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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14899 743 21.3 47%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1098 2             HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS 9817
14899 1                   TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS 743

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 TRANSLATION SURFACE authKW 918256 5% 62% 36
2 INTERVAL EXCHANGE TRANSFORMATION authKW 570756 3% 56% 25
3 VEECH GROUPS authKW 536986 2% 93% 14
4 TEICHMULLER FLOW authKW 496086 2% 93% 13
5 KONTSEVICH ZORICH COCYCLE authKW 493152 2% 100% 12
6 TEICHMULLER CURVES authKW 486657 2% 79% 15
7 TEICHMULLER GEODESIC FLOW authKW 410960 1% 100% 10
8 RAUZY INDUCTION authKW 394517 2% 80% 12
9 POLYGONAL BILLIARDS authKW 385264 2% 63% 15
10 PIECEWISE ISOMETRY authKW 342463 1% 83% 10

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 20790 71% 0% 531
2 Mathematics, Applied 6753 38% 0% 283
3 Physics, Mathematical 2866 18% 0% 132
4 Mathematics, Interdisciplinary Applications 111 3% 0% 24
5 Engineering, Electrical & Electronic 27 6% 0% 47
6 Physics, Multidisciplinary 9 3% 0% 26
7 Mechanics 9 2% 0% 17
8 Telecommunications 5 1% 0% 10
9 Physics, Fluids & Plasmas 2 1% 0% 7
10 Computer Science, Theory & Methods 0 1% 0% 6

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 IMB BORDEAUX 205480 1% 100% 5
2 FEDERAT RECH UNITES MATH MARSEILLE 184923 1% 50% 9
3 ANAL TOPOL PROBABILITES CMI 41096 0% 100% 1
4 CASE COUR A 41096 0% 100% 1
5 CNR CONSORZIO UNITA PARMA 41096 0% 100% 1
6 CNRS URA 1304 41096 0% 100% 1
7 EDIF B 41096 0% 100% 1
8 ELECT IT MATH 41096 0% 100% 1
9 FAK ELEKTROTEHN RACUNAINISTVO INFORMAT 41096 0% 100% 1
10 FDN RECH UNITES MATH MARSEILLE 41096 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF MODERN DYNAMICS 247781 5% 16% 37
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS 70071 9% 3% 64
3 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 27979 2% 4% 17
4 GEOMETRIAE DEDICATA 14933 4% 1% 33
5 NONLINEARITY 13735 4% 1% 33
6 GEOMETRY & TOPOLOGY 12117 2% 2% 16
7 GEOMETRIC AND FUNCTIONAL ANALYSIS 11310 2% 2% 17
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 11058 4% 1% 30
9 MOSCOW MATHEMATICAL JOURNAL 8842 1% 2% 11
10 ANNALS OF MATHEMATICS 7590 2% 1% 18

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 TRANSLATION SURFACE 918256 5% 62% 36 Search TRANSLATION+SURFACE Search TRANSLATION+SURFACE
2 INTERVAL EXCHANGE TRANSFORMATION 570756 3% 56% 25 Search INTERVAL+EXCHANGE+TRANSFORMATION Search INTERVAL+EXCHANGE+TRANSFORMATION
3 VEECH GROUPS 536986 2% 93% 14 Search VEECH+GROUPS Search VEECH+GROUPS
4 TEICHMULLER FLOW 496086 2% 93% 13 Search TEICHMULLER+FLOW Search TEICHMULLER+FLOW
5 KONTSEVICH ZORICH COCYCLE 493152 2% 100% 12 Search KONTSEVICH+ZORICH+COCYCLE Search KONTSEVICH+ZORICH+COCYCLE
6 TEICHMULLER CURVES 486657 2% 79% 15 Search TEICHMULLER+CURVES Search TEICHMULLER+CURVES
7 TEICHMULLER GEODESIC FLOW 410960 1% 100% 10 Search TEICHMULLER+GEODESIC+FLOW Search TEICHMULLER+GEODESIC+FLOW
8 RAUZY INDUCTION 394517 2% 80% 12 Search RAUZY+INDUCTION Search RAUZY+INDUCTION
9 POLYGONAL BILLIARDS 385264 2% 63% 15 Search POLYGONAL+BILLIARDS Search POLYGONAL+BILLIARDS
10 PIECEWISE ISOMETRY 342463 1% 83% 10 Search PIECEWISE+ISOMETRY Search PIECEWISE+ISOMETRY

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 FORNI, G , MATHEUS, C , (2014) INTRODUCTION TO TEICHMULLER THEORY AND ITS APPLICATIONS TO DYNAMICS OF INTERVAL EXCHANGE TRANSFORMATIONS, FLOWS ON SURFACES AND BILLIARDS.JOURNAL OF MODERN DYNAMICS. VOL. 8. ISSUE 3-4. P. 271 -436 42 89% 1
2 MATHEUS, C , WRIGHT, A , (2015) HODGE-TEICHMULLER PLANES AND FINITENESS RESULTS FOR TEICHMULLER CURVES.DUKE MATHEMATICAL JOURNAL. VOL. 164. ISSUE 6. P. 1041 -1077 33 97% 3
3 ATHREYA, JS , ESKIN, A , ZORICH, A , CHAIKA, J , (2016) RIGHT-ANGLED BILLIARDS AND VOLUMES OF MODULI SPACES OF QUADRATIC DIFFERENTIALS ON CP1.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 49. ISSUE 6. P. 1311 -1386 34 92% 0
4 LANNEAU, E , NGUYEN, DM , (2016) COMPLETE PERIODICITY OF PRYM EIGENFORMS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 49. ISSUE 1. P. 87 -130 29 97% 0
5 AULICINO, D , NGUYEN, DM , WRIGHT, A , (2016) CLASSIFICATION OF HIGHER RANK ORBIT CLOSURES IN H-ODD (4).JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 18. ISSUE 8. P. 1855 -1872 28 100% 0
6 FRACZEK, K , ULCIGRAI, C , (2014) NON-ERGODIC Z-PERIODIC BILLIARDS AND INFINITE TRANSLATION SURFACES.INVENTIONES MATHEMATICAE. VOL. 197. ISSUE 2. P. 241 -298 28 93% 6
7 LANNEAU, E , NGUYEN, DM , (2016) GL(+) (2, R)-ORBITS IN PRYM EIGENFORM LOCI.GEOMETRY & TOPOLOGY. VOL. 20. ISSUE 3. P. 1359 -1426 26 100% 0
8 FILIP, S , (2016) SPLITTING MIXED HODGE STRUCTURES OVER AFFINE INVARIANT MANIFOLDS.ANNALS OF MATHEMATICS. VOL. 183. ISSUE 2. P. 681 -713 21 100% 3
9 GUTKIN, E , (2012) BILLIARD DYNAMICS: AN UPDATED SURVEY WITH THE EMPHASIS ON OPEN PROBLEMS.CHAOS. VOL. 22. ISSUE 2. P. - 47 54% 11
10 YOCCOZ, JC , (2009) INTERVAL EXCHANGES AND TRANSLATION SURFACES.ASTERISQUE. VOL. . ISSUE 326. P. 387-409 33 87% 0

Classes with closest relation at Level 1


Rank Class id link
1 25852 CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE
2 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
3 28574 BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//MODIFIED RAYLEIGH CONJECTURE
4 12689 ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION
5 19134 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
6 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES
7 6860 LORENTZ GAS//BILLIARDS//ESTAT MATEMAT LICADA COMPUTACAO
8 5684 COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS
9 14311 TILING SPACES//DELONE SETS//MODEL SET
10 20817 INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS

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