Class information for:
Level 1: LAST PASSAGE PERCOLATION//AIRY PROCESS//TRACY WIDOM DISTRIBUTION

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
170 3       MATHEMATICS//JOURNAL OF ALGEBRA//MATH 59224
1203 2             INTEGRABLE SPIN CHAINS VERTEX MODELS//BETHE ANSATZ//EXCLUSION PROCESS 9509
8946 1                   LAST PASSAGE PERCOLATION//AIRY PROCESS//TRACY WIDOM DISTRIBUTION 1232

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LAST PASSAGE PERCOLATION authKW 581419 2% 78% 29
2 AIRY PROCESS authKW 487240 2% 95% 20
3 TRACY WIDOM DISTRIBUTION authKW 391117 2% 53% 29
4 RANDOM MATRICES authKW 339153 8% 13% 101
5 DETERMINANTAL PROCESSES authKW 317438 2% 56% 22
6 DOBRUSHIN MATH address 296846 2% 55% 21
7 DETERMINANTAL POINT PROCESS authKW 258061 2% 39% 26
8 KPZ UNIVERSALITY CLASS authKW 254291 1% 76% 13
9 SECOND CLASS PARTICLE authKW 224004 1% 52% 17
10 BETA ENSEMBLES authKW 208893 1% 58% 14

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Physics, Mathematical 16959 33% 0% 405
2 Statistics & Probability 10332 23% 0% 278
3 Mathematics 7051 33% 0% 411
4 Mathematics, Applied 1105 13% 0% 160
5 Physics, Multidisciplinary 386 10% 0% 119
6 Physics, Fluids & Plasmas 233 4% 0% 48
7 Mechanics 51 3% 0% 41
8 Physics, Particles & Fields 14 2% 0% 26
9 Multidisciplinary Sciences 3 1% 0% 7
10 Operations Research & Management Science 2 1% 0% 10

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DOBRUSHIN MATH 296846 2% 55% 21
2 ZENTRUM MATH M3 65771 0% 43% 6
3 HAMILTON MATH 59393 1% 19% 12
4 GASPARD MONGE ELECT COMP SCI 51160 0% 100% 2
5 INFORMAT TRANSMISS PROBLEMS 46683 4% 4% 48
6 UMR 8626 39431 2% 6% 26
7 LPTMS 34291 2% 5% 27
8 ZENTRUM MATH 31907 3% 4% 31
9 ABT ANGEW STOCHAST 25580 0% 100% 1
10 CIRB FRANCECNRS UMR 7241INSERM U1050 25580 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RANDOM MATRICES-THEORY AND APPLICATIONS 53266 1% 14% 15
2 JOURNAL OF STATISTICAL PHYSICS 31105 8% 1% 99
3 ELECTRONIC JOURNAL OF PROBABILITY 27886 3% 3% 35
4 PROBABILITY THEORY AND RELATED FIELDS 21880 4% 2% 45
5 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 17827 3% 2% 35
6 ANNALS OF PROBABILITY 13789 3% 1% 42
7 ELECTRONIC COMMUNICATIONS IN PROBABILITY 13262 2% 2% 21
8 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 11768 3% 1% 38
9 JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 11438 3% 1% 41
10 COMMUNICATIONS IN MATHEMATICAL PHYSICS 11393 5% 1% 61

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LAST PASSAGE PERCOLATION 581419 2% 78% 29 Search LAST+PASSAGE+PERCOLATION Search LAST+PASSAGE+PERCOLATION
2 AIRY PROCESS 487240 2% 95% 20 Search AIRY+PROCESS Search AIRY+PROCESS
3 TRACY WIDOM DISTRIBUTION 391117 2% 53% 29 Search TRACY+WIDOM+DISTRIBUTION Search TRACY+WIDOM+DISTRIBUTION
4 RANDOM MATRICES 339153 8% 13% 101 Search RANDOM+MATRICES Search RANDOM+MATRICES
5 DETERMINANTAL PROCESSES 317438 2% 56% 22 Search DETERMINANTAL+PROCESSES Search DETERMINANTAL+PROCESSES
6 DETERMINANTAL POINT PROCESS 258061 2% 39% 26 Search DETERMINANTAL+POINT+PROCESS Search DETERMINANTAL+POINT+PROCESS
7 KPZ UNIVERSALITY CLASS 254291 1% 76% 13 Search KPZ+UNIVERSALITY+CLASS Search KPZ+UNIVERSALITY+CLASS
8 SECOND CLASS PARTICLE 224004 1% 52% 17 Search SECOND+CLASS+PARTICLE Search SECOND+CLASS+PARTICLE
9 BETA ENSEMBLES 208893 1% 58% 14 Search BETA+ENSEMBLES Search BETA+ENSEMBLES
10 DYSONS BROWNIAN MOTION 196766 1% 77% 10 Search DYSONS+BROWNIAN+MOTION Search DYSONS+BROWNIAN+MOTION

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 6272 RANDOM MATRICES//LIMITING SPECTRAL DISTRIBUTION//STIELTJES TRANSFORM
2 12356 MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS
3 25347 VLASOV SCALING//SPATIAL BIRTH AND DEATH PROCESSES//BIBOS
4 4835 ZERO RANGE PROCESS//EXCLUSION PROCESS//DRIVEN DIFFUSIVE SYSTEMS THEORY
5 17621 ALTERNATING SIGN MATRICES//AZTEC DIAMOND//PLANE PARTITIONS
6 35748 DERIVATIVE NONLINEAR SCHRODINGER MODEL//Q BOSONS//HALL LITTLEWOOD FUNCTIONS
7 31455 STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA
8 20525 PINNING MODEL//PARABOLIC ANDERSON MODEL//RANDOM POTENTIAL
9 2172 KINETIC ROUGHENING THEORY//KINETIC ROUGHENING//RESTRICTED SOLID ON SOLID MODEL
10 6639 PAINLEVE EQUATIONS//GMPIB//DISCRETE PAINLEVE EQUATIONS

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