Class information for:
Level 2: NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2047 5355 19.0 36%


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
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
2047 2             NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE 5355
5722 1                   TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS 1583
11113 1                   HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY 1007
13823 1                   COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE 811
14508 1                   NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP 765
17793 1                   NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER 582
19740 1                   ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL 491
34098 1                   FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS 116

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 NIELSEN NUMBER authKW 434871 2% 94% 81
2 MATHEMATICS WoSSC 245852 91% 1% 4876
3 TEICHMULLER SPACE authKW 211878 2% 42% 89
4 KLEINIAN GROUPS authKW 194981 1% 54% 63
5 FLAT MANIFOLD authKW 175885 1% 86% 36
6 LEFSCHETZ NUMBER authKW 141862 1% 54% 46
7 MAPPING CLASS GROUP authKW 128801 2% 26% 86
8 NOVIKOV ALGEBRA authKW 125915 1% 82% 27
9 GEOMETRIAE DEDICATA journal 124725 5% 9% 256
10 REIDEMEISTER NUMBER authKW 114952 0% 92% 22

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 245852 91% 1% 4876
2 Mathematics, Applied 16541 23% 0% 1222
3 Physics, Mathematical 1246 5% 0% 264
4 Multidisciplinary Sciences 30 1% 0% 36
5 Logic 1 0% 0% 4
6 Physics, Multidisciplinary 0 2% 0% 107
7 History & Philosophy of Science -5 0% 0% 1
8 Imaging Science & Photographic Technology -5 0% 0% 3
9 Education, Scientific Disciplines -6 0% 0% 4
10 Mathematics, Interdisciplinary Applications -7 0% 0% 13

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 MATH 60161 40% 1% 2125
2 IME 18228 1% 7% 48
3 WIMCS 15198 0% 67% 4
4 MATH PHD PROGRAM 12818 0% 38% 6
5 CNRS UMI 2842 11401 0% 100% 2
6 ECOLE DOCTORALE SYST DYNAM GEOMETRIE 11401 0% 100% 2
7 MATH UA 1407 CNRS GDR 144 11401 0% 100% 2
8 CIEM 8638 0% 8% 18
9 RECH MATH AVANCEE 8379 1% 5% 28
10 MATEMAT 8003 4% 1% 207

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 GEOMETRIAE DEDICATA 124725 5% 9% 256
2 JOURNAL OF DIFFERENTIAL GEOMETRY 69945 3% 8% 145
3 GEOMETRY & TOPOLOGY 68303 2% 12% 102
4 ERGODIC THEORY AND DYNAMICAL SYSTEMS 57558 3% 7% 156
5 TOPOLOGY AND ITS APPLICATIONS 39057 4% 3% 205
6 GEOMETRIC AND FUNCTIONAL ANALYSIS 28090 1% 7% 72
7 TOPOLOGY 27892 1% 6% 80
8 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 22761 1% 6% 66
9 JOURNAL OF MODERN DYNAMICS 22548 1% 13% 30
10 COMMENTARII MATHEMATICI HELVETICI 21879 1% 6% 70

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 NIELSEN NUMBER 434871 2% 94% 81 Search NIELSEN+NUMBER Search NIELSEN+NUMBER
2 TEICHMULLER SPACE 211878 2% 42% 89 Search TEICHMULLER+SPACE Search TEICHMULLER+SPACE
3 KLEINIAN GROUPS 194981 1% 54% 63 Search KLEINIAN+GROUPS Search KLEINIAN+GROUPS
4 FLAT MANIFOLD 175885 1% 86% 36 Search FLAT+MANIFOLD Search FLAT+MANIFOLD
5 LEFSCHETZ NUMBER 141862 1% 54% 46 Search LEFSCHETZ+NUMBER Search LEFSCHETZ+NUMBER
6 MAPPING CLASS GROUP 128801 2% 26% 86 Search MAPPING+CLASS+GROUP Search MAPPING+CLASS+GROUP
7 NOVIKOV ALGEBRA 125915 1% 82% 27 Search NOVIKOV+ALGEBRA Search NOVIKOV+ALGEBRA
8 REIDEMEISTER NUMBER 114952 0% 92% 22 Search REIDEMEISTER+NUMBER Search REIDEMEISTER+NUMBER
9 INFRA NILMANIFOLD 103638 0% 91% 20 Search INFRA+NILMANIFOLD Search INFRA+NILMANIFOLD
10 NIELSEN FIXED POINT THEORY 102605 0% 100% 18 Search NIELSEN+FIXED+POINT+THEORY Search NIELSEN+FIXED+POINT+THEORY

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 LECUIRE, C , (2014) TERMINAL MODELS AND LAMINATIONS [ACCORDING TO MINSKY AND BROCK- CANARY- MINSKY].ASTERISQUE. VOL. . ISSUE 361. P. 299 -323 33 97% 0
2 DE LA LLAVE, R , WINDSOR, A , (2010) LIVSIC THEOREMS FOR NON-COMMUTATIVE GROUPS INCLUDING DIFFEOMORPHISM GROUPS AND RESULTS ON THE EXISTENCE OF CONFORMAL STRUCTURES FOR ANOSOV SYSTEMS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 30. ISSUE . P. 1055-1100 35 95% 9
3 PATERNAIN, GP , SALO, M , UHLMANN, G , (2014) TENSOR TOMOGRAPHY: PROGRESS AND CHALLENGES.CHINESE ANNALS OF MATHEMATICS SERIES B. VOL. 35. ISSUE 3. P. 399-428 30 91% 4
4 BROCK, JF , BROMBERG, KW , CANARY, RD , MINSKY, YN , (2011) LOCAL TOPOLOGY IN DEFORMATION SPACES OF HYPERBOLIC 3-MANIFOLDS.GEOMETRY & TOPOLOGY. VOL. 15. ISSUE 2. P. 1169 -1224 31 94% 6
5 WOLPERT, SA , (2012) GEODESIC-LENGTH FUNCTIONS AND THE WEIL-PETERSSON CURVATURE TENSOR.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 91. ISSUE 2. P. 321-359 30 94% 4
6 STEFANOV, P , UHLMANN, G , VASY, A , (2016) BOUNDARY RIGIDITY WITH PARTIAL DATA.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 29. ISSUE 2. P. 299 -332 27 87% 1
7 BROCK, JF , CANARY, RD , MINSKY, YN , (2012) THE CLASSIFICATION OF KLEINIAN SURFACE GROUPS, II: THE ENDING LAMINATION CONJECTURE.ANNALS OF MATHEMATICS. VOL. 176. ISSUE 1. P. 1-149 30 79% 30
8 ANDERSON, JW , LECUIRE, C , (2013) STRONG CONVERGENCE OF KLEINIAN GROUPS: THE CRACKED EGGSHELL.COMMENTARII MATHEMATICI HELVETICI. VOL. 88. ISSUE 4. P. 813 -857 29 91% 0
9 HEATH, PR , (2015) GROUPOIDS AND RELATIONS AMONG REIDEMEISTER AND AMONG NIELSEN NUMBERS.TOPOLOGY AND ITS APPLICATIONS. VOL. 181. ISSUE . P. 3 -33 24 100% 1
10 BONSANTE, F , MONDELLO, G , SCHLENKER, JM , (2015) A CYCLIC EXTENSION OF THE EARTHQUAKE FLOW II.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 48. ISSUE 4. P. 811 -859 29 81% 1

Classes with closest relation at Level 2


Rank Class id link
1 1679 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION//MATHEMATICS//CONJUGACY PROBLEM
2 885 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
3 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
4 1098 HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS
5 3335 GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//INFINITESIMAL RIGIDITY
6 3900 FINSLER METRIC//ALPHA BETA METRIC//FLAG CURVATURE
7 291 MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
8 2311 UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS
9 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
10 2045 DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA

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