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math-ph2025
The central heat trace on large compact classical groups
Thibaut Lemoine, Mylène Maïda
We study the large- asymptotics of the central trace of the heat kernel on compact classical groups. For every classical family $G_N\subset \mathrm{GL}_N(\C)$, we prove a full l…
math-ph2024
Gaussian measure on the dual of , random partitions, and topological expansion of the partition function
Thibaut Lemoine, Mylène Maïda
We study a Gaussian measure with parameter on the dual of the unitary group of size : we prove that a random highest weight under this measure is the coupling of two…
math-ph2016★ 48 cited
Concentration for Coulomb gases and Coulomb transport inequalities
Djalil Chafai, Adrien Hardy, Mylène Maïda
We study the non-asymptotic behavior of Coulomb gases in dimension two and more. Such gases are modeled by an exchangeable Boltzmann-Gibbs measure with a singular two-body interact…