Class information for:
Level 2: HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2872 2870 16.1 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
2872 2             HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC 2870
13228 1                   HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC 852
14970 1                   INTEGRATED SEMIGROUP//C SEMIGROUPS//ABSTRACT CAUCHY PROBLEM 739
18236 1                   BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION 560
19062 1                   TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE 524
28993 1                   MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION 195

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 HYPERCYCLIC OPERATORS authKW 1250335 5% 90% 131
2 HYPERCYCLIC VECTORS authKW 362796 1% 95% 36
3 HYPERCYCLIC authKW 321784 1% 92% 33
4 HYPERCYCLICITY authKW 279263 1% 69% 38
5 INVARIANT SUBSPACE authKW 235638 4% 20% 113
6 UNIVERSAL SERIES authKW 221610 1% 83% 25
7 FREQUENTLY HYPERCYCLIC OPERATORS authKW 213235 1% 95% 21
8 HYPERCYCLICITY CRITERION authKW 202620 1% 95% 20
9 TRIANGULARIZABILITY authKW 182863 1% 90% 19
10 SUPERCYCLIC OPERATORS authKW 181515 1% 74% 23

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 137869 93% 1% 2672
2 Mathematics, Applied 16300 30% 0% 873
3 Statistics & Probability 36 1% 0% 41
4 Multidisciplinary Sciences 6 1% 0% 15
5 Physics, Mathematical 3 1% 0% 29
6 Mathematics, Interdisciplinary Applications 1 1% 0% 18
7 Logic 0 0% 0% 2
8 Computer Science, Cybernetics -0 0% 0% 2
9 Transportation Science & Technology -3 0% 0% 1
10 Mathematical & Computational Biology -4 0% 0% 3

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 IUMPA 130125 1% 32% 38
2 UMR 5467 80259 1% 38% 20
3 BORDELAIS ANAL GEOMETRIE 49399 0% 39% 12
4 ANAL MATEMAT 33589 3% 3% 91
5 UMR 8524 28958 1% 8% 36
6 PURE MATH 23240 3% 3% 79
7 UP A 5467 21271 0% 50% 4
8 MATH 19635 31% 0% 897
9 HBEREICH MATH 4 19569 0% 20% 9
10 GUZELYURT KKTC 19145 0% 60% 3

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 STUDIA MATHEMATICA 115131 6% 6% 178
2 SEMIGROUP FORUM 58587 4% 5% 113
3 JOURNAL OF OPERATOR THEORY 40686 2% 5% 70
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 28341 7% 1% 212
5 INTEGRAL EQUATIONS AND OPERATOR THEORY 26676 3% 3% 75
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 24504 8% 1% 221
7 JOURNAL OF FUNCTIONAL ANALYSIS 20414 4% 2% 112
8 TRENDS IN MATHEMATICS 11402 1% 4% 28
9 TAIWANESE JOURNAL OF MATHEMATICS 9881 1% 2% 40
10 REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 7451 1% 4% 16

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 HYPERCYCLIC OPERATORS 1250335 5% 90% 131 Search HYPERCYCLIC+OPERATORS Search HYPERCYCLIC+OPERATORS
2 HYPERCYCLIC VECTORS 362796 1% 95% 36 Search HYPERCYCLIC+VECTORS Search HYPERCYCLIC+VECTORS
3 HYPERCYCLIC 321784 1% 92% 33 Search HYPERCYCLIC Search HYPERCYCLIC
4 HYPERCYCLICITY 279263 1% 69% 38 Search HYPERCYCLICITY Search HYPERCYCLICITY
5 INVARIANT SUBSPACE 235638 4% 20% 113 Search INVARIANT+SUBSPACE Search INVARIANT+SUBSPACE
6 UNIVERSAL SERIES 221610 1% 83% 25 Search UNIVERSAL+SERIES Search UNIVERSAL+SERIES
7 FREQUENTLY HYPERCYCLIC OPERATORS 213235 1% 95% 21 Search FREQUENTLY+HYPERCYCLIC+OPERATORS Search FREQUENTLY+HYPERCYCLIC+OPERATORS
8 HYPERCYCLICITY CRITERION 202620 1% 95% 20 Search HYPERCYCLICITY+CRITERION Search HYPERCYCLICITY+CRITERION
9 TRIANGULARIZABILITY 182863 1% 90% 19 Search TRIANGULARIZABILITY Search TRIANGULARIZABILITY
10 SUPERCYCLIC OPERATORS 181515 1% 74% 23 Search SUPERCYCLIC+OPERATORS Search SUPERCYCLIC+OPERATORS

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 DODSON, CTJ , (2014) A REVIEW OF SOME RECENT WORK ON HYPERCYCLICITY.BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS. VOL. 19. ISSUE 1. P. 22 -41 60 81% 0
2 GROSSE-ERDMANN, KG , (1999) UNIVERSAL FAMILIES AND HYPERCYCLIC OPERATORS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 36. ISSUE 3. P. 345 -381 58 87% 317
3 CONEJERO, JA , KOSTIC, M , MIANA, PJ , MURILLO-ARCILA, M , (2016) DISTRIBUTIONALLY CHAOTIC FAMILIES OF OPERATORS ON FRECHET SPACES.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 15. ISSUE 5. P. 1915 -1939 39 95% 1
4 KOSTIC, M , (2012) HYPERCYCLIC AND CHAOTIC INTEGRATED C-COSINE FUNCTIONS.FILOMAT. VOL. 26. ISSUE 1. P. 1 -44 39 100% 1
5 MURILLO-ARCILA, M , PERIS, A , (2015) STRONG MIXING MEASURES FOR C-0-SEMIGROUPS.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 109. ISSUE 1. P. 101 -115 28 100% 4
6 BES, J , MENET, Q , (2015) EXISTENCE OF COMMON AND UPPER FREQUENTLY HYPERCYCLIC SUBSPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 432. ISSUE 1. P. 10 -37 31 97% 0
7 GROSSE-ERDMANN, KG , PERIS, A , (2010) WEAKLY MIXING OPERATORS ON TOPOLOGICAL VECTOR SPACES.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 104. ISSUE 2. P. 413 -426 34 94% 5
8 CONEJERO, JA , PERIS, A , (2009) HYPERCYCLIC TRANSLATION C-0-SEMIGROUPS ON COMPLEX SECTORS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 25. ISSUE 4. P. 1195-1208 31 100% 19
9 COSTAKIS, G , (2010) COMMON CESARO HYPERCYCLIC VECTORS.STUDIA MATHEMATICA. VOL. 201. ISSUE 3. P. 203 -226 31 100% 0
10 KOSTIC, M , (2013) PERTURBATION THEORY FOR ABSTRACT VOLTERRA EQUATIONS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 34 81% 0

Classes with closest relation at Level 2


Rank Class id link
1 1108 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY
2 3377 LINEABILITY//SPACEABILITY//ALGEBRABILITY
3 4023 SUBNORMS//HYPERGROUPS//CONVENIENT SETTING
4 1287 DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
5 1493 MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE
6 631 C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY
7 842 MATHEMATICS//MAXIMAL OPERATOR//BMO
8 3826 QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA
9 2881 PRIME RING//DERIVATION//GENERALIZED DERIVATION
10 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD

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