Class information for:
Level 1: HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13228 852 18.5 48%


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

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 4148363 15% 89% 130
2 HYPERCYCLIC VECTORS authKW 1155304 4% 92% 35
3 HYPERCYCLIC authKW 1084099 4% 92% 33
4 HYPERCYCLICITY authKW 940891 4% 69% 38
5 UNIVERSAL SERIES authKW 746620 3% 83% 25
6 FREQUENTLY HYPERCYCLIC OPERATORS authKW 718391 2% 95% 21
7 HYPERCYCLICITY CRITERION authKW 682630 2% 95% 20
8 HYPERCYCLIC SEMIGROUPS authKW 609249 2% 100% 17
9 SUPERCYCLIC OPERATORS authKW 559525 3% 71% 22
10 CHAOTIC OPERATOR authKW 517494 2% 76% 19

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 41538 94% 0% 799
2 Mathematics, Applied 6666 35% 0% 302
3 Mathematics, Interdisciplinary Applications 18 2% 0% 13
4 Physics, Mathematical 18 2% 0% 17
5 Multidisciplinary Sciences 0 0% 0% 3
6 Computer Science, Cybernetics 0 0% 0% 1
7 Mathematical & Computational Biology 0 0% 0% 3
8 Automation & Control Systems -0 0% 0% 3
9 Statistics & Probability -1 0% 0% 3
10 Computer Science, Theory & Methods -2 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 310956 4% 27% 32
2 BORDELAIS ANAL GEOMETRIE 166459 1% 39% 12
3 UMR 5467 132513 2% 26% 14
4 ANAL MATEMAT 85575 9% 3% 79
5 UMR 8524 67848 4% 6% 30
6 SFB 701 57336 0% 40% 4
7 HBEREICH MATH 4 52115 1% 18% 8
8 PAUL PAINLEVE 44264 3% 4% 28
9 FB MATH 4 41689 1% 15% 8
10 BORDELAIS ANAL GEOMERIE 35838 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 INTEGRAL EQUATIONS AND OPERATOR THEORY 21919 4% 2% 37
2 JOURNAL OF OPERATOR THEORY 18921 3% 2% 26
3 REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 16614 2% 4% 13
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 15014 11% 0% 94
5 STUDIA MATHEMATICA 13305 4% 1% 33
6 JOURNAL OF APPROXIMATION THEORY 9405 4% 1% 30
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 9259 8% 0% 66
8 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 8005 1% 3% 7
9 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 5963 1% 1% 12
10 COMPLEX ANALYSIS AND OPERATOR THEORY 4733 1% 1% 9

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 4148363 15% 89% 130 Search HYPERCYCLIC+OPERATORS Search HYPERCYCLIC+OPERATORS
2 HYPERCYCLIC VECTORS 1155304 4% 92% 35 Search HYPERCYCLIC+VECTORS Search HYPERCYCLIC+VECTORS
3 HYPERCYCLIC 1084099 4% 92% 33 Search HYPERCYCLIC Search HYPERCYCLIC
4 HYPERCYCLICITY 940891 4% 69% 38 Search HYPERCYCLICITY Search HYPERCYCLICITY
5 UNIVERSAL SERIES 746620 3% 83% 25 Search UNIVERSAL+SERIES Search UNIVERSAL+SERIES
6 FREQUENTLY HYPERCYCLIC OPERATORS 718391 2% 95% 21 Search FREQUENTLY+HYPERCYCLIC+OPERATORS Search FREQUENTLY+HYPERCYCLIC+OPERATORS
7 HYPERCYCLICITY CRITERION 682630 2% 95% 20 Search HYPERCYCLICITY+CRITERION Search HYPERCYCLICITY+CRITERION
8 HYPERCYCLIC SEMIGROUPS 609249 2% 100% 17 Search HYPERCYCLIC+SEMIGROUPS Search HYPERCYCLIC+SEMIGROUPS
9 SUPERCYCLIC OPERATORS 559525 3% 71% 22 Search SUPERCYCLIC+OPERATORS Search SUPERCYCLIC+OPERATORS
10 CHAOTIC OPERATOR 517494 2% 76% 19 Search CHAOTIC+OPERATOR Search CHAOTIC+OPERATOR

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 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
2 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 58 78% 0
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 34 83% 1
4 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
5 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
6 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
7 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
8 COSTAKIS, G , (2010) COMMON CESARO HYPERCYCLIC VECTORS.STUDIA MATHEMATICA. VOL. 201. ISSUE 3. P. 203 -226 31 100% 0
9 MANGINO, EM , PERIS, A , (2011) FREQUENTLY HYPERCYCLIC SEMIGROUPS.STUDIA MATHEMATICA. VOL. 202. ISSUE 3. P. 227 -242 27 100% 11
10 MANGINO, EM , MURILLO-ARCILA, M , (2015) FREQUENTLY HYPERCYCLIC TRANSLATION SEMIGROUPS.STUDIA MATHEMATICA. VOL. 227. ISSUE 3. P. 219 -238 24 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 21405 LINEABILITY//SPACEABILITY//ALGEBRABILITY
2 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
3 29343 SPACE OF ANALYTIC FUNCTIONS//JOINT UNIVERSALITY//PERIODIC HURWITZ ZETA FUNCTION
4 6632 INVERSE LIMIT//DISTRIBUTIONAL CHAOS//TOPOLOGICAL ENTROPY
5 19062 TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE
6 37657 LOCAL DENDRITES//MATEMAT SZAMITASTUDOMANYI INT//O DIMENSIONAL
7 20937 CYCLIC THROMBOCYTOPENIA//CYCLICAL NEUTROPENIA//ACQUIRED AMEGAKARYOCYTIC THROMBOCYTOPENIA
8 18693 CARLEMAN MATRIX//NEVANLINNA DOMAIN//POLYNOMIAL APPROXIMATION IN 2 SPACE
9 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
10 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS

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