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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20240214T115240Z
DTSTART:20240205T140000Z
DTEND:20240205T150000Z
SUMMARY:Dynamical Systems and Analysis Seminar - Dan Rust
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}p2q2-lrzcze
rf-yf15fk
DESCRIPTION:Speaker: Dan Rust (The Open University)\n\nTitle: Random Piso
t substitutions and their Rauzy fractals\n \nAbstract: The Pisot conject
ure is a long-standing open question concerning the dynamical spectrum o
f subshifts associated with Pisot substitutions. One formulation of the
conjecture can be stated in terms of the so-called Rauzy fractal for the
substitution\, which is the attractor of a graph-directed iterated func
tion system that can be written purely in terms of data coming from the
substitution. Random substitutions generalise substitutions and can be u
sed to interpolate between them\, allowing properties of one substitutio
n to inform us of properties of another. In this talk\, I'll introduce R
auzy fractals for Pisot random substitutions and results concerning natu
ral measures that can be defined on the attractor. By studying these mea
sures\, we're able to prove an analogue of a multi-tiling result for Rau
zy fractals but in the random setting\, hinting at potential new tools f
or tackling the Pisot conjecture using probabilistic methods.\n\nRoom: F
rank Adams 1\n\nFurther information: 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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