Class information for:
Level 1: RANDOM MATRICES//LIMITING SPECTRAL DISTRIBUTION//STIELTJES TRANSFORM

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
12 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, INFORMATION SYSTEMS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE 1181119
23 3       STATISTICS & PROBABILITY//STAT//COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 119395
1602 2             LASSO//BAYESIAN NETWORKS//VARIABLE SELECTION 7368
6272 1                   RANDOM MATRICES//LIMITING SPECTRAL DISTRIBUTION//STIELTJES TRANSFORM 1533

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RANDOM MATRICES authKW 1223928 14% 28% 214
2 LIMITING SPECTRAL DISTRIBUTION authKW 934410 3% 91% 50
3 STIELTJES TRANSFORM authKW 852263 5% 54% 77
4 RANDOM MATRICES-THEORY AND APPLICATIONS journal 685187 4% 56% 60
5 SAMPLE COVARIANCE MATRICES authKW 639619 2% 94% 33
6 SAMPLE COVARIANCE MATRIX authKW 578138 3% 63% 45
7 EMPIRICAL SPECTRAL DISTRIBUTION authKW 528606 2% 86% 30
8 RANDOM MATRIX authKW 515895 6% 27% 94
9 RANDOM MATRIX THEORY authKW 510494 8% 20% 123
10 WIGNER MATRIX authKW 422884 2% 86% 24

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 60490 48% 0% 740
2 Physics, Mathematical 12932 26% 0% 397
3 Mathematics 1589 15% 0% 233
4 Physics, Fluids & Plasmas 433 5% 0% 71
5 Physics, Multidisciplinary 417 9% 0% 140
6 Mathematics, Applied 369 7% 0% 114
7 Computer Science, Information Systems 126 3% 0% 46
8 Social Sciences, Mathematical Methods 69 1% 0% 15
9 Mathematics, Interdisciplinary Applications 27 1% 0% 22
10 Mathematical & Computational Biology 23 1% 0% 16

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 KLASMOE 386004 2% 72% 26
2 KLAS MOE 61672 0% 100% 3
3 BURST 53007 0% 37% 7
4 MLV 46252 0% 75% 3
5 IGM INFO 43525 0% 35% 6
6 INTERDISCIPLINARY DATA SCI CONSORTIUM 41114 0% 100% 2
7 PHYS MAT CONDENSEE LPTMC 41114 0% 100% 2
8 PROJET TREC 41114 0% 100% 2
9 STAT MATH UNIT 37046 2% 6% 29
10 KLAS 36031 1% 16% 11

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RANDOM MATRICES-THEORY AND APPLICATIONS 685187 4% 56% 60
2 JOURNAL OF MULTIVARIATE ANALYSIS 65755 7% 3% 108
3 ELECTRONIC JOURNAL OF PROBABILITY 32268 3% 4% 42
4 ELECTRONIC COMMUNICATIONS IN PROBABILITY 29629 2% 4% 35
5 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 26709 1% 9% 15
6 PROBABILITY THEORY AND RELATED FIELDS 23472 3% 2% 52
7 JOURNAL OF THEORETICAL PROBABILITY 19837 2% 3% 34
8 ANNALS OF PROBABILITY 19008 4% 2% 55
9 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 12527 2% 2% 28
10 ANNALS OF APPLIED PROBABILITY 8392 2% 2% 26

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RANDOM MATRICES 1223928 14% 28% 214 Search RANDOM+MATRICES Search RANDOM+MATRICES
2 LIMITING SPECTRAL DISTRIBUTION 934410 3% 91% 50 Search LIMITING+SPECTRAL+DISTRIBUTION Search LIMITING+SPECTRAL+DISTRIBUTION
3 STIELTJES TRANSFORM 852263 5% 54% 77 Search STIELTJES+TRANSFORM Search STIELTJES+TRANSFORM
4 SAMPLE COVARIANCE MATRICES 639619 2% 94% 33 Search SAMPLE+COVARIANCE+MATRICES Search SAMPLE+COVARIANCE+MATRICES
5 SAMPLE COVARIANCE MATRIX 578138 3% 63% 45 Search SAMPLE+COVARIANCE+MATRIX Search SAMPLE+COVARIANCE+MATRIX
6 EMPIRICAL SPECTRAL DISTRIBUTION 528606 2% 86% 30 Search EMPIRICAL+SPECTRAL+DISTRIBUTION Search EMPIRICAL+SPECTRAL+DISTRIBUTION
7 RANDOM MATRIX 515895 6% 27% 94 Search RANDOM+MATRIX Search RANDOM+MATRIX
8 RANDOM MATRIX THEORY 510494 8% 20% 123 Search RANDOM+MATRIX+THEORY Search RANDOM+MATRIX+THEORY
9 WIGNER MATRIX 422884 2% 86% 24 Search WIGNER+MATRIX Search WIGNER+MATRIX
10 CIRCULAR LAW 317163 1% 86% 18 Search CIRCULAR+LAW Search CIRCULAR+LAW

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1



rank cluster_id2 link
1 12589 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
2 8946 LAST PASSAGE PERCOLATION//AIRY PROCESS//TRACY WIDOM DISTRIBUTION
3 12356 MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS
4 14854 GAUSSIAN GRAPHICAL MODEL//PRECISION MATRIX//GRAPHICAL LASSO
5 21539 SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT OPERATORS
6 14893 ECONOPHYSICS//STOCK NETWORK//FINANCIAL CORRELATIONS
7 22295 RANDOM POLYNOMIALS//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
8 23680 SPARSE PRINCIPAL COMPONENT ANALYSIS//SPARSE PCA//LIB QUFU NORMAL UNIV
9 4000 NANOELECT MAT//QUANTUM CHAOS//NICHTLINEARE DYNAM
10 31455 STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA

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