Class information for:
Level 1: E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS

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
18084 1                   E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS 594

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 E 0 SEMIGROUPS authKW 1326435 4% 100% 25
2 QUANTUM MARKOV SEMIGROUP authKW 967830 4% 79% 23
3 PRODUCT SYSTEMS authKW 918276 5% 58% 30
4 DIPARTIMENTO SEGES address 696973 3% 77% 17
5 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS journal 319063 10% 10% 62
6 CP SEMIGROUP authKW 272865 1% 86% 6
7 QUANTUM DETAILED BALANCE authKW 265287 1% 100% 5
8 SEMIGROUPS OF ENDOMORPHISMS authKW 265287 1% 100% 5
9 QUANTUM DYNAMICAL SEMIGROUP authKW 241824 2% 33% 14
10 C DYNAMICAL SYSTEMS authKW 224150 2% 33% 13

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 14411 67% 0% 397
2 Physics, Mathematical 5504 27% 0% 161
3 Statistics & Probability 2291 15% 0% 92
4 Mathematics, Applied 2085 24% 0% 144
5 Physics, Multidisciplinary 14 4% 0% 24
6 Asian Studies 2 0% 0% 1
7 Archaeology 0 0% 0% 1
8 Automation & Control Systems -1 0% 0% 1
9 Mathematics, Interdisciplinary Applications -1 0% 0% 1
10 Physics, Particles & Fields -4 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTIMENTO SEGES 696973 3% 77% 17
2 ANAL ESTOCAST 110530 1% 42% 5
3 LEHRSTUHL WAHR EINLICHKEITSTHEORIE STAT 79583 1% 50% 3
4 INDIAN STAT BANGALORE 53057 0% 100% 1
5 INTERDISCIPLINARE VITO VOLTERRA 2 53057 0% 100% 1
6 LEHRSTUHL WAHR EINLICHKEITSTHEORIE 53057 0% 100% 1
7 MATH ALGEB OPERATEURS REP ENTAT 53057 0% 100% 1
8 RV POST 53053 1% 33% 3
9 ANAL ESTOCAST LICAC 42444 0% 40% 2
10 CNRS PROBABIL 26528 0% 50% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 319063 10% 10% 62
2 JOURNAL OF FUNCTIONAL ANALYSIS 36881 11% 1% 68
3 JOURNAL OF OPERATOR THEORY 33979 5% 2% 29
4 OPEN SYSTEMS & INFORMATION DYNAMICS 9684 2% 2% 9
5 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 9378 3% 1% 15
6 REVIEWS IN MATHEMATICAL PHYSICS 6058 2% 1% 10
7 COMMUNICATIONS IN MATHEMATICAL PHYSICS 4976 5% 0% 28
8 LECTURE NOTES IN MATHEMATICS 4216 4% 0% 24
9 INTERNATIONAL JOURNAL OF MATHEMATICS 3871 2% 1% 11
10 PACIFIC JOURNAL OF MATHEMATICS 2900 3% 0% 16

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 E 0 SEMIGROUPS 1326435 4% 100% 25 Search E+0+SEMIGROUPS Search E+0+SEMIGROUPS
2 QUANTUM MARKOV SEMIGROUP 967830 4% 79% 23 Search QUANTUM+MARKOV+SEMIGROUP Search QUANTUM+MARKOV+SEMIGROUP
3 PRODUCT SYSTEMS 918276 5% 58% 30 Search PRODUCT+SYSTEMS Search PRODUCT+SYSTEMS
4 CP SEMIGROUP 272865 1% 86% 6 Search CP+SEMIGROUP Search CP+SEMIGROUP
5 QUANTUM DETAILED BALANCE 265287 1% 100% 5 Search QUANTUM+DETAILED+BALANCE Search QUANTUM+DETAILED+BALANCE
6 SEMIGROUPS OF ENDOMORPHISMS 265287 1% 100% 5 Search SEMIGROUPS+OF+ENDOMORPHISMS Search SEMIGROUPS+OF+ENDOMORPHISMS
7 QUANTUM DYNAMICAL SEMIGROUP 241824 2% 33% 14 Search QUANTUM+DYNAMICAL+SEMIGROUP Search QUANTUM+DYNAMICAL+SEMIGROUP
8 C DYNAMICAL SYSTEMS 224150 2% 33% 13 Search C+DYNAMICAL+SYSTEMS Search C+DYNAMICAL+SYSTEMS
9 E O SEMIGROUPS 212230 1% 100% 4 Search E+O+SEMIGROUPS Search E+O+SEMIGROUPS
10 KOLMOGOROVS PROPERTY 212230 1% 100% 4 Search KOLMOGOROVS+PROPERTY Search KOLMOGOROVS+PROPERTY

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 26643 QUANTUM DYNAMICAL ENTROPY//QUANTUM MUTUAL ENTROPY//DYNAMICAL ENTROPY
2 7273 QUANTUM FEEDBACK CONTROL//QUANTUM FILTERING//QUANTUM CONTROL
3 20110 LOCALLY C ALGEBRA//ALPHA COMPLETELY POSITIVE MAP//PARTIAL ALGEBRAS
4 12589 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
5 9681 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
6 22071 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
7 8601 SUBFACTORS//PLANAR ALGEBRAS//GRAPH GROUPOIDS
8 18422 PAULI FIERZ MODEL//NON RELATIVISTIC QED//NELSON MODEL
9 18849 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ESSENTIAL SPECTRA
10 4915 INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY

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