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

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
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
3463 2             HYPERCYCLIC OPERATORS//LINEABILITY//SPACEABILITY 1619
12554 1                   HYPERCYCLIC OPERATORS//HYPERCYCLICITY//HYPERCYCLIC VECTORS 928

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HYPERCYCLIC OPERATORS authKW 4112266 15% 88% 137
2 HYPERCYCLICITY authKW 1172146 5% 73% 47
3 HYPERCYCLIC VECTORS authKW 1158231 4% 95% 36
4 HYPERCYCLIC authKW 1061033 4% 92% 34
5 FREQUENTLY HYPERCYCLIC OPERATORS authKW 782450 3% 96% 24
6 UNIVERSAL SERIES authKW 707504 3% 83% 25
7 HYPERCYCLICITY CRITERION authKW 646866 2% 95% 20
8 HYPERCYCLIC SEMIGROUPS authKW 577330 2% 100% 17
9 CHAOTIC OPERATOR authKW 554680 2% 78% 21
10 SUPERCYCLIC OPERATORS authKW 530210 2% 71% 22

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 44458 93% 0% 865
2 Mathematics, Applied 7209 35% 0% 328
3 Mathematics, Interdisciplinary Applications 23 2% 0% 15
4 Physics, Mathematical 12 2% 0% 16
5 Multidisciplinary Sciences 1 0% 0% 4
6 Computer Science, Cybernetics 0 0% 0% 1
7 Automation & Control Systems 0 0% 0% 4
8 Mathematical & Computational Biology -0 0% 0% 3
9 Mechanics -0 1% 0% 9
10 Statistics & Probability -1 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IUMPA 280401 3% 26% 32
2 BORDELAIS ANAL GEOMETRIE 157738 1% 39% 12
3 UMR 5467 125569 2% 26% 14
4 ANAL MATEMAT 82367 9% 3% 81
5 EQUIPE ANAL SPE ALE 65303 1% 38% 5
6 HBEREICH MATH 4 58513 1% 19% 9
7 SFB 701 54332 0% 40% 4
8 UMR 8524 53627 3% 6% 28
9 WYDZIAL MATEMAT INFORMATYKI MECH 45279 0% 67% 2
10 PAUL PAINLEVE 39333 3% 4% 28

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 22599 4% 2% 39
2 JOURNAL OF OPERATOR THEORY 20254 3% 2% 28
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 19783 12% 1% 112
4 REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 15525 2% 3% 14
5 STUDIA MATHEMATICA 12391 4% 1% 33
6 JOURNAL OF APPROXIMATION THEORY 9418 3% 1% 31
7 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 8929 1% 3% 8
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8630 7% 0% 66
9 HOUSTON JOURNAL OF MATHEMATICS 6151 2% 1% 19
10 COMPLEX ANALYSIS AND OPERATOR THEORY 6075 1% 2% 11

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HYPERCYCLIC OPERATORS 4112266 15% 88% 137 Search HYPERCYCLIC+OPERATORS Search HYPERCYCLIC+OPERATORS
2 HYPERCYCLICITY 1172146 5% 73% 47 Search HYPERCYCLICITY Search HYPERCYCLICITY
3 HYPERCYCLIC VECTORS 1158231 4% 95% 36 Search HYPERCYCLIC+VECTORS Search HYPERCYCLIC+VECTORS
4 HYPERCYCLIC 1061033 4% 92% 34 Search HYPERCYCLIC Search HYPERCYCLIC
5 FREQUENTLY HYPERCYCLIC OPERATORS 782450 3% 96% 24 Search FREQUENTLY+HYPERCYCLIC+OPERATORS Search FREQUENTLY+HYPERCYCLIC+OPERATORS
6 UNIVERSAL SERIES 707504 3% 83% 25 Search UNIVERSAL+SERIES Search UNIVERSAL+SERIES
7 HYPERCYCLICITY CRITERION 646866 2% 95% 20 Search HYPERCYCLICITY+CRITERION Search HYPERCYCLICITY+CRITERION
8 HYPERCYCLIC SEMIGROUPS 577330 2% 100% 17 Search HYPERCYCLIC+SEMIGROUPS Search HYPERCYCLIC+SEMIGROUPS
9 CHAOTIC OPERATOR 554680 2% 78% 21 Search CHAOTIC+OPERATOR Search CHAOTIC+OPERATOR
10 SUPERCYCLIC OPERATORS 530210 2% 71% 22 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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 24377 LINEABILITY//SPACEABILITY//ALGEBRABILITY
2 29140 JOINT UNIVERSALITY//SPACE OF ANALYTIC FUNCTIONS//PERIODIC HURWITZ ZETA FUNCTION
3 5231 TOPOLOGICAL ENTROPY//DISTRIBUTIONAL CHAOS//SCRAMBLED SET
4 18546 INVARIANT SUBSPACE//TRIANGULARIZABILITY//EXTENDED EIGENVALUE
5 38852 LOCAL DENDRITES//MATEMAT SZAMITASTUDOMANYI INT//O DIMENSIONAL
6 20255 CYCLIC THROMBOCYTOPENIA//CYCLICAL NEUTROPENIA//ACQUIRED AMEGAKARYOCYTIC THROMBOCYTOPENIA
7 29153 TERNARY CYCLOTOMIC POLYNOMIAL//FLAT CYCLOTOMIC POLYNOMIAL//BOMBIERIS NORM
8 35049 CLAMPED PLATE EQUATION//KHAVINSON SHAPIRO CONJECTURE//FISCHER OPERATOR
9 23823 MIKUSINSKI OPERATORS//ARENS MICHAEL REPRESENTATION//WEAK STAR CONTINUITY
10 17380 FINELY SUPERHARMONIC FUNCTION//CARLEMAN MATRIX//NEVANLINNA DOMAIN

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