Class information for:
Level 1: OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS

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
23297 1                   OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS 373

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 OUTER BILLIARDS authKW 851987 3% 92% 11
2 PONCELET THEOREM authKW 506968 2% 100% 6
3 DUAL BILLIARDS authKW 422474 1% 100% 5
4 BIRKHOFF CONJECTURE authKW 337979 1% 100% 4
5 ALGEBRAIC GEODESICS authKW 253484 1% 100% 3
6 ISOPTIC authKW 253484 1% 100% 3
7 MATHEMATICAL BILLIARDS authKW 253484 1% 100% 3
8 PENROSE KITE authKW 253484 1% 100% 3
9 PERIODIC BILLIARD TRAJECTORIES authKW 225317 1% 67% 4
10 PONCELET PORISM authKW 190112 1% 75% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 8015 63% 0% 235
2 Mathematics, Applied 2636 34% 0% 126
3 Physics, Mathematical 2023 21% 0% 78
4 Mechanics 334 11% 0% 42
5 Physics, Multidisciplinary 151 11% 0% 40
6 Education, Scientific Disciplines 59 2% 0% 8
7 Mathematics, Interdisciplinary Applications 14 2% 0% 7
8 History & Philosophy of Science 5 1% 0% 2
9 Physics, Particles & Fields 5 2% 0% 8
10 Physics, Fluids & Plasmas 2 1% 0% 4

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CNRSUNITE MATH PU PLUMR 5669UMI 2615MR 84495 0% 100% 1
2 CPMOH UMR 5798 84495 0% 100% 1
3 I PL PHYS NELLO CARRARA 84495 0% 100% 1
4 JV PONCELETUMPA 84495 0% 100% 1
5 KATEDRA MATEMAT STOSOWANEJ 84495 0% 100% 1
6 KATEDRA MATEMATYKI STOSOWANEJ 84495 0% 100% 1
7 MATEMAT ESTAT IMERL 84495 0% 100% 1
8 MATH PHYS GMUP 84495 0% 100% 1
9 SORBONNE UNIVCNRSIMJ PRGUMR 7586 84495 0% 100% 1
10 STN CENTRE VILLE MONTRAL 84495 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 REGULAR & CHAOTIC DYNAMICS 17065 3% 2% 12
2 JOURNAL OF MODERN DYNAMICS 16885 2% 3% 7
3 AMERICAN MATHEMATICAL MONTHLY 13430 6% 1% 21
4 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 9847 3% 1% 11
5 JOURNAL OF CONVEX ANALYSIS 7621 2% 1% 9
6 ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES 6845 1% 3% 3
7 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 4114 3% 0% 10
8 GEOMETRIAE DEDICATA 4001 3% 0% 12
9 RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA 3646 1% 1% 4
10 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 3010 1% 1% 4

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 OUTER BILLIARDS 851987 3% 92% 11 Search OUTER+BILLIARDS Search OUTER+BILLIARDS
2 PONCELET THEOREM 506968 2% 100% 6 Search PONCELET+THEOREM Search PONCELET+THEOREM
3 DUAL BILLIARDS 422474 1% 100% 5 Search DUAL+BILLIARDS Search DUAL+BILLIARDS
4 BIRKHOFF CONJECTURE 337979 1% 100% 4 Search BIRKHOFF+CONJECTURE Search BIRKHOFF+CONJECTURE
5 ALGEBRAIC GEODESICS 253484 1% 100% 3 Search ALGEBRAIC+GEODESICS Search ALGEBRAIC+GEODESICS
6 ISOPTIC 253484 1% 100% 3 Search ISOPTIC Search ISOPTIC
7 MATHEMATICAL BILLIARDS 253484 1% 100% 3 Search MATHEMATICAL+BILLIARDS Search MATHEMATICAL+BILLIARDS
8 PENROSE KITE 253484 1% 100% 3 Search PENROSE+KITE Search PENROSE+KITE
9 PERIODIC BILLIARD TRAJECTORIES 225317 1% 67% 4 Search PERIODIC+BILLIARD+TRAJECTORIES Search PERIODIC+BILLIARD+TRAJECTORIES
10 PONCELET PORISM 190112 1% 75% 3 Search PONCELET+PORISM Search PONCELET+PORISM

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 38429 PLANE CURVATURE//STRICTLY LOCALLY CONVEX CURVE//STRICTLY CONVEX CURVE
3 34463 BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//PROBLEMS OF MINIMAL RESISTANCE
4 12805 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//REGULAR & CHAOTIC DYNAMICS
5 14869 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
6 29572 INSTABILITY OF EQUILIBRIUM//LYAPUNOV FIRST METHOD//SPIN LIGHT
7 8523 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
8 4572 DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR
9 22543 HAMILTONIAN MONODROMY//UMR 8101//ENERGY MOMENTUM MAP
10 24738 SKEW LOOP//TANTRIX//CURVATURE BOUNDED ABOVE

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