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SUMMARY:Emmanuel Guitter (IPhT)
DTSTART:20230213T100000Z
DTEND:20230213T110000Z
DTSTAMP:20260423T021110Z
UID:IPHT-PHM/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IPHT-PHM/16/
 ">Hamiltonian paths on random bicubic maps and KPZ</a>\nby Emmanuel Guitte
 r (IPhT) as part of Séminaire de physique mathématique IPhT\n\nLecture h
 eld in Salle Claude Itzykson\, Bât. 774\, Orme des Merisiers.\n\nAbstract
 \nThe enumeration of Hamiltonian paths on random bicubic maps is a very si
 mply stated combinatorial problem that still awaits an exact solution. In 
 this talk\, I will present estimates of configuration exponents for the as
 ymptotics of ensembles of such Hamiltonian paths with possible defects\, a
 s obtained from extrapolations of exact enumerations for finite sizes. I w
 ill then compare these measured exponents with theoretical predictions bas
 ed on the Knizhnik\, Polyakov\, Zamolodchikov (KPZ) relations applied to c
 lassical dimensions for fully packed loops on the honeycomb lattice. I wil
 l show that a naive use of the KPZ relations does not reproduce the measur
 ed exponents but that a simple modification of a parameter in their applic
 ation can eventually correct the observed discrepancy. I will also show th
 at a similar modification is needed to reproduce via the KPZ formulas some
  exactly known exponents for the closely related problem of fully packed u
 nweighted loops on random planar bicubic maps. \nThis presentation is base
 d on joint work with Philippe Di Francesco\, Bertrand Duplantier and Olivi
 er Golinelli.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/16/
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