48 citations · 80 across the 5 of their papers we have counts for
5 papers
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…
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…
Small cycle structure for words in conjugation invariant random permutations
Mohamed Slim Kammoun, Mylène Maïda
We study the cycle structure of words in several random permutations. We assume that the permutations are independent and that their distribution is conjugation invariant, with a g…
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…
Central limit theorem for the heat kernel measure on the unitary group
Thierry Lévy, Mylène Maïda
We prove that for a finite collection of real-valued functions on the group of complex numbers of modulus 1 which are derivable with Lipschitz continuous derivati…