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Statut |
Confirmé |
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Série |
SEM-DARBOUX |
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Domaines |
hep-th |
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Date |
Jeudi 13 Mars 2025 |
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Heure |
11:00 |
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Institut |
LPTHE |
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Salle |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
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Nom de l'orateur |
Tarricone |
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Prenom de l'orateur |
Sofia |
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Addresse email de l'orateur |
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Institution de l'orateur |
IMJ-PRG |
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Titre |
Integrability of finite temperature sine and Airy kernels (and beyond) |
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Résumé |
Fermionic systems considered with certain class of potentials at zero temperature
and random matrix ensembles as GUE are known to share the same determinantal point
process structure and so in the ''large size limit'' to be governed by universal
objects : the Airy and sine kernels. In this talk we will first review the
integrable structure of such objects and their relation with Painlevé equations.
Then we will discuss some ''finite-temperature'' generalizations of these kernels,
coming from the same fermionic models when considered at positive temperature and
the generalizations of integrability results. Time permetting, we will discuss
other examples of integrable kernels, coming from random polymers models, that
have similar integrability features.
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
- DarbouxMarch25.pdf (756769 bytes)
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