Class information for:
Level 2: RANDOM MATRICES//KAC RICE FORMULA//SAMPLE COVARIANCE MATRICES

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
2544 3291 27.1 52%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
509 18614 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Classes in level below (level 1)


ID, lev. below Publications Label for level below
2687 2100 RANDOM MATRICES//SAMPLE COVARIANCE MATRICES//TRACY WIDOM DISTRIBUTION
13219 788 BURST//CHIRAL RANDOM MATRIX THEORY//BAND DOMINATED OPERATOR
26050 218 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//NUMBER OF REAL ZEROS
27594 185 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM

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 133 40% 8% 265
2 KAC RICE FORMULA Author keyword 80 100% 1% 25
3 SAMPLE COVARIANCE MATRICES Author keyword 72 93% 1% 27
4 TRACY WIDOM DISTRIBUTION Author keyword 51 79% 1% 33
5 LIMITING SPECTRAL DISTRIBUTION Author keyword 49 79% 1% 31
6 RANDOM MATRIX Author keyword 39 32% 3% 102
7 RANDOM ALGEBRAIC POLYNOMIALS Author keyword 38 93% 0% 14
8 NUMBER OF REAL ZEROS Author keyword 38 86% 1% 19
9 STIELTJES TRANSFORM Author keyword 35 46% 2% 57
10 AIRY PROCESS Author keyword 35 89% 0% 16

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 133 40% 8% 265 Search RANDOM+MATRICES Search RANDOM+MATRICES
2 KAC RICE FORMULA 80 100% 1% 25 Search KAC+RICE+FORMULA Search KAC+RICE+FORMULA
3 SAMPLE COVARIANCE MATRICES 72 93% 1% 27 Search SAMPLE+COVARIANCE+MATRICES Search SAMPLE+COVARIANCE+MATRICES
4 TRACY WIDOM DISTRIBUTION 51 79% 1% 33 Search TRACY+WIDOM+DISTRIBUTION Search TRACY+WIDOM+DISTRIBUTION
5 LIMITING SPECTRAL DISTRIBUTION 49 79% 1% 31 Search LIMITING+SPECTRAL+DISTRIBUTION Search LIMITING+SPECTRAL+DISTRIBUTION
6 RANDOM MATRIX 39 32% 3% 102 Search RANDOM+MATRIX Search RANDOM+MATRIX
7 RANDOM ALGEBRAIC POLYNOMIALS 38 93% 0% 14 Search RANDOM+ALGEBRAIC+POLYNOMIALS Search RANDOM+ALGEBRAIC+POLYNOMIALS
8 NUMBER OF REAL ZEROS 38 86% 1% 19 Search NUMBER+OF+REAL+ZEROS Search NUMBER+OF+REAL+ZEROS
9 STIELTJES TRANSFORM 35 46% 2% 57 Search STIELTJES+TRANSFORM Search STIELTJES+TRANSFORM
10 AIRY PROCESS 35 89% 0% 16 Search AIRY+PROCESS Search AIRY+PROCESS

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 168 70% 4% 139
2 ZERO VIRTUALITY 161 91% 2% 68
3 SAMPLE COVARIANCE MATRICES 98 64% 3% 96
4 SPECTRUM EDGE 89 92% 1% 35
5 WIGNER RANDOM MATRICES 87 86% 1% 44
6 RANDOM MATRICES 78 29% 7% 224
7 SEMICIRCLE LAW 77 89% 1% 34
8 EIGENVALUE CORRELATIONS 70 89% 1% 32
9 GAUSSIAN RANDOM MATRICES 68 82% 1% 40
10 EXTERNAL SOURCE 67 75% 1% 48

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 47%
Matrix models and QCD with chemical potential 2007 36 91 78%
Random matrix theory and chiral symmetry in QCD 2000 164 225 56%
Factorization of correlation functions and the replica limit of the Toda lattice equation 2004 66 119 55%
Random matrices close to Hermitian or unitary: overview of methods and results 2003 77 102 44%
Random matrix theory in statistics: A review 2014 1 185 70%
Universal randomness 2011 12 38 45%
Random matrix theory and the sixth Painleve equation 2006 11 17 71%
"Single ring theorem" and the disk-annulus phase transition 2001 22 94 71%
Random matrix theory and symmetric spaces 2004 36 89 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 BURST 30 84% 0.5% 16
2 DOBRUSHIN MATH 18 57% 0.6% 21
3 KLASMOE 17 63% 0.5% 17
4 HBEREICH PHYS THEORET PHYS 3 33% 0.2% 7
5 EQUIPE STAT PROBABILITES 3 50% 0.1% 4
6 FRANCOCHINOIS ENERGIE NUCL 2 44% 0.1% 4
7 CNR PHYS 2 67% 0.1% 2
8 CNRS UMR C6626 1 100% 0.1% 2
9 KLAS MOE 1 100% 0.1% 2
10 PROJET TREC 1 100% 0.1% 2

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000020995 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//SOBOLEV ORTHOGONAL POLYNOMIALS
2 0.0000020233 KINETIC ROUGHENING THEORY//ROUGH ELECTRODE//RESTRICTED SOLID ON SOLID MODEL
3 0.0000019484 LOOP QUANTUM GRAVITY//PHYS THEOR LUMINY//MPI GRAVITAT PHYS
4 0.0000018863 QUANTUM CHAOS//NANOELECT MAT//NONLINEAR DYNAM SYST
5 0.0000014072 PHONON TRANSPORT//ZERO RANGE PROCESS//DRIVEN DIFFUSIVE SYSTEMS THEORY
6 0.0000013861 RANDOM WALK IN RANDOM ENVIRONMENT//BRANCHING RANDOM WALK//RANDOM ENVIRONMENT
7 0.0000012821 BIRTH AND DEATH CHAINS//CUTOFF PHENOMENON//LATTICE ORDERED ALGEBRA
8 0.0000012542 OPERATIONAL METHODS//MATRIX ORTHOGONAL POLYNOMIALS//MATRIX ORTHOGONALITY
9 0.0000010116 LATTICE GAUGE FIELD THEORIES//LATTICE QCD//NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
10 0.0000009282 SECRETARY PROBLEM//BEST CHOICE PROBLEM//PROPHET INEQUALITY