Class information for:
Level 1: RANDOM MATRICES//SAMPLE COVARIANCE MATRICES//TRACY WIDOM DISTRIBUTION

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
2687 2100 27.0 51%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
2544 3291 RANDOM MATRICES//KAC RICE FORMULA//SAMPLE COVARIANCE MATRICES

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 RANDOM MATRICES Author keyword 112 37% 12% 245
2 SAMPLE COVARIANCE MATRICES Author keyword 72 93% 1% 27
3 TRACY WIDOM DISTRIBUTION Author keyword 51 79% 2% 33
4 LIMITING SPECTRAL DISTRIBUTION Author keyword 49 79% 1% 31
5 AIRY PROCESS Author keyword 35 89% 1% 16
6 EMPIRICAL SPECTRAL DISTRIBUTION Author keyword 35 81% 1% 21
7 STIELTJES TRANSFORM Author keyword 33 45% 3% 55
8 RANDOM MATRIX Author keyword 27 27% 4% 87
9 WIGNER MATRIX Author keyword 25 77% 1% 17
10 LINEAR EIGENVALUE STATISTICS Author keyword 21 90% 0% 9

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 RANDOM MATRICES 112 37% 12% 245 Search RANDOM+MATRICES Search RANDOM+MATRICES
2 SAMPLE COVARIANCE MATRICES 72 93% 1% 27 Search SAMPLE+COVARIANCE+MATRICES Search SAMPLE+COVARIANCE+MATRICES
3 TRACY WIDOM DISTRIBUTION 51 79% 2% 33 Search TRACY+WIDOM+DISTRIBUTION Search TRACY+WIDOM+DISTRIBUTION
4 LIMITING SPECTRAL DISTRIBUTION 49 79% 1% 31 Search LIMITING+SPECTRAL+DISTRIBUTION Search LIMITING+SPECTRAL+DISTRIBUTION
5 AIRY PROCESS 35 89% 1% 16 Search AIRY+PROCESS Search AIRY+PROCESS
6 EMPIRICAL SPECTRAL DISTRIBUTION 35 81% 1% 21 Search EMPIRICAL+SPECTRAL+DISTRIBUTION Search EMPIRICAL+SPECTRAL+DISTRIBUTION
7 STIELTJES TRANSFORM 33 45% 3% 55 Search STIELTJES+TRANSFORM Search STIELTJES+TRANSFORM
8 RANDOM MATRIX 27 27% 4% 87 Search RANDOM+MATRIX Search RANDOM+MATRIX
9 WIGNER MATRIX 25 77% 1% 17 Search WIGNER+MATRIX Search WIGNER+MATRIX
10 LINEAR EIGENVALUE STATISTICS 21 90% 0% 9 Search LINEAR+EIGENVALUE+STATISTICS Search LINEAR+EIGENVALUE+STATISTICS

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 EXPONENTIAL WEIGHTS 158 69% 6% 136
2 SAMPLE COVARIANCE MATRICES 98 64% 5% 96
3 WIGNER RANDOM MATRICES 87 86% 2% 44
4 SEMICIRCLE LAW 77 89% 2% 34
5 EXTERNAL SOURCE 62 73% 2% 47
6 RANDOM MATRICES 62 26% 10% 202
7 GAUSSIAN RANDOM MATRICES 62 80% 2% 39
8 DIMENSIONAL RANDOM MATRICES 61 61% 3% 66
9 AIRY PROCESS 61 95% 1% 20
10 PEARCEY PROCESS 61 95% 1% 20

Journals

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results 2013 11 58 38%
Random matrix theory in statistics: A review 2014 1 185 70%
Universal randomness 2011 12 38 42%
Random matrix theory and the sixth Painleve equation 2006 11 17 71%
Density of states for GUE through supersymmetric approach 2004 4 16 44%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 DOBRUSHIN MATH 18 57% 1.0% 21
2 KLASMOE 17 63% 0.8% 17
3 EQUIPE STAT PROBABILITES 3 50% 0.2% 4
4 FRANCOCHINOIS ENERGIE NUCL 2 44% 0.2% 4
5 KLAS MOE 1 100% 0.1% 2
6 THEORET DYNAM 1 13% 0.5% 10
7 CLAY MATH 1 40% 0.1% 2
8 UMR8050 1 25% 0.1% 3
9 MATH P PAINLEVE 1 33% 0.1% 2
10 LIU BIE JU MATH SCI 1 11% 0.3% 7

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000222091 BURST//CHIRAL RANDOM MATRIX THEORY//BAND DOMINATED OPERATOR
2 0.0000133876 FREE PROBABILITY//FREE ENTROPY//FREE CONVOLUTION
3 0.0000106037 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM
4 0.0000098500 MEROMORPHIC APPROXIMATION//NIKISHIN SYSTEMS//BAKER GAMMEL WILLS CONJECTURE
5 0.0000095869 PAINLEVE EQUATIONS//PAINLEVE EQUATION//ISOMONODROMIC DEFORMATIONS
6 0.0000077959 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//NUMBER OF REAL ZEROS
7 0.0000077011 HYDRODYNAMIC LIMIT//TAGGED PARTICLE//EXCLUSION PROCESS
8 0.0000072866 DRIVEN DIFFUSIVE SYSTEMS THEORY//ZERO RANGE PROCESSES//TASEP
9 0.0000069432 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//MONOTONE TRIANGLES
10 0.0000068664 HERMITE FEJER INTERPOLATION//PAL TYPE INTERPOLATION//ERDOS WEIGHTS