Class information for:
Level 1: DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION

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
11527 1                   DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION 1002

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIOPHANTINE APPROXIMATION authKW 855860 9% 30% 92
2 FORMAL LAURENT SERIES authKW 309673 2% 62% 16
3 METRIC DIOPHANTINE APPROXIMATION authKW 295296 1% 72% 13
4 SCHMIDTS GAME authKW 283071 1% 100% 9
5 INHOMOGENEOUS DIOPHANTINE APPROXIMATION authKW 241937 1% 77% 10
6 SIMULTANEOUS DIOPHANTINE APPROXIMATION authKW 241937 1% 77% 10
7 UNIPOTENT FLOWS authKW 161753 1% 86% 6
8 FLOWS ON HOMOGENEOUS SPACES authKW 157262 0% 100% 5
9 LOGARITHM LAWS authKW 157262 0% 100% 5
10 PRODUCT OF LINEAR FORMS authKW 157262 0% 100% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 50231 95% 0% 955
2 Mathematics, Applied 2099 19% 0% 191
3 Multidisciplinary Sciences 29 1% 0% 12
4 Statistics & Probability 7 1% 0% 12
5 Physics, Mathematical 4 1% 0% 13
6 Computer Science, Theory & Methods -0 1% 0% 6
7 Computer Science, Hardware & Architecture -1 0% 0% 1
8 Mechanics -8 0% 0% 2
9 Physics, Multidisciplinary -15 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUMBER THEORY 43540 1% 23% 6
2 ANAL 1142 31452 0% 100% 1
3 EQUIPE THEORIE ERGOD SYST DYNAMUMR 7599 31452 0% 100% 1
4 FOR GRP KONVEXE DISKRETE GEOMETR 31452 0% 100% 1
5 LAMA 61 31452 0% 100% 1
6 MATH DORSAYUMR 8628 31452 0% 100% 1
7 MATH ORSAY UMR 8628 31452 0% 100% 1
8 MATH PLICAT FUZZY MODELING 31452 0% 100% 1
9 MS 050 31452 0% 100% 1
10 PROJET SISYPHE 31452 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 58331 8% 2% 78
2 JOURNAL OF MODERN DYNAMICS 46309 2% 8% 19
3 ERGODIC THEORY AND DYNAMICAL SYSTEMS 39711 6% 2% 56
4 JOURNAL OF NUMBER THEORY 18839 5% 1% 54
5 DUKE MATHEMATICAL JOURNAL 17842 4% 1% 41
6 MATHEMATIKA 10168 2% 2% 17
7 ANNALS OF MATHEMATICS 10142 2% 1% 24
8 ISRAEL JOURNAL OF MATHEMATICS 9980 3% 1% 35
9 MONATSHEFTE FUR MATHEMATIK 8384 2% 1% 25
10 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 8337 1% 3% 8

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DIOPHANTINE APPROXIMATION 855860 9% 30% 92 Search DIOPHANTINE+APPROXIMATION Search DIOPHANTINE+APPROXIMATION
2 FORMAL LAURENT SERIES 309673 2% 62% 16 Search FORMAL+LAURENT+SERIES Search FORMAL+LAURENT+SERIES
3 METRIC DIOPHANTINE APPROXIMATION 295296 1% 72% 13 Search METRIC+DIOPHANTINE+APPROXIMATION Search METRIC+DIOPHANTINE+APPROXIMATION
4 SCHMIDTS GAME 283071 1% 100% 9 Search SCHMIDTS+GAME Search SCHMIDTS+GAME
5 INHOMOGENEOUS DIOPHANTINE APPROXIMATION 241937 1% 77% 10 Search INHOMOGENEOUS+DIOPHANTINE+APPROXIMATION Search INHOMOGENEOUS+DIOPHANTINE+APPROXIMATION
6 SIMULTANEOUS DIOPHANTINE APPROXIMATION 241937 1% 77% 10 Search SIMULTANEOUS+DIOPHANTINE+APPROXIMATION Search SIMULTANEOUS+DIOPHANTINE+APPROXIMATION
7 UNIPOTENT FLOWS 161753 1% 86% 6 Search UNIPOTENT+FLOWS Search UNIPOTENT+FLOWS
8 FLOWS ON HOMOGENEOUS SPACES 157262 0% 100% 5 Search FLOWS+ON+HOMOGENEOUS+SPACES Search FLOWS+ON+HOMOGENEOUS+SPACES
9 LOGARITHM LAWS 157262 0% 100% 5 Search LOGARITHM+LAWS Search LOGARITHM+LAWS
10 PRODUCT OF LINEAR FORMS 157262 0% 100% 5 Search PRODUCT+OF+LINEAR+FORMS Search PRODUCT+OF+LINEAR+FORMS

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 10996 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//PATTERSON SULLIVAN MEASURE
2 23674 MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS
3 31534 CURLICUES//ANALOGUE COMPUTERS//INCOMPLETE GAUSS SUM
4 14869 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
5 18437 CONTINUED FRACTIONS//LUROTH SERIES//OPPENHEIM SERIES EXPANSION
6 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
7 19456 SOFIC GROUPS//ALGEBRAIC ENTROPY//ALGEBRAIC ACTION
8 25545 NORMAL NUMBERS//CANTOR SERIES//BBP TYPE FORMULAE
9 27689 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//KHABAROVSK
10 17822 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION

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