From the 1 of 21 papers with an AI index.
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- Centre National de la Recherche ScientifiqueFR7 papers
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21 papers
Bernoulli determinants and cuspidal subgroups
François Brunault
The paper derives an explicit formula for the size of the rational cuspidal class group of the modular curve X₁(N) using a determinant involving the second Bernoulli polynomial, an…
Dimensional reduction for anyons in the average-field approximation
Qiyun Yang
We study abelian anyons at the mean-field/almost-bosonic level, whose dynamics are governed by the Chern-Simons-Schrödinger system. We consider the dimensional reduction of this 2…
Perfect kernel of generalized Baumslag-Solitar groups
Sasha Bontemps
In this article, we study the space of subgroups of generalized Baumslag-Solitar groups (GBS groups), that is, groups acting cocompactly on an oriented tree without inversion and w…
Semi-classical limit of an attractive Fermi gas in one or two dimensions
Thomas Gamet
We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each ot…
Full large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices
Nicholas A. Cook, Raphael Ducatez, Alice Guionnet
We establish precise upper-tail asymptotics and large deviation principles for the rightmost eigenvalue of Wigner matrices with sub-Gaussian entries. In contrast to the case…
Differentially Private Best-Arm Identification
Achraf Azize, Marc Jourdan, Aymen Al Marjani +1
Best Arm Identification (BAI) problems are progressively used for data-sensitive applications, such as designing adaptive clinical trials, tuning hyper-parameters, and conducting u…