Class information for:
Level 1: HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM

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
3186 1                   HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM 2076

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HAUSDORFF DIMENSION authKW 1247644 15% 27% 304
2 SELF SIMILAR SET authKW 645758 4% 55% 78
3 ITERATED FUNCTION SYSTEM authKW 627020 7% 29% 142
4 SELF SIMILAR MEASURE authKW 384449 2% 59% 43
5 PACKING MEASURE authKW 347310 1% 74% 31
6 PACKING DIMENSION authKW 342833 2% 47% 48
7 MORAN SET authKW 312262 1% 86% 24
8 OPEN SET CONDITION authKW 307376 1% 75% 27
9 LIPSCHITZ EQUIVALENCE authKW 306121 1% 92% 22
10 QUANTIZATION DIMENSION authKW 243717 1% 94% 17

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 57896 72% 0% 1485
2 Mathematics, Applied 20275 39% 0% 819
3 Physics, Mathematical 7447 17% 0% 356
4 Mathematics, Interdisciplinary Applications 1634 7% 0% 141
5 Statistics & Probability 755 5% 0% 107
6 Physics, Multidisciplinary 56 4% 0% 87
7 Computer Science, Software Engineering 0 1% 0% 12
8 Computer Science, Theory & Methods -0 1% 0% 13
9 Multidisciplinary Sciences -1 0% 0% 4
10 Mining & Mineral Processing -1 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANAL ECON 1 53122 0% 50% 7
2 MATH 34346 48% 0% 1001
3 EQUIPE SOSSO2 30359 0% 100% 2
4 MCMS 30359 0% 100% 2
5 GRP LICAC MATEMAT ESTADIST 25293 0% 33% 5
6 ANAL MATH PLIQUEES 23711 0% 31% 5
7 MATH SYST SCI LMIB 20238 0% 67% 2
8 SSOR 20238 0% 67% 2
9 MTA BME STOCHAST GRP 17343 0% 29% 4
10 AG DYNAM SYST GEOMETRY 15180 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 73942 5% 4% 110
2 NONLINEARITY 65136 6% 4% 120
3 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 37719 3% 5% 55
4 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 22913 3% 2% 70
5 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 19471 1% 5% 24
6 STOCHASTICS AND DYNAMICS 18851 1% 5% 23
7 MONATSHEFTE FUR MATHEMATIK 14293 2% 2% 47
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 13943 3% 2% 57
9 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 12183 1% 3% 30
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 9692 6% 1% 118

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HAUSDORFF DIMENSION 1247644 15% 27% 304 Search HAUSDORFF+DIMENSION Search HAUSDORFF+DIMENSION
2 SELF SIMILAR SET 645758 4% 55% 78 Search SELF+SIMILAR+SET Search SELF+SIMILAR+SET
3 ITERATED FUNCTION SYSTEM 627020 7% 29% 142 Search ITERATED+FUNCTION+SYSTEM Search ITERATED+FUNCTION+SYSTEM
4 SELF SIMILAR MEASURE 384449 2% 59% 43 Search SELF+SIMILAR+MEASURE Search SELF+SIMILAR+MEASURE
5 PACKING MEASURE 347310 1% 74% 31 Search PACKING+MEASURE Search PACKING+MEASURE
6 PACKING DIMENSION 342833 2% 47% 48 Search PACKING+DIMENSION Search PACKING+DIMENSION
7 MORAN SET 312262 1% 86% 24 Search MORAN+SET Search MORAN+SET
8 OPEN SET CONDITION 307376 1% 75% 27 Search OPEN+SET+CONDITION Search OPEN+SET+CONDITION
9 LIPSCHITZ EQUIVALENCE 306121 1% 92% 22 Search LIPSCHITZ+EQUIVALENCE Search LIPSCHITZ+EQUIVALENCE
10 QUANTIZATION DIMENSION 243717 1% 94% 17 Search QUANTIZATION+DIMENSION Search QUANTIZATION+DIMENSION

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 15138 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING
2 9270 BETA EXPANSION//PISOT NUMBERS//CANONICAL NUMBER SYSTEM
3 18554 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
4 23211 NON DOUBLING MEASURE//RBMOMU//ANALYTIC CAPACITY
5 18437 CONTINUED FRACTIONS//LUROTH SERIES//OPPENHEIM SERIES EXPANSION
6 24299 CHAINS WITH COMPLETE CONNECTIONS//CHAINS OF INFINITE ORDER//SCI PL RENNES
7 24562 TAKAGI FUNCTION//APPROXIMATE CONVEXITY//SINGULAR FUNCTIONS
8 4572 DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR
9 22071 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
10 14125 LOCAL LYAPUNOV EXPONENT//LOCAL EXPANSION RATE//MEAN LYAPUNOV EXPONENT

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