Class information for:
Level 1: SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP

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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
521 2             MATHEMATICS//BMO//COMMUTATOR 15503
6293 1                   SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP 1530

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SUB RIEMANNIAN GEOMETRY authKW 1671112 8% 71% 115
2 CARNOT GROUPS authKW 1155786 6% 64% 88
3 HEISENBERG GROUP authKW 642388 9% 23% 133
4 HORMANDERS VECTOR FIELDS authKW 308963 1% 100% 15
5 CARNOT CARATHEODORY METRIC authKW 265760 1% 65% 20
6 CARNOT CARATHEODORY SPACE authKW 247158 1% 67% 18
7 SUB LAPLACIAN authKW 230659 2% 40% 28
8 STRATIFIED GROUPS authKW 217556 1% 81% 13
9 SHORTEST ARC authKW 164780 1% 100% 8
10 AREA FORMULA authKW 158216 1% 59% 13

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 61254 85% 0% 1306
2 Mathematics, Applied 14001 38% 0% 585
3 Automation & Control Systems 560 4% 0% 67
4 Computer Science, Artificial Intelligence 76 2% 0% 38
5 Physics, Mathematical 12 2% 0% 23
6 Computer Science, Cybernetics 5 0% 0% 4
7 Computer Science, Software Engineering 5 1% 0% 14
8 Imaging Science & Photographic Technology 1 0% 0% 5
9 Business, Finance -0 0% 0% 3
10 Social Sciences, Mathematical Methods -0 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTMENTO MATEMAT 111613 4% 8% 66
2 PROGRAM SYST 76503 2% 15% 24
3 DIPARTIMENTO MATEMAT 72640 15% 2% 224
4 SOBOLEV MATH 62017 4% 5% 55
5 BMIA 41195 0% 100% 2
6 CNRS 5219 37073 0% 60% 3
7 NUMER SIMULAT TECHNOL JIANGXI PROV 30893 0% 50% 3
8 DIPARTIMENTO METODI MATEMAT 27462 0% 67% 2
9 IST E 27462 0% 67% 2
10 TEAM GECO 27266 0% 19% 7

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 54081 2% 8% 35
2 SIBERIAN MATHEMATICAL JOURNAL 26257 4% 2% 63
3 JOURNAL OF GEOMETRIC ANALYSIS 20883 2% 3% 32
4 POTENTIAL ANALYSIS 20297 2% 3% 32
5 ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 17632 1% 4% 21
6 DOKLADY MATHEMATICS 17501 3% 2% 52
7 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 15513 2% 2% 36
8 REVISTA MATEMATICA IBEROAMERICANA 12419 1% 3% 22
9 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 10201 2% 1% 35
10 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 5301 1% 2% 17

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SUB RIEMANNIAN GEOMETRY 1671112 8% 71% 115 Search SUB+RIEMANNIAN+GEOMETRY Search SUB+RIEMANNIAN+GEOMETRY
2 CARNOT GROUPS 1155786 6% 64% 88 Search CARNOT+GROUPS Search CARNOT+GROUPS
3 HEISENBERG GROUP 642388 9% 23% 133 Search HEISENBERG+GROUP Search HEISENBERG+GROUP
4 HORMANDERS VECTOR FIELDS 308963 1% 100% 15 Search HORMANDERS+VECTOR+FIELDS Search HORMANDERS+VECTOR+FIELDS
5 CARNOT CARATHEODORY METRIC 265760 1% 65% 20 Search CARNOT+CARATHEODORY+METRIC Search CARNOT+CARATHEODORY+METRIC
6 CARNOT CARATHEODORY SPACE 247158 1% 67% 18 Search CARNOT+CARATHEODORY+SPACE Search CARNOT+CARATHEODORY+SPACE
7 SUB LAPLACIAN 230659 2% 40% 28 Search SUB+LAPLACIAN Search SUB+LAPLACIAN
8 STRATIFIED GROUPS 217556 1% 81% 13 Search STRATIFIED+GROUPS Search STRATIFIED+GROUPS
9 SHORTEST ARC 164780 1% 100% 8 Search SHORTEST+ARC Search SHORTEST+ARC
10 AREA FORMULA 158216 1% 59% 13 Search AREA+FORMULA Search AREA+FORMULA

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 32006 PWB SOLUTION//EDPNL HIST MATH//NON REGULAR DOMAINS
2 26511 GOURSAT FLAG//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA
3 6766 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
4 7168 PARTIAL REGULARITY//REIFENBERG DOMAIN//CALDERON ZYGMUND ESTIMATES
5 6489 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
6 22094 INFINITY LAPLACIAN//SUPREMAL FUNCTIONALS//TUG OF WAR GAMES
7 24472 REGULAR SYNTHESIS//HAMILTONIAN METHODS//ANGEW MATH WISSEN RECHNEN
8 18009 COMPLEX VECTOR FIELDS//ANALYTIC HYPOELLIPTICITY//NON COMMUTATIVE HARMONIC OSCILLATOR
9 20546 ISOSPECTRALITY//NILMANIFOLDS//ISOSPECTRAL MANIFOLDS
10 23211 NON DOUBLING MEASURE//RBMOMU//ANALYTIC CAPACITY

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