Class information for:
Level 1: TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS

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
14869 1                   TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS 771

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TRANSLATION SURFACE authKW 951996 5% 61% 38
2 INTERVAL EXCHANGE TRANSFORMATION authKW 818358 4% 65% 31
3 VEECH GROUPS authKW 654023 2% 100% 16
4 RAUZY INDUCTION authKW 534117 2% 93% 14
5 PSEUDO ANOSOV authKW 527386 3% 56% 23
6 TEICHMULLER CURVES authKW 523212 2% 80% 16
7 KONTSEVICH ZORICH COCYCLE authKW 490517 2% 100% 12
8 TEICHMULLER FLOW authKW 431752 2% 81% 13
9 TEICHMULLER GEODESIC FLOW authKW 408764 1% 100% 10
10 POLYGONAL BILLIARDS authKW 333813 2% 58% 14

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 33895 89% 0% 689
2 Mathematics, Applied 4084 29% 0% 227
3 Physics, Mathematical 547 8% 0% 62
4 Mathematics, Interdisciplinary Applications 3 1% 0% 7
5 Physics, Fluids & Plasmas 1 1% 0% 6
6 Multidisciplinary Sciences 0 0% 0% 3
7 Automation & Control Systems 0 1% 0% 4
8 Mechanics 0 1% 0% 9
9 Computer Science, Theory & Methods -0 1% 0% 4
10 Computer Science, Information Systems -1 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IMB BORDEAUX 204382 1% 100% 5
2 FEDERAT RECH UNITES MATH MARSEILLE 183935 1% 50% 9
3 FR 2291 80108 1% 28% 7
4 FEDERAT RECH UNIT MATH MARSEILLE 54501 0% 67% 2
5 UNITES MATH MARSEILLE 45982 0% 38% 3
6 MATH LUMINY 45635 2% 6% 18
7 ANAL TOPOL PROBABILITES CMI 40876 0% 100% 1
8 CASE COUR A 40876 0% 100% 1
9 CNRS URA 1304 40876 0% 100% 1
10 CNRSUFR MATH PURE PL 40876 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF MODERN DYNAMICS 253702 5% 16% 39
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS 59292 8% 2% 60
3 GEOMETRY & TOPOLOGY 23357 3% 2% 23
4 GEOMETRIAE DEDICATA 13783 4% 1% 32
5 GEOMETRIC AND FUNCTIONAL ANALYSIS 12296 2% 2% 18
6 ANNALS OF MATHEMATICS 9157 3% 1% 20
7 ANNALES DE L INSTITUT FOURIER 9078 3% 1% 22
8 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 7316 2% 1% 13
9 COMMENTARII MATHEMATICI HELVETICI 7150 2% 1% 15
10 MOSCOW MATHEMATICAL JOURNAL 5691 1% 2% 9

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TRANSLATION SURFACE 951996 5% 61% 38 Search TRANSLATION+SURFACE Search TRANSLATION+SURFACE
2 INTERVAL EXCHANGE TRANSFORMATION 818358 4% 65% 31 Search INTERVAL+EXCHANGE+TRANSFORMATION Search INTERVAL+EXCHANGE+TRANSFORMATION
3 VEECH GROUPS 654023 2% 100% 16 Search VEECH+GROUPS Search VEECH+GROUPS
4 RAUZY INDUCTION 534117 2% 93% 14 Search RAUZY+INDUCTION Search RAUZY+INDUCTION
5 PSEUDO ANOSOV 527386 3% 56% 23 Search PSEUDO+ANOSOV Search PSEUDO+ANOSOV
6 TEICHMULLER CURVES 523212 2% 80% 16 Search TEICHMULLER+CURVES Search TEICHMULLER+CURVES
7 KONTSEVICH ZORICH COCYCLE 490517 2% 100% 12 Search KONTSEVICH+ZORICH+COCYCLE Search KONTSEVICH+ZORICH+COCYCLE
8 TEICHMULLER FLOW 431752 2% 81% 13 Search TEICHMULLER+FLOW Search TEICHMULLER+FLOW
9 TEICHMULLER GEODESIC FLOW 408764 1% 100% 10 Search TEICHMULLER+GEODESIC+FLOW Search TEICHMULLER+GEODESIC+FLOW
10 POLYGONAL BILLIARDS 333813 2% 58% 14 Search POLYGONAL+BILLIARDS Search POLYGONAL+BILLIARDS

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 25810 PIECEWISE ISOMETRY//PIECEWISE ISOMETRIES//TWOS COMPLEMENT ARITHMETIC
2 20968 ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM
3 29800 MORSE FORM FOLIATION//CLOSED 1 FORMS//COMPACT LEAVES
4 23297 OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS
5 1037 GROUPS GEOMETRY AND DYNAMICS//HYPERBOLIC GROUPS//RELATIVELY HYPERBOLIC GROUPS
6 14240 ERGODIC THEORY AND DYNAMICAL SYSTEMS//C F CONSTRUCTION//INFINITE MEASURE PRESERVING
7 11527 DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION
8 20370 MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS
9 7714 COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS
10 4572 DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR

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