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UID:20260413T160737EDT-0942Z2rprb@132.216.98.100
DTSTAMP:20260413T200737Z
DESCRIPTION:Title: Annealed Potts models on rank-1 random graphs\n\nAbstrac
 t: In this talk\, we look at the annealed ferromagnetic $q$-state Potts mo
 del\, on sparse rank-1 random graphs\, $q \geq 3$. After motivating the pr
 oblem and looking a little at the Ising case for the sake of comparison\, 
 we will discuss our main results and time permitting\, some proof techniqu
 es. Our results include convergence of the pressure per particle for a rat
 her general class of weights\, no phase transition for infinite variance w
 eights — the system is always ordered for any positive temperature\, for f
 inite-variance weights — a proof of the first order phase transition at th
 e critical temperature under a quite general condition\, and for the speci
 al case of Pareto weights with power law exponent $\tau$ — a `phase transi
 tion smoothening' — the phase transition is first order when $\tau \geq 4$
 \, while when $\tau \in (3\,4)$\, it is first order when $\tau \in (\tau(q
 )\,4)\, while it is second order for $\tau \in (3\, \tau(q)]$. We end with
  a discussion on future extensions and open problems. This is based on joi
 nt work with Cristian Giardinà (Modena)\, Claudio Giberti (Modena)\, Remco
  van der Hofstad (Eindhoven) and Guido Janssen (Eindhoven).\n
DTSTART:20251127T163000Z
DTEND:20251127T173000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Neeladri Maitra (UIUC)
URL:https://www.mcgill.ca/channels/channels/event/neeladri-maitra-uiuc-3688
 01
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