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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13917 805 19.9 49%


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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
13917 1                   FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY 805

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 FREE PROBABILITY authKW 1436345 10% 47% 80
2 FREE CONVOLUTION authKW 1153923 5% 82% 37
3 FREE ENTROPY authKW 840307 3% 92% 24
4 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS journal 569948 12% 15% 97
5 MONOTONE INDEPENDENCE authKW 420154 1% 92% 12
6 NONCOMMUTATIVE PROBABILITY authKW 418166 3% 53% 21
7 BOOLEAN INDEPENDENCE authKW 382466 1% 92% 11
8 FREE ENTROPY DIMENSION authKW 379307 1% 100% 10
9 QUADRATIC CONDITIONAL VARIANCES authKW 379307 1% 100% 10
10 FREE INDEPENDENCE authKW 344823 1% 91% 10

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 Mathematics 13404 56% 0% 447
2 Statistics & Probability 11848 30% 0% 239
3 Physics, Mathematical 5723 24% 0% 192
4 Mathematics, Applied 2438 23% 0% 182
5 Physics, Multidisciplinary 0 2% 0% 18
6 Telecommunications -1 0% 0% 3
7 Rehabilitation -2 0% 0% 1
8 Mathematics, Interdisciplinary Applications -2 0% 0% 1
9 Computer Science, Software Engineering -2 0% 0% 1
10 Spectroscopy -4 0% 0% 1

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 MATH STRUCT THEORY 121377 0% 80% 4
2 V VOLTERRA 46678 0% 31% 4
3 WYDZIAL MATEMAT NAUK INFORMACYJNYCH 40393 1% 15% 7
4 CIENCIAS ESTADIST COMPUTAC 37931 0% 100% 1
5 MATH STAT MSCO1 1115 37931 0% 100% 1
6 MATH STRUCT THEORY MATH C 37931 0% 100% 1
7 POLYMATHEMAT 37931 0% 100% 1
8 UFR MATH CNRS UA 212 37931 0% 100% 1
9 MATH CYBERNET 35924 1% 16% 6
10 MATEMATYKI INFORMATYKI 30342 0% 40% 2

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 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 569948 12% 15% 97
2 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 41874 2% 8% 13
3 NATO SCIENCE SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY 34133 0% 30% 3
4 JOURNAL OF FUNCTIONAL ANALYSIS 23898 8% 1% 64
5 JOURNAL OF THEORETICAL PROBABILITY 13200 2% 2% 20
6 ELECTRONIC COMMUNICATIONS IN PROBABILITY 11069 2% 2% 15
7 INDIANA UNIVERSITY MATHEMATICS JOURNAL 9928 3% 1% 25
8 PROBABILITY THEORY AND RELATED FIELDS 8596 3% 1% 23
9 COMMUNICATIONS IN MATHEMATICAL PHYSICS 7791 5% 1% 41
10 JOURNAL OF OPERATOR THEORY 5794 2% 1% 14

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 FREE PROBABILITY 1436345 10% 47% 80 Search FREE+PROBABILITY Search FREE+PROBABILITY
2 FREE CONVOLUTION 1153923 5% 82% 37 Search FREE+CONVOLUTION Search FREE+CONVOLUTION
3 FREE ENTROPY 840307 3% 92% 24 Search FREE+ENTROPY Search FREE+ENTROPY
4 MONOTONE INDEPENDENCE 420154 1% 92% 12 Search MONOTONE+INDEPENDENCE Search MONOTONE+INDEPENDENCE
5 NONCOMMUTATIVE PROBABILITY 418166 3% 53% 21 Search NONCOMMUTATIVE+PROBABILITY Search NONCOMMUTATIVE+PROBABILITY
6 BOOLEAN INDEPENDENCE 382466 1% 92% 11 Search BOOLEAN+INDEPENDENCE Search BOOLEAN+INDEPENDENCE
7 FREE ENTROPY DIMENSION 379307 1% 100% 10 Search FREE+ENTROPY+DIMENSION Search FREE+ENTROPY+DIMENSION
8 QUADRATIC CONDITIONAL VARIANCES 379307 1% 100% 10 Search QUADRATIC+CONDITIONAL+VARIANCES Search QUADRATIC+CONDITIONAL+VARIANCES
9 FREE INDEPENDENCE 344823 1% 91% 10 Search FREE+INDEPENDENCE Search FREE+INDEPENDENCE
10 HARNESSES 327825 1% 79% 11 Search HARNESSES Search HARNESSES

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 BOZEJKO, M , EJSMONT, W , HASEBE, T , (2015) FOCK SPACE ASSOCIATED TO COXETER GROUPS OF TYPE B.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 269. ISSUE 6. P. 1769 -1795 40 91% 0
2 ZHONG, P , (2014) FREE BROWNIAN MOTION AND FREE CONVOLUTION SEMIGROUPS: MULTIPLICATIVE CASE.PACIFIC JOURNAL OF MATHEMATICS. VOL. 269. ISSUE 1. P. 219 -256 26 100% 1
3 EJSMONT, W , (2014) NEW CHARACTERIZATION OF TWO-STATE NORMAL DISTRIBUTION.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 17. ISSUE 3. P. - 28 90% 0
4 CHISTYAKOV, GP , GOTZE, F , (2011) THE ARITHMETIC OF DISTRIBUTIONS IN FREE PROBABILITY THEORY.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 9. ISSUE 5. P. 997 -1050 25 100% 13
5 ARIZMENDI, O , HASEBE, T , (2016) CLASSICAL SCALE MIXTURES OF BOOLEAN STABLE LAWS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 7. P. 4873 -4905 27 84% 0
6 HASEBE, T , (2011) CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 14. ISSUE 3. P. 465-516 25 100% 1
7 CHISTYAKOV, GP , GOTZE, F , (2013) ASYMPTOTIC EXPANSIONS IN THE CLT IN FREE PROBABILITY.PROBABILITY THEORY AND RELATED FIELDS. VOL. 157. ISSUE 1-2. P. 107 -156 25 93% 2
8 CHISTYAKOV, GP , GOTZE, F , (2008) LIMIT THEOREMS IN FREE PROBABILITY THEORY. I.ANNALS OF PROBABILITY. VOL. 36. ISSUE 1. P. 54 -90 25 96% 17
9 WOJAKOWSKI, L , (2007) PROBABILITY INTERPOLATING BETWEEN FREE AND BOOLEAN - INTRODUCTION.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 446. P. 5 -45 27 93% 4
10 HASEBE, T , (2016) FREE INFINITE DIVISIBILITY FOR POWERS OF RANDOM VARIABLES.ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS. VOL. 13. ISSUE 1. P. 309 -336 22 88% 0

Classes with closest relation at Level 1


Rank Class id link
1 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
2 3500 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//LIMITING SPECTRAL DISTRIBUTION
3 19294 WICK PRODUCT//WHITE NOISE ANALYSIS//LEVY LAPLACIAN
4 13959 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS
5 22234 NATURAL EXPONENTIAL FAMILY//VARIANCE FUNCTION//RIESZ DISTRIBUTION
6 13110 BURST//CHIRAL RANDOM MATRIX THEORY//MICROSCOPIC SPECTRAL DENSITY
7 18813 SELFDECOMPOSABLE DISTRIBUTION//SELF DECOMPOSABILITY//STOCHASTIC INTEGRAL MAPPING
8 7995 QUANTUM FEEDBACK CONTROL//QUANTUM FILTERING//QUANTUM STOCHASTIC PROCESS
9 17392 FRACTIONAL EXCLUSION STATISTICS//EXCLUSION STATISTICS//INFINITE U HUBBARD MODEL
10 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES

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