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Matrix models, Toeplitz determinants and recurrence times for powers of random unitary matrices
Olivier Marchal
The purpose of this article is to study the eigenvalues of where is a large random unitary matrix and .…
Painlev'e 2 equation with arbitrary monodromy parameter, topological recursion and determinantal formulas
Kohei Iwaki, Olivier Marchal
The goal of this article is to prove that the determinantal formulas of the Painlev'e 2 system identify with the correlation functions computed from the topological recursion on th…
Gaia on-board metrology: basic angle and best focus
A. Mora, M. Biermann, A. G. A. Brown +21
The Gaia payload ensures maximum passive stability using a single material, SiC, for most of its elements. Dedicated metrology instruments are, however, required to carry out two f…
Elements of proof for conjectures of Witte and Forrester about the combinatorial structure of Gaussian Beta Ensembles
Olivier Marchal
The purpose of the article is to provide partial proofs for two conjectures given by Witte and Forrester in "Moments of the Gaussian Ensembles and the large expansion of th…