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UID:20260926T213536EDT-8275JmgoKU@132.216.98.100
DTSTAMP:20260927T013536Z
DESCRIPTION:Title:Asymptotics of the Resistance of the Critical Series-Para
 llel Graph via Parabolic PDE Theory\n\nAbstract: I will discuss recent wor
 k on the connection between a certain class of recursive distributional eq
 uations (RDE's)\, proposed independently by Gurel-Gurevich and Derrida\, a
 nd parabolic PDE's.  The class of RDE's in question includes those satisfi
 ed by the graph distance and the resistance on the series-parallel graph\,
  a random hierarchical lattice introduced by Hambly and Jordan (2004).  Th
 e RDE's are expected to undergo a phase transition.  In the critical setti
 ng\, I will discuss limit theorems that follow from a PDE-based analysis o
 f CDF's.  In the sub/supercritical setting\, there will be a tantalizing c
 onnection to the theory of reaction-diffusion equations\, particularly the
  Fisher-KPP equation.\n
DTSTART:20260924T193000Z
DTEND:20260924T203000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY: Peter Morfe (Penn State)
URL:https://www.mcgill.ca/mathstat/channels/event/peter-morfe-penn-state-37
 4692
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