Roland Speicher

Statistics and Probability · 2001–2015

A researcher in the Science corpus: 20 papers; trusts 60 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Statistics and Probability — 113 citations into it; #2,754 of 12,932 by trust here, #1,563 by citations
• Mathematical Physics — 100 citations into it; #964 of 8,562 by trust here, #585 by citations
• Geometry and Topology — 43 citations into it; #1,736 of 7,422 by trust here, #2,207 by citations
• Algebra and Number Theory — 27 citations into it
• Discrete Mathematics and Combinatorics — 23 citations into it; #672 of 2,017 by trust here, #204 by citations
• Applied Mathematics — 21 citations into it; #6,354 of 7,620 by trust here, #4,749 by citations
• Computational Theory and Mathematics — 16 citations into it; #10,161 of 12,182 by trust here, #9,804 by citations
• Management Science and Operations Research — 11 citations into it

Whom Roland Speicher trusts overall

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

1. D. Voiculescu
2. Benoît Collins
3. Uffe Haagerup
4. Greg W. Anderson
5. James A. Mingo
6. Serban Teodor Belinschi
7. Gennadiy P. Chistyakov
8. Alexandru Nica
9. T. Banica
10. Piotr Śniady

Who trusts Roland Speicher overall

1. Moritz Weber
2. Sven Raum
3. T. Banica
4. Pierre Tarrago
5. Benoît Collins
6. Wojciech Mlotkowski
7. Adam W. Marcus
8. Michael Brannan
9. Amaury Freslon
10. Serban Teodor Belinschi

Papers from Roland Speicher's perspective

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

1. Free Random Variables
2. CLT for linear spectral statistics of large-dimensional sample covariance matrices
3. Random matrices with complex Gaussian entries
4. Spectral Analysis of Large Dimensional Random Matrices
5. Random Matrices
6. On the distribution of the largest eigenvalue in principal components analysis
7. The semicircle law, free random variables, and entropy
8. Eigenvalues of large sample covariance matrices of spiked population models
9. Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants (Documenta Mathematica)
10. PATTERNS IN EIGENVALUES: THE 70TH JOSIAH WILLARD GIBBS LECTURE

Their papers

• Statistical eigen-inference from large Wishart matrices (2007) — 78 citations
• Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces (2004) — 146 citations
• Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants (2006) — 136 citations
• Second order freeness and fluctuations of random matrices: II. Unitary random matrices (2004) — 154 citations
• Operator-valued distributions. I. Characterizations of freeness (2001) — 77 citations
• Free Probability and Random Matrices (2014) — 220 citations
• A Noncommutative de Finetti Theorem: Invariance under Quantum Permutations is Equivalent to Freeness with Amalgamation (2008) — 95 citations
• Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints (2007) — 120 citations
• De Finetti theorems for easy quantum groups (2009) — 71 citations
• Classification results for easy quantum groups (2009) — 60 citations
• Eigenvalues of non-hermitian random matrices and Brown measure of non-normal operators: hermitian reduction and linearization method (2015) — 49 citations
• Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem (2013) — 134 citations
• Wigner chaos and the fourth moment (2010) — 89 citations
• The normal distribution is -infinitely divisible (2009) — 48 citations
• Liberation of orthogonal Lie groups (2008) — 208 citations
• Lectures on the Combinatorics of Free Probability (2006) — 1,171 citations
• Lectures on the Combinatorics of Free Probability: Transforms and models (2006) — 80 citations
• Lectures on the Combinatorics of Free Probability: The free commutator (2006) — 76 citations
• Strong Haagerup inequalities for free R-diagonal elements (2005) — 46 citations
• R-Cyclic Families of Matrices in Free Probability☆ (2001) — 55 citations