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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13959 802 20.9 36%


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
13959 1                   E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS 802

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 E 0 SEMIGROUPS authKW 839182 3% 96% 23
2 QUANTUM MARKOV SEMIGROUP authKW 682478 3% 81% 22
3 PRODUCT SYSTEMS authKW 596954 3% 56% 28
4 DIPARTIMENTO SEGES address 443018 2% 73% 16
5 CP SEMIGROUP authKW 266508 1% 100% 7
6 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS journal 241277 8% 10% 63
7 QUANTUM DYNAMICAL ENTROPY authKW 228436 1% 100% 6
8 QUANTUM DETAILED BALANCE authKW 190363 1% 100% 5
9 SEMIGROUPS OF ENDOMORPHISMS authKW 190363 1% 100% 5
10 C DYNAMICAL SYSTEMS authKW 173882 2% 35% 13

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 13645 56% 0% 450
2 Physics, Mathematical 11575 34% 0% 270
3 Mathematics, Applied 2278 22% 0% 176
4 Statistics & Probability 2138 13% 0% 104
5 Physics, Multidisciplinary 158 8% 0% 65
6 Asian Studies 1 0% 0% 1
7 Archaeology 0 0% 0% 1
8 Physics, Particles & Fields -0 1% 0% 7
9 Education, Scientific Disciplines -0 0% 0% 1
10 Mathematics, Interdisciplinary Applications -1 0% 0% 2

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 DIPARTIMENTO SEGES 443018 2% 73% 16
2 ANAL ESTOCAST 79312 1% 42% 5
3 DIPARTIMENTO SEGS 76145 0% 100% 2
4 LEHRSTUHL WAHR EINLICHKEITSTHEORIE STAT 57106 0% 50% 3
5 DIPARTIMENTO EGSI 50762 0% 67% 2
6 MATH 9E 50762 0% 67% 2
7 V VOLTERRA 46853 0% 31% 4
8 EPT INFORMAT SCI 38073 0% 100% 1
9 FYZYKI 38073 0% 100% 1
10 INDIAN STAT BANGALORE 38073 0% 100% 1

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 241277 8% 10% 63
2 OPEN SYSTEMS & INFORMATION DYNAMICS 39189 3% 5% 21
3 JOURNAL OF FUNCTIONAL ANALYSIS 32967 9% 1% 75
4 JOURNAL OF OPERATOR THEORY 26774 4% 2% 30
5 REVIEWS IN MATHEMATICAL PHYSICS 11462 2% 2% 16
6 LETTERS IN MATHEMATICAL PHYSICS 8688 3% 1% 27
7 COMMUNICATIONS IN MATHEMATICAL PHYSICS 8209 5% 1% 42
8 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 5933 2% 1% 14
9 INTERNATIONAL JOURNAL OF MATHEMATICS 5420 2% 1% 15
10 REPORTS ON MATHEMATICAL PHYSICS 4399 1% 1% 11

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 E 0 SEMIGROUPS 839182 3% 96% 23 Search E+0+SEMIGROUPS Search E+0+SEMIGROUPS
2 QUANTUM MARKOV SEMIGROUP 682478 3% 81% 22 Search QUANTUM+MARKOV+SEMIGROUP Search QUANTUM+MARKOV+SEMIGROUP
3 PRODUCT SYSTEMS 596954 3% 56% 28 Search PRODUCT+SYSTEMS Search PRODUCT+SYSTEMS
4 CP SEMIGROUP 266508 1% 100% 7 Search CP+SEMIGROUP Search CP+SEMIGROUP
5 QUANTUM DYNAMICAL ENTROPY 228436 1% 100% 6 Search QUANTUM+DYNAMICAL+ENTROPY Search QUANTUM+DYNAMICAL+ENTROPY
6 QUANTUM DETAILED BALANCE 190363 1% 100% 5 Search QUANTUM+DETAILED+BALANCE Search QUANTUM+DETAILED+BALANCE
7 SEMIGROUPS OF ENDOMORPHISMS 190363 1% 100% 5 Search SEMIGROUPS+OF+ENDOMORPHISMS Search SEMIGROUPS+OF+ENDOMORPHISMS
8 C DYNAMICAL SYSTEMS 173882 2% 35% 13 Search C+DYNAMICAL+SYSTEMS Search C+DYNAMICAL+SYSTEMS
9 QUANTUM DYNAMICAL SEMIGROUP 173521 2% 33% 14 Search QUANTUM+DYNAMICAL+SEMIGROUP Search QUANTUM+DYNAMICAL+SEMIGROUP
10 E O SEMIGROUPS 152290 0% 100% 4 Search E+O+SEMIGROUPS Search E+O+SEMIGROUPS

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 IZUMI, M , (2012) E-0-SEMIGROUPS: AROUND AND BEYOND ARVESON'S WORK.JOURNAL OF OPERATOR THEORY. VOL. 68. ISSUE 2. P. 335 -363 46 88% 2
2 SKEIDE, M , (2016) INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 240. ISSUE 1137. P. 1 -+ 35 76% 1
3 DUVENHAGE, R , MUKHAMEDOV, F , (2014) RELATIVE ERGODIC PROPERTIES OF C*-DYNAMICAL SYSTEMS.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 17. ISSUE 1. P. - 30 81% 1
4 DESCHAMPS, J , FAGNOLA, F , SASSO, E , UMANITA, V , (2016) STRUCTURE OF UNIFORMLY CONTINUOUS QUANTUM MARKOV SEMIGROUPS.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 28. ISSUE 1. P. - 19 90% 2
5 CIPRIANI, F , (2008) DIRICHLET FORMS ON NONCOMMUTATIVE SPACES.QUANTUM POTENTIAL THEORY. VOL. 1954. ISSUE . P. 161 -276 28 68% 12
6 DUVENHAGE, R , STROH, A , (2016) DISJOINTNESS OF C*-DYNAMICAL SYSTEMS.HOUSTON JOURNAL OF MATHEMATICS. VOL. 42. ISSUE 1. P. 223 -247 15 100% 0
7 WATANABE, N , (2016) ON QUANTUM DYNAMICAL ENTROPY FOR OPEN SYSTEMS.INTERNATIONAL JOURNAL OF QUANTUM INFORMATION. VOL. 14. ISSUE 4. P. - 15 100% 0
8 CARBONE, R , SASSO, E , UMANITA, V , (2014) ON THE ASYMPTOTIC BEHAVIOR OF GENERIC QUANTUM MARKOV SEMIGROUPS.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 17. ISSUE 1. P. - 14 100% 8
9 WATANABE, N , (2016) NOTE ON ENTROPIES FOR QUANTUM DYNAMICAL SYSTEMS.PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 374. ISSUE 2068. P. - 15 88% 1
10 GLIOUEZ, S , HACHICHA, S , NASRAOUI, I , (2017) THE SUPPORT PROJECTION OF STATE OF QMS WITH UNBOUNDED GENERATOR AND THE CLASSICAL THEOREM FOR MARKOV CHAINS WITH ANALYTIC TRANSITION SEMI-GROUP.STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS. VOL. 89. ISSUE 2. P. 521 -529 16 84% 0

Classes with closest relation at Level 1


Rank Class id link
1 7995 QUANTUM FEEDBACK CONTROL//QUANTUM FILTERING//QUANTUM STOCHASTIC PROCESS
2 28933 SUBHOMOGENEOUS//SWISS CHEESES//BANACH BUNDLE
3 7505 SUBFACTORS//PLANAR ALGEBRAS//ALGEBRAIC QUANTUM FIELD THEORY
4 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
5 8105 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION
6 18463 APPROXIMATING HAMILTONIAN METHOD//GENERALIZED BOSE EINSTEIN CONDENSATION//BOGOLIUBOV WEAKLY IMPERFECT GAS
7 8872 QUANTUM CHANNEL//QUANTUM SHANNON THEORY//QUANTUM CAPACITY
8 21783 CAYLEY TREE//HUSIMI LATTICE//GIBBS MEASURE
9 25973 BAR CATEGORIES//BIO OURCES MATHHIGASHI KU//BOGOLUBOV GENERATING FUNCTIONAL
10 23652 ALPHA COMPLETELY POSITIVE MAP//J REPRESENTATION//WICK POWERS

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