Benoît Collins

Statistics and Probability · Communications in Mathematical Physics · 2002–2018

A researcher in the Science corpus: 13 papers; trusts 44 researchers and is trusted by 32 researchers here, as inferred from the citation graph.

Subfields

• Statistics and Probability — 70 citations into it; #1,464 of 12,932 by trust here, #1,662 by citations
• Mathematical Physics — 67 citations into it; #579 of 8,562 by trust here, #711 by citations
• Geometry and Topology — 33 citations into it; #553 of 7,422 by trust here, #763 by citations
• Discrete Mathematics and Combinatorics — 30 citations into it; #1,283 of 2,017 by trust here, #812 by citations
• Algebra and Number Theory — 26 citations into it; #746 of 2,864 by trust here, #948 by citations
• Atomic and Molecular Physics, and Optics — 20 citations into it
• Artificial Intelligence — 18 citations into it
• Statistical and Nonlinear Physics — 17 citations into it

Whom Benoît Collins trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Alice Guionnet
2. M. B. Hastings
3. Uffe Haagerup
4. T. Banica
5. Charles Bordenave
6. James A. Mingo
7. Reinhard F. Werner
8. Patrick M. Hayden
9. Joel Friedman
10. Laurent Massoulié

Who trusts Benoît Collins overall

1. Roland Speicher
2. T. Banica
3. R. Gurau
4. Alice Guionnet
5. Michel Ledoux
6. Nicholas Hunter-Jones
7. Stephen J. Curran
8. Piotr Śniady
9. Phil Saad
10. Tiefeng Jiang

Papers from Benoît Collins's perspective

Ordered by how strongly the researchers Benoît Collins trusts endorse each paper. Same corpus, a different order for every researcher.

1. CLT for linear spectral statistics of large-dimensional sample covariance matrices
2. Random Matrices
3. Random matrices with complex Gaussian entries
4. Brown's Spectral Distribution Measure for R-Diagonal Elements in Finite von Neumann Algebras☆
5. A Fourier view on the R-transform and related asymptotics of spherical integrals
6. Free Random Variables
7. Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants (Documenta Mathematica)
8. Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces
9. Spectral Analysis of Large Dimensional Random Matrices
10. Equivalence of Additivity Questions in Quantum Information Theory

Their papers

• Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group (2004) — 788 citations
• Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants (2006) — 136 citations
• Product of random projections, Jacobi ensembles and universality problems arising from free probability (2004) — 132 citations
• Free Bessel Laws (2007) — 119 citations
• Eigenvalues of random lifts and polynomials of random permutation matrices (2018) — 116 citations
• Random matrix techniques in quantum information theory (2015) — 140 citations
• The Connes embedding property for quantum group von Neumann algebras (2014) — 53 citations
• Generating random density matrices (2010) — 196 citations
• A Linearization of Connes' Embedding Problem (2007) — 64 citations
• Integration over quantum permutation groups (2006) — 73 citations
• Quantum permutation groups: a survey (2006) — 76 citations
• Asymptotics of unitary and orthogonal matrix integrals (2006) — 56 citations
• Moments and cumulants of polynomial random variables on unitarygroups, the Itzykson-Zuber integral, and free probability (2002) — 438 citations