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Keyword

large random matrices

Description: Random matrices with large dimensions, studied in probability and mathematical physics to understand limiting properties of their spectra and related quantities.
OpenAlex ID: keywords/large-random-matrices
Lectures on the Combinatorics of Free Probability
2006 · Alexandru Nica, Roland Speicher · Cambridge University Press eBooks · 1,053
Eigenvalue Spectra of Random Matrices for Neural Networks
2006 · Kanaka Rajan, L. F. Abbott · Physical Review Letters · 320
The stability–complexity relationship at age 40: a random matrix perspective
2015 · Stefano Allesina, Si Tang · Population Ecology · 273
Concentration of the Spectral Measure for Large Matrices
2000 · Alice Guionnet, Ofer Zeitouni · Electronic Communications in Probability · 239
Deterministic Equivalents for Certain Functionals of Large Random Matrices
2005 · Walid Hachem, Philippe Loubaton, et al. · 226
Deterministic equivalents for certain functionals of large random matrices
2007 · Walid Hachem, Philippe Loubaton, et al. · The Annals of Applied Probability · 201
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On the free convolution with a semi-circular distribution
1997 · Philippe Biane · Indiana University Mathematics Journal · 181
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Convergence Rate of Expected Spectral Distributions of Large Random Matrices. Part I. Wigner Matrices
1993 · Z. D. Bai · The Annals of Probability · 152
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Scaling results on the sum capacity of cellular networks with MIMO links
2006 · D. Aktas, M.N. Bacha, et al. · IEEE Transactions on Information Theory · 138
The local relaxation flow approach to universality of the local statistics for random matrices
2012 · László Erdős, Benjamin Schlein, et al. · Annales de l Institut Henri Poincaré Probabilités et Statistiques · 135
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MMSE analysis of certain large isometric random precoded systems
2003 · M. Debbah, W. Hachem, et al. · IEEE Transactions on Information Theory · 120
On asymptotics of eigenvectors of large sample covariance matrix
2012 · Z. D. Bai, B. Q. Miao, et al. · 115
A Correlation Analysis Method for Power Systems Based on Random Matrix Theory
2015 · Xinyi Xu, Xing He, et al. · IEEE Transactions on Smart Grid · 111
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Convergence Rate of Expected Spectral Distributions of Large Random Matrices. Part II. Sample Covariance Matrices
1993 · Z. D. Bai · The Annals of Probability · 103
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A refinement of Wigner's semicircle law in a neighborhood of the spectrum edge for random symmetric matrices
1998 · Ya. G. Sinai, A. B. Soshnikov · Functional Analysis and Its Applications · 94
Integrated voice/data call admission control for wireless DS-CDMA systems
2002 · S. Singh, V. Krishnamurthy, et al. · IEEE Transactions on Signal Processing · 88
Eigenvalue distributions of large Euclidean random matrices for waves in random media
2011 · S E Skipetrov, A Goetschy · Journal of Physics A Mathematical and Theoretical · 84
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Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails
2004 · Alexander Soshnikov · Electronic Communications in Probability · 83
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How big can the commutator of two matrices be and how big is it typically?
2005 · Albrecht Böttcher, David Wenzel · Linear Algebra and its Applications · 75
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Tail inequalities for sums of random matrices that depend on the intrinsic dimension
2012 · Daniel Hsu, Sham Kakade, et al. · Electronic Communications in Probability · 72
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The Spectral Radius of Large Random Matrices
1986 · Stuart Geman · The Annals of Probability · 69
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Free Probability for Probabilists
2010 · Philippe Biane · WORLD SCIENTIFIC eBooks · 63
Fixed Points of Generalized Approximate Message Passing With Arbitrary Matrices
2016 · Sundeep Rangan, Philip Schniter, et al. · IEEE Transactions on Information Theory · 62
A Novel Data-Driven Situation Awareness Approach for Future Grids—Using Large Random Matrices for Big Data Modeling
2018 · Xing He, Lei Chu, et al. · IEEE Access · 61
Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half‐Plane
2016 · Oskari Ajanki, Torben Krüger, et al. · Communications on Pure and Applied Mathematics · 61
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Works count: 373
Citation count: 6,445
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