Class information for:
Level 1: TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5722 1583 20.8 38%


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

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 TEICHMULLER SPACE authKW 669629 5% 40% 86
2 MAPPING CLASS GROUP authKW 426035 5% 26% 85
3 KLEINIAN GROUPS authKW 367245 3% 41% 47
4 PSEUDO ANOSOV authKW 300248 2% 65% 24
5 CURVE COMPLEX authKW 277393 2% 55% 26
6 WEIL PETERSSON METRIC authKW 229872 1% 57% 21
7 TEICHMULLER METRIC authKW 224432 1% 73% 16
8 LENGTH SPECTRUM METRIC authKW 192878 1% 100% 10
9 CANNON THURSTON MAP authKW 154303 1% 100% 8
10 MCSHANES IDENTITY authKW 154303 1% 100% 8

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 80331 96% 0% 1514
2 Mathematics, Applied 1955 15% 0% 237
3 Physics, Mathematical 49 2% 0% 36
4 Multidisciplinary Sciences -0 0% 0% 4
5 History & Philosophy of Science -0 0% 0% 1
6 Computer Science, Theory & Methods -1 1% 0% 9
7 Mathematics, Interdisciplinary Applications -2 0% 0% 4
8 Statistics & Probability -4 0% 0% 3
9 Automation & Control Systems -5 0% 0% 1
10 Computer Science, Software Engineering -6 0% 0% 1

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 PHD PROGRAM 43390 0% 38% 6
2 MATH 25986 48% 0% 755
3 HL HUNTER S 375 21910 0% 23% 5
4 ASSESSMENTS LESSONS LEARNED 19288 0% 100% 1
5 DEPARMENTO GEOMETRIA TOPOL 19288 0% 100% 1
6 DPTO MATEMAT FUNDAMENTALES 19288 0% 100% 1
7 HOWARD L HUNTER S 375 19288 0% 100% 1
8 MATH GEOMETRIE DIFFERENTIELLE 19288 0% 100% 1
9 MATH MC 382 19288 0% 100% 1
10 MATH UNIT BLG 19288 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 GEOMETRY & TOPOLOGY 109006 4% 8% 70
2 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 47970 3% 5% 52
3 GEOMETRIAE DEDICATA 45445 5% 3% 84
4 GEOMETRIC AND FUNCTIONAL ANALYSIS 30889 3% 4% 41
5 JOURNAL OF DIFFERENTIAL GEOMETRY 25940 3% 3% 48
6 JOURNAL OF TOPOLOGY 23062 1% 6% 20
7 ANNALS OF MATHEMATICS STUDIES 22112 1% 7% 16
8 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 21989 1% 13% 9
9 ALGEBRAIC AND GEOMETRIC TOPOLOGY 19956 2% 3% 35
10 DUKE MATHEMATICAL JOURNAL 19915 3% 2% 55

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 TEICHMULLER SPACE 669629 5% 40% 86 Search TEICHMULLER+SPACE Search TEICHMULLER+SPACE
2 MAPPING CLASS GROUP 426035 5% 26% 85 Search MAPPING+CLASS+GROUP Search MAPPING+CLASS+GROUP
3 KLEINIAN GROUPS 367245 3% 41% 47 Search KLEINIAN+GROUPS Search KLEINIAN+GROUPS
4 PSEUDO ANOSOV 300248 2% 65% 24 Search PSEUDO+ANOSOV Search PSEUDO+ANOSOV
5 CURVE COMPLEX 277393 2% 55% 26 Search CURVE+COMPLEX Search CURVE+COMPLEX
6 WEIL PETERSSON METRIC 229872 1% 57% 21 Search WEIL+PETERSSON+METRIC Search WEIL+PETERSSON+METRIC
7 TEICHMULLER METRIC 224432 1% 73% 16 Search TEICHMULLER+METRIC Search TEICHMULLER+METRIC
8 LENGTH SPECTRUM METRIC 192878 1% 100% 10 Search LENGTH+SPECTRUM+METRIC Search LENGTH+SPECTRUM+METRIC
9 CANNON THURSTON MAP 154303 1% 100% 8 Search CANNON+THURSTON+MAP Search CANNON+THURSTON+MAP
10 MCSHANES IDENTITY 154303 1% 100% 8 Search MCSHANES+IDENTITY Search MCSHANES+IDENTITY

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 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
3 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 30 91% 6
4 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
5 BROCK, J , BROMBERG, K , CANARY, R , LECUIRE, C , (2015) CONVERGENCE AND DIVERGENCE OF KLEINIAN SURFACE GROUPS.JOURNAL OF TOPOLOGY. VOL. 8. ISSUE 3. P. 811 -841 23 100% 0
6 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 28 74% 30
7 IRMAK, E , (2014) ON SIMPLICIAL MAPS OF THE COMPLEXES OF CURVES OF NONORIENTABLE SURFACES.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 14. ISSUE 2. P. 1153-1180 22 100% 0
8 OHSHIKA, K , (2011) REALISING END INVARIANTS BY LIMITS OF MINIMALLY PARABOLIC, GEOMETRICALLY FINITE GROUPS.GEOMETRY & TOPOLOGY. VOL. 15. ISSUE 2. P. 827-890 28 78% 12
9 CANARY, RD , STORM, PA , (2013) MODULI SPACES OF HYPERBOLIC 3-MANIFOLDS AND DYNAMICS ON CHARACTER VARIETIES.COMMENTARII MATHEMATICI HELVETICI. VOL. 88. ISSUE 1. P. 221-251 26 81% 4
10 HENSEL, S , PRZYTYCKI, P , WEBB, RCH , (2015) 1-SLIM TRIANGLES AND UNIFORM HYPERBOLICITY FOR ARC GRAPHS AND CURVE GRAPHS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 4. P. 755 -762 19 95% 6

Classes with closest relation at Level 1


Rank Class id link
1 17783 TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE
2 2654 FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS
3 13823 COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE
4 14899 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
5 14464 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP
6 1743 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD
7 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS
8 20314 CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS
9 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
10 20979 SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE

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