p$ be bounded and hence continuous.\nOur motivating questi
 on is: What\, if anything\, can be preserved with\nthe added structure of 
 p being bounded? To do so\, we introduce\nKakutani-Rokhlin towers and Brat
 teli diagrams as ways of visualizing\nthe dynamics of minimal Cantor syste
 ms. Then we will illustrate a\nnovel construction of a Bratteli diagram fo
 r $(X\,S)$ given a Bratteli\ndiagram for $(X\,T)$. We will conclude the ta
 lk with an brief\napplication of this constructions as well as discuss var
 ious open\nproblems inspired by this construction. The work presented is j
 oint\nwork with Andrew Dykstra and Michelle LeMasurier\, both of Hamilton\
 nCollege.\n
LOCATION:https://researchseminars.org/talk/Dynamics/11/
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