The partition function of β-ensembles with complex potentials
Date(s) : 02/12/2025 iCal
14h30 - 15h30
The asymptotic behaviour of the partition function
is one of the central questions of statistical mechanics.
In our work we consider this problem
when the external potential is complex valued
and for a particular statistical-mechanical model,
a β-ensemble.
We prove a full 1/N expansion
of the logarithm of the partition function,
the so-called free energy.
Our method can be regarded
as an infinite dimensional version
of the method of steepest descent
for contour integrals.
This is joint work
with A. Guionnet and K. Kozlowski.
Emplacement
I2M Saint-Charles - Salle de séminaire
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