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 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20261105T153410Z
DTSTART:20261109T140000Z
DTEND:20261109T150000Z
SUMMARY:Dynamical Systems and Analysis Seminar - Dan Rust
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}fi0-mw3phi0
 x-742hjp
DESCRIPTION:Speaker: Dan Rust (Open University)\n\nTitle: Substitution dy
 namical systems on compact alphabets\n\nAbstract: Substitution subshifts
  over finite alphabets are some of the simplest and best-known dynamical
  systems with a huge amount of literature devoted to them. In contrast\,
  substitutions on infinite alphabets have been far less well-studied. In
  this talk\, I'll discuss the development of a framework for studying ce
 rtain classes of these substitutions where one imposes a topology on the
  alphabet with respect to which the substitution is continuous. When tha
 t topology is compact and Hausdorff\, there is a robust theory of their 
 dynamics that can be developed\, which mirrors the theory for finite alp
 habets\, but with some important distinctions that I will highlight. Imp
 ortantly\, Perron-Frobenius theory is no longer sufficient to study inva
 riant measures\, and so the theory of positive operators on Banach latti
 ces needs to be used instead. I'll also discuss some recent progress on 
 the specific case of when the alphabet is countable\, which can make som
 e of these problems more tractable.\n\nThis is joint work with Neil Mani
 bo\, Jamie Walton and Raphael Henry.\n\nRoom: Frank Adams 1\n\nFurther i
 nformation: https://personalpages.manchester.ac.uk/staff/yotam.smilansky
 /dynamics_analysis
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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