Antti Knowles
Statistics and Probability · 2008–2021
A researcher in the Science corpus: 17 papers; trusts 54 researchers and is trusted by 43 researchers here, as inferred from the citation graph.
Subfields
- Statistics and Probability — 188 citations into it; #697 of 12,932 by trust here, #514 by citations
- Mathematical Physics — 144 citations into it; #187 of 8,562 by trust here, #94 by citations
- Discrete Mathematics and Combinatorics — 114 citations into it; #85 of 2,017 by trust here, #163 by citations
- Artificial Intelligence — 21 citations into it
- Algorithms & Complexity — 16 citations into it
- Geometry and Topology — 16 citations into it; #1,084 of 7,422 by trust here, #554 by citations
- Computational Theory and Mathematics — 13 citations into it
- Probabilistic & Bayesian Methods — 13 citations into it
Whom Antti Knowles trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- L. Erdős
- Horng-Tzer Yau
- Terence Tao
- Florent Benaych-Georges
- Jun Yin
- S. P'ech'e
- B. Schlein
- Jinho Baik
- Sourav Chatterjee
- Van H. Vu
Who trusts Antti Knowles overall
- Xiucai Ding
- Natesh S. Pillai
- L. Erdős
- Jun Yin
- Ji Oon Lee
- Horng-Tzer Yau
- Z. Bao
- Terence Tao
- Fan Yang
- P. Bourgade
Papers from Antti Knowles's perspective
Ordered by how strongly the researchers Antti Knowles trusts endorse each paper. Same corpus, a different order for every researcher.
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
- Random Matrices
- CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES
- Eigenvalues of large sample covariance matrices of spiked population models
- On the distribution of the largest eigenvalue in principal components analysis
- Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices
- A Note on Universality of the Distribution of the Largest Eigenvalues in Certain Sample Covariance Matrices
- The Largest Eigenvalue of Rank One Deformation of Large Wigner Matrices
- A generalization of the Lindeberg principle
- Central limit theorems for eigenvalues in a spiked population model
Their papers
- Anisotropic local laws for random matrices (2014) — 224 citations
- The Isotropic Semicircle Law and Deformation of Wigner Matrices (2011) — 192 citations
- Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues (2011) — 291 citations
- Spectral statistics of Erdős–Rényi graphs I: Local semicircle law (2011) — 347 citations
- Eigenvector distribution of Wigner matrices (2011) — 138 citations
- Delocalization and Diffusion Profile for Random Band Matrices (2012) — 140 citations
- Isotropic local laws for sample covariance and generalized Wigner matrices (2013) — 202 citations
- Averaging Fluctuations in Resolvents of Random Band Matrices (2012) — 146 citations
- The local semicircle law for a general class of random matrices (2012) — 230 citations
- On the principal components of sample covariance matrices (2014) — 165 citations
- Spectral radii of sparse random matrices (2017) — 124 citations
- Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs (2017) — 91 citations
- Lectures on the local semicircle law for Wigner matrices (2016) — 145 citations
- Extremal eigenvalues of critical Erdős–Rényi graphs (2021) — 56 citations
- Extremal eigenvalues of critical Erd\H{o}s-R\'enyi graphs (2019) — 8 citations
- Mean-Field Dynamics: Singular Potentials and Rate of Convergence (2009) — 210 citations
- On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction (2008) — 161 citations