Class information for:
Level 1: JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS

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
486 3       ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS//HAUSDORFF DIMENSION 24099
865 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET 11703
4710 1                   JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS 1764

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JULIA SET authKW 2413759 13% 60% 226
2 FATOU SET authKW 583569 2% 78% 42
3 HOLOMORPHIC DYNAMICS authKW 367476 2% 57% 36
4 CONFORMAL MEASURE authKW 365949 1% 79% 26
5 COMPLEX DYNAMICS authKW 307255 4% 24% 71
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 305685 12% 8% 206
7 RATIONAL SEMIGROUPS authKW 267974 1% 100% 15
8 WANDERING DOMAIN authKW 211552 1% 79% 15
9 MANDELBROT SET authKW 192861 2% 35% 31
10 RANDOM COMPLEX DYNAMICS authKW 178649 1% 100% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 68744 84% 0% 1486
2 Mathematics, Applied 14472 36% 0% 640
3 Physics, Mathematical 1859 10% 0% 170
4 Mathematics, Interdisciplinary Applications 343 4% 0% 64
5 Multidisciplinary Sciences 2 0% 0% 8
6 Statistics & Probability 0 1% 0% 12
7 History & Philosophy of Science -1 0% 0% 1
8 Religion -1 0% 0% 1
9 Physics, Multidisciplinary -1 2% 0% 27
10 Automation & Control Systems -3 0% 0% 3

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH SEMINAR 58549 3% 7% 45
2 FC FIS MATEMAT 35730 0% 100% 2
3 MAT LICADA ANAL 35730 0% 100% 2
4 EMILE PICARD 28662 1% 8% 20
5 DEP ENG INFORMAT MATEMAT 23819 0% 67% 2
6 MATH 22581 43% 0% 751
7 COURSE MATH SCISAKYO KU 17865 0% 100% 1
8 DEP MAT L ANALISI 17865 0% 100% 1
9 FC FISICOMATEMAT 17865 0% 100% 1
10 HUGHES AIRCRAFT ELECT ENGN 17865 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 305685 12% 8% 206
2 FUNDAMENTA MATHEMATICAE 51916 4% 4% 76
3 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 26831 2% 4% 41
4 NONLINEARITY 21757 4% 2% 64
5 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 18210 3% 2% 60
6 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 13187 3% 1% 52
7 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 10889 1% 3% 24
8 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 9848 2% 2% 30
9 ANNALS OF MATHEMATICS 9595 2% 2% 31
10 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 9057 3% 1% 54

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 JULIA SET 2413759 13% 60% 226 Search JULIA+SET Search JULIA+SET
2 FATOU SET 583569 2% 78% 42 Search FATOU+SET Search FATOU+SET
3 HOLOMORPHIC DYNAMICS 367476 2% 57% 36 Search HOLOMORPHIC+DYNAMICS Search HOLOMORPHIC+DYNAMICS
4 CONFORMAL MEASURE 365949 1% 79% 26 Search CONFORMAL+MEASURE Search CONFORMAL+MEASURE
5 COMPLEX DYNAMICS 307255 4% 24% 71 Search COMPLEX+DYNAMICS Search COMPLEX+DYNAMICS
6 RATIONAL SEMIGROUPS 267974 1% 100% 15 Search RATIONAL+SEMIGROUPS Search RATIONAL+SEMIGROUPS
7 WANDERING DOMAIN 211552 1% 79% 15 Search WANDERING+DOMAIN Search WANDERING+DOMAIN
8 MANDELBROT SET 192861 2% 35% 31 Search MANDELBROT+SET Search MANDELBROT+SET
9 RANDOM COMPLEX DYNAMICS 178649 1% 100% 10 Search RANDOM+COMPLEX+DYNAMICS Search RANDOM+COMPLEX+DYNAMICS
10 BAKER DOMAIN 160784 1% 100% 9 Search BAKER+DOMAIN Search BAKER+DOMAIN

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 20837 MANDELBROT SET//GENERALIZED M J SETS//JULIA SET
2 15742 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
3 4572 DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR
4 6991 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
5 4970 CIRCLE HOMEOMORPHISM//CRITICAL CIRCLE MAPS//ROTATION NUMBER
6 13845 TEICHMULLER SPACE//STREBEL POINT//HAMILTON SEQUENCE
7 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
8 5231 TOPOLOGICAL ENTROPY//DISTRIBUTIONAL CHAOS//SCRAMBLED SET
9 37420 ABELFUNCTION//INFRA LOGARITHM FUNCTIONS//ULTRA EXPONENTIAL FUNCTIONAL EQUATION
10 24562 TAKAGI FUNCTION//APPROXIMATE CONVEXITY//SINGULAR FUNCTIONS

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