Class information for:
Level 1: HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//PATTERSON SULLIVAN MEASURE

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
10996 1                   HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//PATTERSON SULLIVAN MEASURE 1045

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HARMONIC MANIFOLDS authKW 255450 1% 71% 12
2 ASYMPTOTICALLY HARMONIC MANIFOLDS authKW 211107 1% 100% 7
3 PATTERSON SULLIVAN MEASURE authKW 147770 1% 70% 7
4 GEODESIC FLOW authKW 128987 2% 16% 26
5 KLEINIAN GROUPS authKW 93020 2% 16% 19
6 PATTERSON MEASURE authKW 80419 0% 67% 4
7 GEOMETRICALLY FINITE GROUPS authKW 68929 0% 57% 4
8 PATTERSON SULLIVAN MEASURES authKW 68929 0% 57% 4
9 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 68340 7% 3% 75
10 APPROXIMATE GROUPS authKW 67854 0% 75% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 48808 92% 0% 962
2 Mathematics, Applied 2454 20% 0% 210
3 Statistics & Probability 112 3% 0% 32
4 Physics, Mathematical 33 2% 0% 24
5 Computer Science, Theory & Methods 7 1% 0% 15
6 Logic 4 0% 0% 2
7 Philosophy -1 0% 0% 1
8 Automation & Control Systems -1 0% 0% 2
9 Computer Science, Software Engineering -2 0% 0% 2
10 Mathematics, Interdisciplinary Applications -3 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH CNRS URA 169 40209 0% 67% 2
2 CMAT CIENCIAS 30158 0% 100% 1
3 CNRS URA 169 MATH 30158 0% 100% 1
4 CNRSEQUIPE TOPOL DYNAM 30158 0% 100% 1
5 FEDERAT POISSON 30158 0% 100% 1
6 HBEREICH INFORMAT KRYPTOG COMP 30158 0% 100% 1
7 MA B3 525 30158 0% 100% 1
8 MATEMAT ESTADST RAFAEL LAGUARD 30158 0% 100% 1
9 MATH 1146 30158 0% 100% 1
10 POOL GRP 1 30158 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 68340 7% 3% 75
2 GEOMETRIC AND FUNCTIONAL ANALYSIS 28692 3% 3% 32
3 GEOMETRIAE DEDICATA 11465 3% 1% 34
4 ACTA MATHEMATICA 11063 1% 3% 14
5 COMMENTARII MATHEMATICI HELVETICI 8461 2% 1% 19
6 JOURNAL OF DIFFERENTIAL GEOMETRY 8409 2% 1% 22
7 INVENTIONES MATHEMATICAE 7415 3% 1% 28
8 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 7113 1% 2% 13
9 GROUPS GEOMETRY AND DYNAMICS 6479 1% 2% 9
10 DUKE MATHEMATICAL JOURNAL 6340 2% 1% 25

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HARMONIC MANIFOLDS 255450 1% 71% 12 Search HARMONIC+MANIFOLDS Search HARMONIC+MANIFOLDS
2 ASYMPTOTICALLY HARMONIC MANIFOLDS 211107 1% 100% 7 Search ASYMPTOTICALLY+HARMONIC+MANIFOLDS Search ASYMPTOTICALLY+HARMONIC+MANIFOLDS
3 PATTERSON SULLIVAN MEASURE 147770 1% 70% 7 Search PATTERSON+SULLIVAN+MEASURE Search PATTERSON+SULLIVAN+MEASURE
4 GEODESIC FLOW 128987 2% 16% 26 Search GEODESIC+FLOW Search GEODESIC+FLOW
5 KLEINIAN GROUPS 93020 2% 16% 19 Search KLEINIAN+GROUPS Search KLEINIAN+GROUPS
6 PATTERSON MEASURE 80419 0% 67% 4 Search PATTERSON+MEASURE Search PATTERSON+MEASURE
7 GEOMETRICALLY FINITE GROUPS 68929 0% 57% 4 Search GEOMETRICALLY+FINITE+GROUPS Search GEOMETRICALLY+FINITE+GROUPS
8 PATTERSON SULLIVAN MEASURES 68929 0% 57% 4 Search PATTERSON+SULLIVAN+MEASURES Search PATTERSON+SULLIVAN+MEASURES
9 APPROXIMATE GROUPS 67854 0% 75% 3 Search APPROXIMATE+GROUPS Search APPROXIMATE+GROUPS
10 HYPERBOLIC RANK 67854 0% 75% 3 Search HYPERBOLIC+RANK Search HYPERBOLIC+RANK

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 11527 DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION
2 27370 BOUNDARY REALIZATION//HOMOGENEOUS TREE//RANGE CHARACTERIZATIONS
3 24299 CHAINS WITH COMPLETE CONNECTIONS//CHAINS OF INFINITE ORDER//SCI PL RENNES
4 13873 GROMOV HYPERBOLICITY//STOCHASTIC COMPLETENESS//INFINITE GRAPHS
5 20775 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
6 1037 GROUPS GEOMETRY AND DYNAMICS//HYPERBOLIC GROUPS//RELATIVELY HYPERBOLIC GROUPS
7 16511 COMPLEX HYPERBOLIC GEOMETRY//THURSTON GEOMETRIES//JORGENSENS INEQUALITY
8 25221 MCSHANES IDENTITY//JORGENSEN THEORY//MCSHANE IDENTITY
9 32227 SIMPLICIAL VOLUME//RELATIVE BOUNDED COHOMOLOGY//2N MANIFOLDS
10 19454 AUTOMATON GROUP//SELF SIMILAR GROUPS//AUTOMATA GROUPS

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