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 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20261111T180737Z
DTSTART:20261123T140000Z
SUMMARY:Dynamical Systems and Analysis Seminar - Rhiannon Dougall
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}miu-mwcfly3
 y-gnba6j
DESCRIPTION:Speaker: Rhiannon Dougall (Durham University)\n\nTitle: Relat
 ive tau\, Expanders\, and decay of correlations for certain expanding ma
 ps\n\nAbstract: Expander graphs are characterized as being "highly conne
 cted". Another way think about this is: a sequence of k-regular expander
  graphs have fast mixing for the simple random walk. We see this phenome
 na in other places: the "geodesic flow" dynamics associated to certain c
 ongruence covers of $\\mathbb{H}^2/PSL(2\,Z)$ have exponential decay of 
 correlations (uniform in the covers)\, and this can be seen as being rel
 ated to the expander property for the associated Cayley graphs.\nThe pre
 vious two examples one has some nice structures: self-adjoint operators 
 and representation theory. Does one still expect good mixing behaviour f
 or analogous extensions of maps with “hyperbolic” behaviour? I will cons
 ider this problem for dynamics driven by 1. A subshift of finite type\, 
 or 2. An expanding interval map.\nThe problem is (surely?) interesting b
 ut the arguments are also nice for how they gather adjacent concepts mat
 hematics.\n\nRoom: Frank Adams 1\n\nFurther information: https://persona
 lpages.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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