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Keyword

eigenvalue density

Description: A density function describing how eigenvalues of a matrix or operator are distributed, especially in random matrix theory and spectral analysis.
OpenAlex ID: keywords/eigenvalue-density
Noise Dressing of Financial Correlation Matrices
1999 · Laurent Laloux, Pierre Cizeau, et al. · Physical Review Letters · 1,244
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Statistical Ensembles of Complex, Quaternion, and Real Matrices
1965 · Jean Ginibre · Journal of Mathematical Physics · 1,059
Distribution of eigenfrequencies for the wave equation in a finite domain
1970 · R Balian, C Bloch · Annals of Physics · 739
The spectrum edge of random matrix ensembles
1993 · P.J. Forrester · Nuclear Physics B · 517
Random Matrix Theory and Financial Correlations
2000 · LAURENT LALOUX, PIERRE CIZEAU, et al. · International Journal of Theoretical and Applied Finance · 421
Solution of the Schrödinger equation in terms of classical paths
1974 · R. Balian, C. Bloch · Annals of Physics · 381
Multiple scattering theory in condensed materials
1972 · P. Lloyd, P.V. Smith · Advances In Physics · 349
Statistical properties of many-particle spectra
1975 · K.K Mon, J.B French · Annals of Physics · 287
On the eigenvalue distribution of genetic and phenotypic dispersion matrices: Evidence for a nonrandom organization of quantitative character variation
1984 · G. P. Wagner · Journal of Mathematical Biology · 269
Local Semicircle Law and Complete Delocalization for Wigner Random Matrices
2008 · László Erdős, Benjamin Schlein, et al. · Communications in Mathematical Physics · 255
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Multimatrix models and tri-Sasaki Einstein spaces
2011 · Christopher P. Herzog, Igor R. Klebanov, et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 236
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Non-hermitian random matrix theory: Method of hermitian reduction
1997 · Joshua Feinberg, A. Zee · Nuclear Physics B · 227
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Spectral Statistics of Erdős-Rényi Graphs I: Local Semicircle Law
2011 · László Erdős, Antti Knowles, et al. · 209
On the density of Eigenvalues of a random matrix
1960 · M.L. Mehta, M. Gaudin · Nuclear Physics · 201
Spectral statistics of Erdős–Rényi graphs I: Local semicircle law
2013 · László Erdős, Antti Knowles, et al. · The Annals of Probability · 199
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How Many Eigenvalues of a Random Matrix are Real?
1994 · Alan Edelman, Eric Kostlan, et al. · Journal of the American Mathematical Society · 186
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Untitled
2003 · N. Ercolani, K. McLaughlin · International Mathematics Research Notices · 185
Universal singularity at the closure of a gap in a random matrix theory
1998 · E. Brézin, S. Hikami · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 172
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Wegner Estimate and Level Repulsion for Wigner Random Matrices
2009 · László Erdős, Benjamin Schlein, et al. · International Mathematics Research Notices · 169
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Universal scaling of the tail of the density of eigenvalues in random matrix models
1991 · Mark J. Bowick, Edouard Brézin · Physics Letters B · 167
Sloppy-Model Universality Class and the Vandermonde Matrix
2006 · Joshua J. Waterfall, Fergal P. Casey, et al. · Physical Review Letters · 164
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Random matrices and information theory
1968 · R. Balian · Il Nuovo Cimento B · 160
Cavity approach to the spectral density of sparse symmetric random matrices
2008 · Tim Rogers, Isaac Pérez Castillo, et al. · Physical Review E · 150
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Statistical properties of many-particle spectra
1979 · Akhilesh Pandey · Annals of Physics · 150
Eigenvalue statistics of random real matrices
1991 · Nils Lehmann, Hans-Jürgen Sommers · Physical Review Letters · 146
Works count: 559
Citation count: 15,380
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