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SUMMARY:Yaar Solomon (Ben-Gurion university of the Negev)
DTSTART:20200629T120000Z
DTEND:20200629T130000Z
DTSTAMP:20260423T041354Z
UID:HSPETDS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HSPETDS/16/"
 >Bounded-displacement non-equivalence in substitution tilings</a>\nby Yaar
  Solomon (Ben-Gurion university of the Negev) as part of Horowitz seminar 
 on probability\, ergodic theory and dynamical systems\n\n\nAbstract\nGiven
  two Delone sets $Y$ and $Z$ in $R^d$ we study the existence of a bounded-
 displacement (BD) map between them\, namely a bijection $f$ from $Y$ to $Z
 $ so that the quantity $\\|y-f(y)\\|$\, $y\\in Y$\, is bounded. This notio
 n induces an equivalence relation on collections $X$ of Delone sets and we
  study the cardinality of BD($X$)\, a collection of all BD-class represent
 atives. In this talk we focus on sets $X$ of point sets that correspond to
  tilings in a substitution tiling space. We provide a sufficient condition
  under which |BD($X$)| is the continuum. In particular we show that\, in t
 he context of primitive substitution tilings\, |BD($X$)| can be greater th
 an $1$.\n
LOCATION:https://researchseminars.org/talk/HSPETDS/16/
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