Class information for:
Level 2: ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET

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
4572 1                   DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR 1790
4710 1                   JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS 1764
10996 1                   HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//PATTERSON SULLIVAN MEASURE 1045
11527 1                   DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION 1002
14240 1                   ERGODIC THEORY AND DYNAMICAL SYSTEMS//C F CONSTRUCTION//INFINITE MEASURE PRESERVING 814
14869 1                   TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS 771
18437 1                   CONTINUED FRACTIONS//LUROTH SERIES//OPPENHEIM SERIES EXPANSION 576
19456 1                   SOFIC GROUPS//ALGEBRAIC ENTROPY//ALGEBRAIC ACTION 528
23297 1                   OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS 373
24299 1                   CHAINS WITH COMPLETE CONNECTIONS//CHAINS OF INFINITE ORDER//SCI PL RENNES 340
24562 1                   TAKAGI FUNCTION//APPROXIMATE CONVEXITY//SINGULAR FUNCTIONS 331
25810 1                   PIECEWISE ISOMETRY//PIECEWISE ISOMETRIES//TWOS COMPLEMENT ARITHMETIC 293

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 938495 8% 38% 930
2 HAUSDORFF DIMENSION authKW 619738 4% 45% 509
3 JULIA SET authKW 379713 2% 61% 231
4 MATHEMATICS WoSSC 354753 75% 2% 8719
5 NONLINEARITY journal 143936 4% 13% 424
6 ITERATED FUNCTION SYSTEM authKW 142727 1% 33% 161
7 SELF SIMILAR SET authKW 135897 1% 59% 85
8 TRANSFER OPERATOR authKW 122779 1% 53% 86
9 MATH address 122146 39% 1% 4514
10 JOURNAL OF MODERN DYNAMICS journal 118684 1% 42% 104

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 354753 75% 2% 8719
2 Mathematics, Applied 76979 33% 1% 3820
3 Physics, Mathematical 25930 14% 1% 1596
4 Statistics & Probability 3049 4% 0% 521
5 Mathematics, Interdisciplinary Applications 1325 3% 0% 338
6 Physics, Multidisciplinary 162 4% 0% 415
7 Computer Science, Theory & Methods 31 1% 0% 136
8 Physics, Fluids & Plasmas 8 1% 0% 92
9 Multidisciplinary Sciences 3 0% 0% 43
10 History & Philosophy of Science 3 0% 0% 20

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 122146 39% 1% 4514
2 FEDERAT RECH UNITES MATH MARSEILLE 43205 0% 94% 17
3 THOMAS STIELTJES MATH 20696 0% 77% 10
4 IRMAR 19367 1% 8% 96
5 MATEMAT 13703 3% 1% 405
6 IMB BORDEAUX 13455 0% 100% 5
7 LAMFA 13194 0% 12% 41
8 MATH SCI 11940 6% 1% 647
9 ABC MATH PROGRAM 10983 0% 58% 7
10 FED RECH UNITES MATH MARSEILLE 10764 0% 100% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 938495 8% 38% 930
2 NONLINEARITY 143936 4% 13% 424
3 JOURNAL OF MODERN DYNAMICS 118684 1% 42% 104
4 ISRAEL JOURNAL OF MATHEMATICS 69511 3% 8% 316
5 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 68017 3% 9% 299
6 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 40257 1% 18% 82
7 MONATSHEFTE FUR MATHEMATIK 32273 1% 7% 168
8 STOCHASTICS AND DYNAMICS 27471 1% 16% 66
9 FUNDAMENTA MATHEMATICAE 23770 1% 7% 133
10 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 23220 1% 5% 168

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HAUSDORFF DIMENSION 619738 4% 45% 509 Search HAUSDORFF+DIMENSION Search HAUSDORFF+DIMENSION
2 JULIA SET 379713 2% 61% 231 Search JULIA+SET Search JULIA+SET
3 ITERATED FUNCTION SYSTEM 142727 1% 33% 161 Search ITERATED+FUNCTION+SYSTEM Search ITERATED+FUNCTION+SYSTEM
4 SELF SIMILAR SET 135897 1% 59% 85 Search SELF+SIMILAR+SET Search SELF+SIMILAR+SET
5 TRANSFER OPERATOR 122779 1% 53% 86 Search TRANSFER+OPERATOR Search TRANSFER+OPERATOR
6 THERMODYNAMIC FORMALISM 115592 1% 59% 73 Search THERMODYNAMIC+FORMALISM Search THERMODYNAMIC+FORMALISM
7 DIOPHANTINE APPROXIMATION 114292 1% 37% 115 Search DIOPHANTINE+APPROXIMATION Search DIOPHANTINE+APPROXIMATION
8 DECAY OF CORRELATIONS 112614 1% 70% 60 Search DECAY+OF+CORRELATIONS Search DECAY+OF+CORRELATIONS
9 ABSOLUTELY CONTINUOUS INVARIANT MEASURES 99057 0% 78% 47 Search ABSOLUTELY+CONTINUOUS+INVARIANT+MEASURES Search ABSOLUTELY+CONTINUOUS+INVARIANT+MEASURES
10 SELF SIMILAR MEASURE 92129 0% 68% 50 Search SELF+SIMILAR+MEASURE Search SELF+SIMILAR+MEASURE

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 2


rank cluster_id2 link
1 3592 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING
2 2336 COMBINATORICS ON WORDS//STURMIAN WORDS//BETA EXPANSION
3 2910 INVERSE LIMIT//CONTINUUM//TOPOLOGY AND ITS APPLICATIONS
4 1162 LIMIT CYCLE//ABELIAN INTEGRALS//NIELSEN NUMBER
5 1935 COUPLED MAP LATTICE//STRANGE NONCHAOTIC ATTRACTORS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
6 1026 MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY
7 3714 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
8 4176 CHABAUTY TOPOLOGY//IDEMPOTENT DISTRIBUTION//INDEPENDENT LINEAR STATISTICS
9 1020 C ALGEBRA//MATHEMATICS//CROSSED PRODUCT
10 4177 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM

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