Class information for:
Level 2: SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2042 5373 20.2 35%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
2042 2             SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS 5373
5583 1                   SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP 1601
6534 1                   DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC 1473
11755 1                   LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS 956
18693 1                   CARLEMAN MATRIX//NEVANLINNA DOMAIN//POLYNOMIAL APPROXIMATION IN 2 SPACE 540
24807 1                   FINELY SUPERHARMONIC FUNCTION//PWB SOLUTION//HOMOGENEOUS RANDOM MEASURE 301
25048 1                   GROWTH PROPERTY//STATIONARY SCHRODINGER OPERATOR//STATIONARY SCHRODINGER EQUATION 292
28282 1                   LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT 210

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 SUB RIEMANNIAN GEOMETRY authKW 452193 2% 72% 110
2 CARNOT GROUPS authKW 318133 2% 66% 85
3 LIPSCHITZ DOMAINS authKW 281244 2% 51% 97
4 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA journal 257704 4% 20% 222
5 MATHEMATICS WoSSC 242849 90% 1% 4855
6 DOUBLING MEASURE authKW 229090 1% 61% 66
7 HEISENBERG GROUP authKW 175204 2% 24% 129
8 LAYER POTENTIALS authKW 158140 1% 61% 46
9 SUB LAPLACIAN authKW 130894 1% 59% 39
10 POINCARE INEQUALITY authKW 129801 1% 30% 75

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 242849 90% 1% 4855
2 Mathematics, Applied 26229 28% 0% 1521
3 Automation & Control Systems 88 1% 0% 67
4 Multidisciplinary Sciences 64 1% 0% 46
5 Physics, Mathematical 19 1% 0% 68
6 Computer Science, Cybernetics -1 0% 0% 3
7 Statistics & Probability -1 0% 0% 26
8 Mathematics, Interdisciplinary Applications -1 0% 0% 22
9 History & Philosophy of Science -3 0% 0% 2
10 Transportation -3 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 DIPARTMENTO MATEMAT 43173 1% 10% 78
2 MATH 38971 32% 0% 1727
3 DIPARTIMENTO MATEMAT 27059 5% 2% 258
4 NUMER SIMULAT TECHNOL JIANGXI PROV 23670 0% 83% 5
5 SOBOLEV MATH 19364 1% 6% 57
6 ANGEW ANAL NUMER SIMULAT 16556 0% 17% 17
7 PROGRAM SYST 15638 0% 14% 20
8 MATH COMPLEX SYST 13782 1% 6% 42
9 SCI ST JEROME CASE COUR A 11362 0% 100% 2
10 CNRS 5219 10224 0% 60% 3

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 257704 4% 20% 222
2 POTENTIAL ANALYSIS 92765 2% 13% 128
3 REVISTA MATEMATICA IBEROAMERICANA 36647 1% 9% 70
4 SIBERIAN MATHEMATICAL JOURNAL 33624 2% 4% 134
5 JOURNAL D ANALYSE MATHEMATIQUE 31599 2% 7% 81
6 INDIANA UNIVERSITY MATHEMATICS JOURNAL 30317 2% 5% 113
7 ARKIV FOR MATEMATIK 26979 1% 8% 60
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 24020 5% 2% 268
9 JOURNAL OF GEOMETRIC ANALYSIS 15600 1% 6% 50
10 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 13533 1% 7% 32

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 SUB RIEMANNIAN GEOMETRY 452193 2% 72% 110 Search SUB+RIEMANNIAN+GEOMETRY Search SUB+RIEMANNIAN+GEOMETRY
2 CARNOT GROUPS 318133 2% 66% 85 Search CARNOT+GROUPS Search CARNOT+GROUPS
3 LIPSCHITZ DOMAINS 281244 2% 51% 97 Search LIPSCHITZ+DOMAINS Search LIPSCHITZ+DOMAINS
4 DOUBLING MEASURE 229090 1% 61% 66 Search DOUBLING+MEASURE Search DOUBLING+MEASURE
5 HEISENBERG GROUP 175204 2% 24% 129 Search HEISENBERG+GROUP Search HEISENBERG+GROUP
6 LAYER POTENTIALS 158140 1% 61% 46 Search LAYER+POTENTIALS Search LAYER+POTENTIALS
7 SUB LAPLACIAN 130894 1% 59% 39 Search SUB+LAPLACIAN Search SUB+LAPLACIAN
8 POINCARE INEQUALITY 129801 1% 30% 75 Search POINCARE+INEQUALITY Search POINCARE+INEQUALITY
9 JOHN DOMAINS 116708 1% 62% 33 Search JOHN+DOMAINS Search JOHN+DOMAINS
10 CARNOT CARATHEODORY METRIC 96935 0% 74% 23 Search CARNOT+CARATHEODORY+METRIC Search CARNOT+CARATHEODORY+METRIC

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 CAPOGNA, L , CITTI, G , (2016) REGULARITY FOR SUBELLIPTIC PDE THROUGH UNIFORM ESTIMATES IN MULTI-SCALE GEOMETRIES.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 6. ISSUE 2. P. 173 -230 52 90% 0
2 CASSANO, FS , VITTONE, D , (2014) GRAPHS OF BOUNDED VARIATION, EXISTENCE AND LOCAL BOUNDEDNESS OF NON-PARAMETRIC MINIMAL SURFACES IN HEISENBERG GROUPS.ADVANCES IN CALCULUS OF VARIATIONS. VOL. 7. ISSUE 4. P. 409 -492 42 100% 3
3 BARTON, A , MAYBORODA, S , (2013) THE DIRICHLET PROBLEM FOR HIGHER ORDER EQUATIONS IN COMPOSITION FORM.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 265. ISSUE 1. P. 49-107 41 98% 0
4 (2006) NON-DOUBLING AHLFORS MEASURES, PERIMETER MEASURES, AND THE CHARACTERIZATION OF THE TRACE SPACES OF SOBOLEV FUNCTIONS IN CARNOT-CARATHEODORY SPACES - INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 182. ISSUE 857. P. 1-+ 68 65% 0
5 MAZALOV, MY , PARAMONOV, PV , FEDOROVSKIY, KY , (2012) CONDITIONS FOR C-M-APPROXIMABILITY OF FUNCTIONS BY SOLUTIONS OF ELLIPTIC EQUATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 67. ISSUE 6. P. 1023 -1068 47 80% 2
6 HAJLASZ, P , KOSKELA, P , (2000) SOBOLEV MET POINCARE.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 145. ISSUE 688. P. IX -+ 81 61% 29
7 GALLI, M , (2016) THE REGULARITY OF EUCLIDEAN LIPSCHITZ BOUNDARIES WITH PRESCRIBED MEAN CURVATURE IN THREE-DIMENSIONAL CONTACT SUB-RIEMANNIAN MANIFOLDS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 136. ISSUE . P. 40 -50 33 100% 0
8 LANCONELLI, E , TRALLI, G , UGUZZONI, F , (2017) WIENER-TYPE TESTS FROM A TWO-SIDED GAUSSIAN BOUND.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 196. ISSUE 1. P. 217 -244 23 85% 1
9 VITTONE, D , (2012) LIPSCHITZ SURFACES, PERIMETER AND TRACE THEOREMS FOR BV FUNCTIONS IN CARNOT-CARATHEODORY SPACES.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 11. ISSUE 4. P. 939-998 35 100% 4
10 HEINONEN, J , (2007) NONSMOOTH CALCULUS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 44. ISSUE 2. P. 163-232 56 64% 47

Classes with closest relation at Level 2


Rank Class id link
1 842 MATHEMATICS//MAXIMAL OPERATOR//BMO
2 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
3 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
4 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
5 2311 UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS
6 1824 MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY
7 2349 P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL
8 4006 POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS
9 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
10 3176 CLIFFORD ANALYSIS//CLIFFORD GRP//ADVANCES IN APPLIED CLIFFORD ALGEBRAS

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