Class information for:
Level 1: RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//LIMITING SPECTRAL DISTRIBUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3500 1971 27.0 53%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
2388 2             RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX 4248
3500 1                   RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//LIMITING SPECTRAL DISTRIBUTION 1971

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 RANDOM MATRICES authKW 2027765 16% 42% 310
2 RANDOM MATRICES-THEORY AND APPLICATIONS journal 753944 3% 72% 68
3 LIMITING SPECTRAL DISTRIBUTION authKW 615056 2% 88% 45
4 STIELTJES TRANSFORM authKW 534355 4% 50% 69
5 RANDOM MATRIX authKW 480944 5% 30% 102
6 SAMPLE COVARIANCE MATRICES authKW 465199 2% 97% 31
7 RANDOM MATRIX THEORY authKW 431256 6% 22% 126
8 SAMPLE COVARIANCE MATRIX authKW 395987 2% 61% 42
9 WIGNER MATRIX authKW 315168 1% 88% 23
10 TRACY WIDOM DISTRIBUTION authKW 280850 2% 58% 31

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Statistics & Probability 49772 39% 0% 763
2 Physics, Mathematical 20091 28% 0% 560
3 Mathematics 6091 25% 0% 491
4 Mathematics, Applied 1254 11% 0% 220
5 Physics, Multidisciplinary 163 6% 0% 117
6 Computer Science, Information Systems 62 2% 0% 41
7 Physics, Fluids & Plasmas 62 2% 0% 38
8 Psychology, Mathematical 8 0% 0% 4
9 Physics, Particles & Fields 6 2% 0% 31
10 Social Sciences, Mathematical Methods 5 0% 0% 7

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 KLASMOE 262414 1% 71% 24
2 KLAS MOE 46472 0% 100% 3
3 MLV 46472 0% 100% 3
4 LMV UMR 8100 35200 0% 45% 5
5 IGM INFO 32796 0% 35% 6
6 FRANCOCHINOIS ENERGIE NUCL 32266 0% 42% 5
7 INTERDISCIPLINARY DATA SCI CONSORTIUM 30981 0% 100% 2
8 PROJET TREC 30981 0% 100% 2
9 ZENTRUM MATH M3 27655 0% 36% 5
10 EQUIPE STAT PROBABILITES 27534 0% 44% 4

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 RANDOM MATRICES-THEORY AND APPLICATIONS 753944 3% 72% 68
2 JOURNAL OF MULTIVARIATE ANALYSIS 49624 5% 3% 107
3 ELECTRONIC JOURNAL OF PROBABILITY 33229 2% 5% 47
4 PROBABILITY THEORY AND RELATED FIELDS 29817 3% 3% 67
5 ELECTRONIC COMMUNICATIONS IN PROBABILITY 26038 2% 5% 36
6 JOURNAL OF THEORETICAL PROBABILITY 24910 2% 4% 43
7 ANNALS OF PROBABILITY 24249 4% 2% 71
8 COMMUNICATIONS IN MATHEMATICAL PHYSICS 22927 6% 1% 110
9 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 18264 1% 8% 14
10 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 15596 3% 2% 55

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 RANDOM MATRICES 2027765 16% 42% 310 Search RANDOM+MATRICES Search RANDOM+MATRICES
2 LIMITING SPECTRAL DISTRIBUTION 615056 2% 88% 45 Search LIMITING+SPECTRAL+DISTRIBUTION Search LIMITING+SPECTRAL+DISTRIBUTION
3 STIELTJES TRANSFORM 534355 4% 50% 69 Search STIELTJES+TRANSFORM Search STIELTJES+TRANSFORM
4 RANDOM MATRIX 480944 5% 30% 102 Search RANDOM+MATRIX Search RANDOM+MATRIX
5 SAMPLE COVARIANCE MATRICES 465199 2% 97% 31 Search SAMPLE+COVARIANCE+MATRICES Search SAMPLE+COVARIANCE+MATRICES
6 RANDOM MATRIX THEORY 431256 6% 22% 126 Search RANDOM+MATRIX+THEORY Search RANDOM+MATRIX+THEORY
7 SAMPLE COVARIANCE MATRIX 395987 2% 61% 42 Search SAMPLE+COVARIANCE+MATRIX Search SAMPLE+COVARIANCE+MATRIX
8 WIGNER MATRIX 315168 1% 88% 23 Search WIGNER+MATRIX Search WIGNER+MATRIX
9 TRACY WIDOM DISTRIBUTION 280850 2% 58% 31 Search TRACY+WIDOM+DISTRIBUTION Search TRACY+WIDOM+DISTRIBUTION
10 EMPIRICAL SPECTRAL DISTRIBUTION 273139 1% 77% 23 Search EMPIRICAL+SPECTRAL+DISTRIBUTION Search EMPIRICAL+SPECTRAL+DISTRIBUTION

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.


Rank Reference # ref. in
cl.		 Shr. of ref. in
cl.		 Citations
1 PAUL, D , AUE, A , (2014) RANDOM MATRIX THEORY IN STATISTICS: A REVIEW.JOURNAL OF STATISTICAL PLANNING AND INFERENCE. VOL. 150. ISSUE . P. 1 -29 143 72% 7
2 MO, MY , (2012) RANK 1 REAL WISHART SPIKED MODEL.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 65. ISSUE 11. P. 1528 -1638 51 84% 17
3 LEE, JO , YIN, J , (2014) A NECESSARY AND SUFFICIENT CONDITION FOR EDGE UNIVERSALITY OF WIGNER MATRICES.DUKE MATHEMATICAL JOURNAL. VOL. 163. ISSUE 1. P. 117-173 39 98% 11
4 BOURGADE, P , ERDOS, L , YAU, HT , (2014) EDGE UNIVERSALITY OF BETA ENSEMBLES.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 332. ISSUE 1. P. 261 -353 41 87% 7
5 BAO, ZG , PAN, GM , ZHOU, W , (2015) UNIVERSALITY FOR THE LARGEST EIGENVALUE OF SAMPLE COVARIANCE MATRICES WITH GENERAL POPULATION.ANNALS OF STATISTICS. VOL. 43. ISSUE 1. P. 382 -421 37 93% 2
6 LEE, JO , SCHNELLI, K , STETLER, B , YAU, HT , (2016) BULK UNIVERSALITY FOR DEFORMED WIGNER MATRICES.ANNALS OF PROBABILITY. VOL. 44. ISSUE 3. P. 2349 -2425 38 90% 0
7 LUBINSKY, DS , (2016) AN UPDATE ON LOCAL UNIVERSALITY LIMITS FOR CORRELATION FUNCTIONS GENERATED BY UNITARY ENSEMBLES.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 12. ISSUE . P. - 42 81% 0
8 O'ROURKE, S , VU, V , WANG, K , (2016) EIGENVECTORS OF RANDOM MATRICES: A SURVEY.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 144. ISSUE . P. 361 -442 43 78% 0
9 KRIECHERBAUER, T , SCHUBERT, K , SCHULER, K , VENKER, M , (2015) GLOBAL ASYMPTOTICS FOR THE CHRISTOFFEL-DARBOUX KERNEL OF RANDOM MATRIX THEORY.MARKOV PROCESSES AND RELATED FIELDS. VOL. 21. ISSUE 3. P. 639 -694 37 86% 3
10 ERDOS, L , (2011) UNIVERSALITY OF WIGNER RANDOM MATRICES: A SURVEY OF RECENT RESULTS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 3. P. 507 -626 48 69% 25

Classes with closest relation at Level 1


Rank Class id link
1 13110 BURST//CHIRAL RANDOM MATRIX THEORY//MICROSCOPIC SPECTRAL DENSITY
2 17331 DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP
3 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
4 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS
5 30347 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM
6 9284 PAINLEVE EQUATIONS//ISOMONODROMIC DEFORMATIONS//PAINLEVE HIERARCHY
7 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
8 22718 FOR UNGSZENTRUM BIBOS//BIBOS//EUCLIDEAN GIBBS STATES
9 24654 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//RANDOM POLYNOMIALS
10 25909 SPARSE PRINCIPAL COMPONENT ANALYSIS//PRINCIPAL VARIABLES//SPARSE PCA

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