O. Marchal

activity

20082022

most citedGaia Data Release 2. Summary of the contents and survey properties

8.6k citations · 12.1k across the 53 of their papers we have counts for

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Showing 2014 · math-phShow all

3 papers · 2 filters

math-ph2014

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 $u_{1}^{t} = e^{i t θ_{1}}, \dots, u_{N}^{t} = e^{i t θ_{N}}$ of $U^{t}$ where $U$ is a large $N \times N$ random unitary matrix and $t > 0$ .…

math-ph2014★ 11 cited

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…

math-ph2014★ 1 cited

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 $β$ Ensembles and the large $N$ expansion of th…