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SUMMARY:Alex Rutar (St Andrews)
DTSTART:20231017T180000Z
DTEND:20231017T190000Z
DTSTAMP:20260423T041112Z
UID:OARS/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/51/">As
 souad-type dimensions: finer information on scaling and homogeneity</a>\nb
 y Alex Rutar (St Andrews) as part of OARS Online Analysis Research Seminar
 \n\n\nAbstract\nThe Assouad dimension is a notion of dimension which captu
 res the worst-case scaling of a set at all locations and all scales. Howev
 er\, in many situations the Assouad dimension measures scaling in a way wh
 ich is too coarse\, and quantifying the precise resolution at which larger
 -than-average scaling occurs has been important in applications. In this t
 alk\, I will give an introduction and overview of recent work on variation
 s of the Assouad dimension. I will also touch on some recent applications 
 in the literature including: large deviations of branching processes\, smo
 othness of iterated function system attractors\, quasi-conformal distortio
 n of sets\, and $L^p$-improving properties of maximal operators with restr
 icted dilation sets.\n
LOCATION:https://researchseminars.org/talk/OARS/51/
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