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SUMMARY:Joaco Prandi (University of Waterloo)
DTSTART:20260113T130000Z
DTEND:20260113T140000Z
DTSTAMP:20260423T021347Z
UID:OWNS/159
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/159/">W
 hen the weak separation condition implies the generalize finite type in $\
 \mathbb{R}^d$</a>\nby Joaco Prandi (University of Waterloo) as part of One
  World Numeration seminar\n\n\nAbstract\nLet $S$ be an iterated function s
 ystem with full support. Under some restrictions on the allowable rotation
 s\, we will show that $S$ satisfies the weak separation condition if and o
 nly if it satisfies the generalized finite-type condition. To do this\, we
  will extend the notion of net intervals from $\\mathbb{R}$ to $\\mathbb{R
 }^d$. If time allows\, we will also use net intervals to calculate the loc
 al dimension of a self-similar measure with the finite-type condition and 
 full support. This talk is based on joint work with Kevin G. Hare.\n
LOCATION:https://researchseminars.org/talk/OWNS/159/
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