Class information for:
Level 2: RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2388 4248 26.3 51%


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
13110 1                   BURST//CHIRAL RANDOM MATRIX THEORY//MICROSCOPIC SPECTRAL DENSITY 860
16175 1                   ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND 669
17331 1                   DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP 605
32107 1                   AVOIDABLE SETS//RANDOM FIBONACCI SEQUENCE//RANDOM FIBONACCI SEQUENCES 143

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 1254433 8% 49% 358
2 RANDOM MATRICES-THEORY AND APPLICATIONS journal 472074 2% 83% 79
3 RANDOM MATRIX authKW 351305 3% 38% 128
4 RANDOM MATRIX THEORY authKW 302670 4% 27% 155
5 LIMITING SPECTRAL DISTRIBUTION authKW 298151 1% 90% 46
6 STIELTJES TRANSFORM authKW 262439 2% 51% 71
7 ALTERNATING SIGN MATRICES authKW 232547 1% 83% 39
8 SAMPLE COVARIANCE MATRICES authKW 215811 1% 97% 31
9 SAMPLE COVARIANCE MATRIX authKW 183686 1% 61% 42
10 PLANE PARTITIONS authKW 182595 1% 71% 36

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 Physics, Mathematical 34450 25% 0% 1080
2 Statistics & Probability 33296 22% 1% 927
3 Mathematics 21242 31% 0% 1326
4 Mathematics, Applied 3916 13% 0% 558
5 Physics, Particles & Fields 2480 9% 0% 373
6 Physics, Multidisciplinary 1474 10% 0% 430
7 Physics, Fluids & Plasmas 346 3% 0% 117
8 Astronomy & Astrophysics 64 3% 0% 134
9 Computer Science, Information Systems 38 1% 0% 60
10 Physics, Nuclear 31 2% 0% 70

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 121730 1% 71% 24
2 BURST 109304 0% 89% 17
3 DOBRUSHIN MATH 91512 1% 58% 22
4 MATH 30651 32% 0% 1362
5 UMR 8626 25408 1% 9% 39
6 IPTH 22995 0% 80% 4
7 SERV PHYS THEOR SACLAY 22895 0% 25% 13
8 KLAS MOE 21559 0% 100% 3
9 MLV 21559 0% 100% 3
10 MARK KAC COMPLEX SYST 18216 1% 10% 26

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 472074 2% 83% 79
2 ELECTRONIC JOURNAL OF PROBABILITY 25923 1% 6% 61
3 PROBABILITY THEORY AND RELATED FIELDS 25454 2% 4% 91
4 JOURNAL OF MULTIVARIATE ANALYSIS 23779 3% 3% 109
5 JOURNAL OF COMBINATORIAL THEORY SERIES A 21763 2% 3% 100
6 COMMUNICATIONS IN MATHEMATICAL PHYSICS 20742 4% 2% 154
7 JOURNAL OF STATISTICAL PHYSICS 19816 3% 2% 148
8 ELECTRONIC COMMUNICATIONS IN PROBABILITY 19688 1% 6% 46
9 NATO SCIENCE SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY 17961 0% 50% 5
10 ELECTRONIC JOURNAL OF COMBINATORICS 16550 2% 3% 76

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 1254433 8% 49% 358 Search RANDOM+MATRICES Search RANDOM+MATRICES
2 RANDOM MATRIX 351305 3% 38% 128 Search RANDOM+MATRIX Search RANDOM+MATRIX
3 RANDOM MATRIX THEORY 302670 4% 27% 155 Search RANDOM+MATRIX+THEORY Search RANDOM+MATRIX+THEORY
4 LIMITING SPECTRAL DISTRIBUTION 298151 1% 90% 46 Search LIMITING+SPECTRAL+DISTRIBUTION Search LIMITING+SPECTRAL+DISTRIBUTION
5 STIELTJES TRANSFORM 262439 2% 51% 71 Search STIELTJES+TRANSFORM Search STIELTJES+TRANSFORM
6 ALTERNATING SIGN MATRICES 232547 1% 83% 39 Search ALTERNATING+SIGN+MATRICES Search ALTERNATING+SIGN+MATRICES
7 SAMPLE COVARIANCE MATRICES 215811 1% 97% 31 Search SAMPLE+COVARIANCE+MATRICES Search SAMPLE+COVARIANCE+MATRICES
8 SAMPLE COVARIANCE MATRIX 183686 1% 61% 42 Search SAMPLE+COVARIANCE+MATRIX Search SAMPLE+COVARIANCE+MATRIX
9 PLANE PARTITIONS 182595 1% 71% 36 Search PLANE+PARTITIONS Search PLANE+PARTITIONS
10 DETERMINANTAL POINT PROCESS 170086 1% 62% 38 Search DETERMINANTAL+POINT+PROCESS Search DETERMINANTAL+POINT+PROCESS

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 BEHREND, RE , (2013) MULTIPLY-REFINED ENUMERATION OF ALTERNATING SIGN MATRICES.ADVANCES IN MATHEMATICS. VOL. 245. ISSUE . P. 439 -499 81 95% 4
3 AKEMANN, G , IPSEN, JR , (2015) RECENT EXACT AND ASYMPTOTIC RESULTS FOR PRODUCTS OF INDEPENDENT RANDOM MATRICES.ACTA PHYSICA POLONICA B. VOL. 46. ISSUE 9. P. 1747 -1784 63 95% 11
4 WETTIG, T , VERBAARSCHOT, JJM , (2000) RANDOM MATRIX THEORY AND CHIRAL SYMMETRY IN QCD.ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE. VOL. 50. ISSUE . P. 343 -410 127 54% 177
5 AKEMAN, G , (2007) MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL.INTERNATIONAL JOURNAL OF MODERN PHYSICS A. VOL. 22. ISSUE 6. P. 1077-1122 75 82% 37
6 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
7 TAO, T , VU, V , (2015) RANDOM MATRICES: UNIVERSALITY OF LOCAL SPECTRAL STATISTICS OF NON-HERMITIAN MATRICES.ANNALS OF PROBABILITY. VOL. 43. ISSUE 2. P. 782 -874 41 93% 4
8 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
9 VERBAARSCHOT, JJM , (2000) RANDOMNESS ON THE LATTICE.NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. VOL. 90. ISSUE . P. 219 -226 62 93% 1
10 AKEMANN, G , DAMGAARD, PH , OSBORN, JC , SPLITTORFF, K , (2007) A NEW CHIRAL TWO-MATRIX THEORY FOR DIRAC SPECTRA WITH IMAGINARY CHEMICAL POTENTIAL.NUCLEAR PHYSICS B. VOL. 766. ISSUE 1-3. P. 34 -67 48 92% 21

Classes with closest relation at Level 2


Rank Class id link
1 1685 QUANTUM CHAOS//PHYSICS, MATHEMATICAL//NONLINEAR DYNAM SYST
2 1765 LOOP QUANTUM GRAVITY//CLASSICAL AND QUANTUM GRAVITY//PHYSICS, PARTICLES & FIELDS
3 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
4 2549 LATTICE GAUGE FIELD THEORIES//PHYSICS, PARTICLES & FIELDS//LATTICE QUANTUM FIELD THEORY
5 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
6 1244 FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS
7 2140 CONTACT PROCESS//FIRST PASSAGE PERCOLATION//PERCOLATION
8 706 PHYSICAL REVIEW E//PHYSICS, MATHEMATICAL//DRIVEN DIFFUSIVE SYSTEMS THEORY
9 1097 PHYSICS, MATHEMATICAL//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL//BETHE ANSATZ
10 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS

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