Class information for:
Level 1: TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
17783 583 15.8 27%



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
664 3       MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS 10322
2311 2             UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS 4496
17783 1                   TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE 583

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 827097 10% 27% 58
2 ASYMPTOTIC TEICHMULLER SPACE authKW 576126 2% 100% 11
3 HAMILTON SEQUENCE authKW 538711 2% 86% 12
4 QUASISYMMETRIC HOMEOMORPHISM authKW 528113 2% 92% 11
5 STREBEL POINT authKW 528113 2% 92% 11
6 BOUNDARY DILATATION authKW 366625 1% 100% 7
7 QUASICONFORMAL MAPPING authKW 337569 7% 17% 38
8 UNIVERSAL TEICHMULLER SPACE authKW 301668 2% 48% 12
9 TEICHMULLER MAPPING authKW 285150 1% 78% 7
10 EXTREMAL QUASICONFORMAL MAPPING authKW 269356 1% 86% 6

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 29306 95% 0% 555
2 Mathematics, Applied 2008 24% 0% 140
3 Physics, Mathematical 13 2% 0% 12
4 Multidisciplinary Sciences 0 0% 0% 2
5 Statistics & Probability -1 0% 0% 2
6 Mechanics -2 1% 0% 3
7 Materials Science, Multidisciplinary -22 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 ESEIG 68907 1% 26% 5
2 E EIN CHAIR 52375 0% 100% 1
3 LIMB MIN EDUC 52375 0% 100% 1
4 MATH ESTADIST PROF ING RAFAEL LAGUARDIA 52375 0% 100% 1
5 MATH SCI SYST SCI 52375 0% 100% 1
6 MATHEMATICS9 52375 0% 100% 1
7 PHD PROGRAM MATH 29088 1% 11% 5
8 MATH NONLINEAR SYST 26185 0% 25% 2
9 LIAAD INESC TEC 19635 1% 13% 3
10 CMA UBI 17457 0% 33% 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 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 135495 9% 5% 53
2 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 53802 6% 3% 35
3 JOURNAL D ANALYSE MATHEMATIQUE 40093 5% 3% 30
4 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 26545 1% 8% 6
5 SIBERIAN MATHEMATICAL JOURNAL 11707 4% 1% 26
6 SCIENCE IN CHINA SERIES A-MATHEMATICS 6953 3% 1% 18
7 TOHOKU MATHEMATICAL JOURNAL 6113 2% 1% 12
8 KODAI MATHEMATICAL JOURNAL 5360 1% 2% 6
9 COMMENTARII MATHEMATICI HELVETICI 4972 2% 1% 11
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 4961 7% 0% 40

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 827097 10% 27% 58 Search TEICHMULLER+SPACE Search TEICHMULLER+SPACE
2 ASYMPTOTIC TEICHMULLER SPACE 576126 2% 100% 11 Search ASYMPTOTIC+TEICHMULLER+SPACE Search ASYMPTOTIC+TEICHMULLER+SPACE
3 HAMILTON SEQUENCE 538711 2% 86% 12 Search HAMILTON+SEQUENCE Search HAMILTON+SEQUENCE
4 QUASISYMMETRIC HOMEOMORPHISM 528113 2% 92% 11 Search QUASISYMMETRIC+HOMEOMORPHISM Search QUASISYMMETRIC+HOMEOMORPHISM
5 STREBEL POINT 528113 2% 92% 11 Search STREBEL+POINT Search STREBEL+POINT
6 BOUNDARY DILATATION 366625 1% 100% 7 Search BOUNDARY+DILATATION Search BOUNDARY+DILATATION
7 QUASICONFORMAL MAPPING 337569 7% 17% 38 Search QUASICONFORMAL+MAPPING Search QUASICONFORMAL+MAPPING
8 UNIVERSAL TEICHMULLER SPACE 301668 2% 48% 12 Search UNIVERSAL+TEICHMULLER+SPACE Search UNIVERSAL+TEICHMULLER+SPACE
9 TEICHMULLER MAPPING 285150 1% 78% 7 Search TEICHMULLER+MAPPING Search TEICHMULLER+MAPPING
10 EXTREMAL QUASICONFORMAL MAPPING 269356 1% 86% 6 Search EXTREMAL+QUASICONFORMAL+MAPPING Search EXTREMAL+QUASICONFORMAL+MAPPING

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 FANG, AN , CHEN, XD , (2007) TRUNCATIONS OF EXTREMAL QUASICONFORMAL MAPPINGS AND THEIR APPLICATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 331. ISSUE 2. P. 1299-1313 19 100% 0
2 ZHOU, ZM , CHEN, JX , (2016) ON GEODESICS IN ASYMPTOTIC UNIVERSAL TEICHMULLER SPACE.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 59. ISSUE 4. P. 1065 -1074 14 100% 0
3 FUJIKAWA, E , (2014) COHERENCE OF LIMIT POINTS IN THE FIBERS OVER THE ASYMPTOTIC TEICHMULLER SPACE.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 14. ISSUE 2-3. P. 357 -370 14 100% 0
4 FAN, JH , HU, J , (2016) HOLOMORPHIC CONTRACTIBILITY AND OTHER PROPERTIES OF THE WEIL-PETERSSON AND VMOA TEICHMULLER SPACES.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 41. ISSUE 2. P. 587 -600 13 93% 0
5 CHENG, T , YANG, SS , (2016) DILATATIONS AND EXPONENTS OF QUASISYMMETRIC HOMEOMORPHISMS.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 41. ISSUE 1. P. 287 -304 12 92% 0
6 FAN, JH , (2011) ON GEODESICS IN ASYMPTOTIC TEICHMULLER SPACES.MATHEMATISCHE ZEITSCHRIFT. VOL. 267. ISSUE 3-4. P. 767-779 13 93% 6
7 SHEN, YL , (2007) ON GRUNSKY OPERATOR.SCIENCE IN CHINA SERIES A-MATHEMATICS. VOL. 50. ISSUE 12. P. 1805-1817 15 88% 8
8 HU, Y , SHEN, YL , (2012) ON QUASISYMMETRIC HOMEOMORPHISMS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 191. ISSUE 1. P. 209-226 12 86% 6
9 CHEN, ZG , ZHENG, XL , YAO, GW , (2010) QUADRILATERALS, EXTREMAL QUASICONFORMAL EXTENSIONS AND HAMILTON SEQUENCES.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 25. ISSUE 2. P. 217-226 11 100% 1
10 YAO, GW , (2016) ASYMPTOTICALLY CONFORMAL CLASSES AND NON-STREBEL POINTS.STUDIA MATHEMATICA. VOL. 233. ISSUE 1. P. 13 -24 11 85% 0

Classes with closest relation at Level 1



Rank Class id link
1 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
2 16741 SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS
3 17327 HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS
4 29291 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY
5 8657 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS
6 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
7 24414 NON CANONICAL QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1//DRIENFELD SOKOLOV EQUATION
8 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
9 10255 MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION
10 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS

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