Class information for:
Level 1: FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY

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
1020 2             C ALGEBRA//MATHEMATICS//CROSSED PRODUCT 10592
12589 1                   FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY 925

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FREE PROBABILITY authKW 1800875 10% 54% 97
2 FREE CONVOLUTION authKW 1079602 4% 81% 39
3 FREE ENTROPY authKW 760502 3% 89% 25
4 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS journal 554558 11% 16% 102
5 NONCOMMUTATIVE PROBABILITY authKW 473182 3% 56% 25
6 MONOTONE INDEPENDENCE authKW 377397 1% 92% 12
7 BOOLEAN INDEPENDENCE authKW 343545 1% 92% 11
8 QUADRATIC CONDITIONAL VARIANCES authKW 340707 1% 100% 10
9 HARNESSES authKW 327074 1% 80% 12
10 FREE INDEPENDENCE authKW 317116 1% 85% 11

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 14878 31% 0% 287
2 Mathematics 14136 53% 0% 494
3 Physics, Mathematical 6425 24% 0% 218
4 Mathematics, Applied 2355 21% 0% 193
5 Physics, Multidisciplinary 0 2% 0% 19
6 Computer Science, Software Engineering -1 0% 0% 3
7 Computer Science, Information Systems -1 0% 0% 4
8 Telecommunications -1 0% 0% 4
9 Rehabilitation -2 0% 0% 1
10 Physics, Fluids & Plasmas -4 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH STRUCT THEORY 109025 0% 80% 4
2 MATH CYBERNET 50697 1% 19% 8
3 V VOLTERRA 41928 0% 31% 4
4 CIENCIAS ESTADIST COMPUTAC 34071 0% 100% 1
5 IECN LORIA NANCY UNIV 34071 0% 100% 1
6 MATH STAT MSCO1 1115 34071 0% 100% 1
7 MATH STRUCT THEORY MATH C 34071 0% 100% 1
8 POLYMATHEMAT 34071 0% 100% 1
9 STAT PROBABILITS 34071 0% 100% 1
10 UFR MATH CNRS UA 212 34071 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 554558 11% 16% 102
2 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 47587 2% 9% 15
3 JOURNAL OF FUNCTIONAL ANALYSIS 30326 8% 1% 77
4 JOURNAL OF THEORETICAL PROBABILITY 27362 3% 3% 31
5 ELECTRONIC COMMUNICATIONS IN PROBABILITY 14467 2% 2% 19
6 INDIANA UNIVERSITY MATHEMATICS JOURNAL 10391 3% 1% 27
7 PROBABILITY THEORY AND RELATED FIELDS 9716 3% 1% 26
8 RANDOM MATRICES-THEORY AND APPLICATIONS 7877 1% 5% 5
9 COMMUNICATIONS IN MATHEMATICAL PHYSICS 7535 5% 1% 43
10 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 5185 2% 1% 14

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FREE PROBABILITY 1800875 10% 54% 97 Search FREE+PROBABILITY Search FREE+PROBABILITY
2 FREE CONVOLUTION 1079602 4% 81% 39 Search FREE+CONVOLUTION Search FREE+CONVOLUTION
3 FREE ENTROPY 760502 3% 89% 25 Search FREE+ENTROPY Search FREE+ENTROPY
4 NONCOMMUTATIVE PROBABILITY 473182 3% 56% 25 Search NONCOMMUTATIVE+PROBABILITY Search NONCOMMUTATIVE+PROBABILITY
5 MONOTONE INDEPENDENCE 377397 1% 92% 12 Search MONOTONE+INDEPENDENCE Search MONOTONE+INDEPENDENCE
6 BOOLEAN INDEPENDENCE 343545 1% 92% 11 Search BOOLEAN+INDEPENDENCE Search BOOLEAN+INDEPENDENCE
7 QUADRATIC CONDITIONAL VARIANCES 340707 1% 100% 10 Search QUADRATIC+CONDITIONAL+VARIANCES Search QUADRATIC+CONDITIONAL+VARIANCES
8 HARNESSES 327074 1% 80% 12 Search HARNESSES Search HARNESSES
9 FREE INDEPENDENCE 317116 1% 85% 11 Search FREE+INDEPENDENCE Search FREE+INDEPENDENCE
10 BOOLEAN CONVOLUTION 275971 1% 90% 9 Search BOOLEAN+CONVOLUTION Search BOOLEAN+CONVOLUTION

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 27370 BOUNDARY REALIZATION//HOMOGENEOUS TREE//RANGE CHARACTERIZATIONS
3 8601 SUBFACTORS//PLANAR ALGEBRAS//GRAPH GROUPOIDS
4 37905 Q BINOMIAL DISTRIBUTION//EULER DISTRIBUTION//HEINE DISTRIBUTION
5 18084 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS
6 20638 WHITE NOISE ANALYSIS//LEVY LAPLACIAN//INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
7 21570 NATURAL EXPONENTIAL FAMILY//VARIANCE FUNCTION//MATSUMOTO YOR PROPERTY
8 11471 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
9 9681 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
10 8946 LAST PASSAGE PERCOLATION//AIRY PROCESS//TRACY WIDOM DISTRIBUTION

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