Class information for:
Level 1: NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21095 433 20.2 34%


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
291 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 18882
21095 1                   NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE 433

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 NPC SPACE authKW 293830 1% 83% 5
2 CARTAN HADAMARD MANIFOLD authKW 230786 1% 55% 6
3 ADMISSIBLE CONVERGENCE authKW 158667 1% 75% 3
4 ALEXANDROV CURVATURE authKW 158667 1% 75% 3
5 ASYMPTOTIC DIRICHLET PROBLEM authKW 158667 1% 75% 3
6 DIRICHLET PROBLEM AT INFINITY authKW 158667 1% 75% 3
7 L HARMONIC FUNCTION authKW 158667 1% 75% 3
8 BROWNIAN MOTION ON KAHLER MANIFOLDS authKW 141039 0% 100% 2
9 ENERGY MINIMIZING MAPS authKW 141039 0% 100% 2
10 LERAY HOPF authKW 141039 0% 100% 2

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 16795 84% 0% 363
2 Mathematics, Applied 1018 20% 0% 87
3 Statistics & Probability 830 11% 0% 48
4 Multidisciplinary Sciences 1 0% 0% 2
5 Automation & Control Systems 0 0% 0% 2
6 Physics, Mathematical -0 1% 0% 3
7 Mechanics -3 0% 0% 1
8 Physics, Multidisciplinary -6 0% 0% 1
9 Engineering, Electrical & Electronic -11 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 LPQM3 70520 0% 100% 1
2 MATEMAT ESTADISTICA COMP 70520 0% 100% 1
3 PL MATH CERMA CNRS URA 1502 70520 0% 100% 1
4 UMR UJF CNRS 5582 70520 0% 100% 1
5 URA CNRS 1378 SITE COLBERT 70520 0% 100% 1
6 ABT WAHR EINLICHKEITSTHEORIE 35259 0% 50% 1
7 GRP PROJECT PD 3 0152 23505 0% 33% 1
8 UFR MATHUMR 5582 14102 0% 20% 1
9 UMR6086 14102 0% 20% 1
10 O FIS TEOR 2 11752 0% 17% 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 POTENTIAL ANALYSIS 13780 3% 1% 14
2 JOURNAL OF DIFFERENTIAL GEOMETRY 10544 4% 1% 16
3 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 7287 2% 1% 8
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 5338 3% 1% 11
5 PROBABILITY THEORY AND RELATED FIELDS 5107 3% 1% 13
6 LECTURE NOTES IN MATHEMATICS 4749 5% 0% 22
7 ANNALS OF PROBABILITY 4289 3% 0% 14
8 MATHEMATISCHE ZEITSCHRIFT 3561 4% 0% 16
9 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2476 4% 0% 18
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2396 6% 0% 24

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 NPC SPACE 293830 1% 83% 5 Search NPC+SPACE Search NPC+SPACE
2 CARTAN HADAMARD MANIFOLD 230786 1% 55% 6 Search CARTAN+HADAMARD+MANIFOLD Search CARTAN+HADAMARD+MANIFOLD
3 ADMISSIBLE CONVERGENCE 158667 1% 75% 3 Search ADMISSIBLE+CONVERGENCE Search ADMISSIBLE+CONVERGENCE
4 ALEXANDROV CURVATURE 158667 1% 75% 3 Search ALEXANDROV+CURVATURE Search ALEXANDROV+CURVATURE
5 ASYMPTOTIC DIRICHLET PROBLEM 158667 1% 75% 3 Search ASYMPTOTIC+DIRICHLET+PROBLEM Search ASYMPTOTIC+DIRICHLET+PROBLEM
6 DIRICHLET PROBLEM AT INFINITY 158667 1% 75% 3 Search DIRICHLET+PROBLEM+AT+INFINITY Search DIRICHLET+PROBLEM+AT+INFINITY
7 L HARMONIC FUNCTION 158667 1% 75% 3 Search L+HARMONIC+FUNCTION Search L+HARMONIC+FUNCTION
8 BROWNIAN MOTION ON KAHLER MANIFOLDS 141039 0% 100% 2 Search BROWNIAN+MOTION+ON+KAHLER+MANIFOLDS Search BROWNIAN+MOTION+ON+KAHLER+MANIFOLDS
9 ENERGY MINIMIZING MAPS 141039 0% 100% 2 Search ENERGY+MINIMIZING+MAPS Search ENERGY+MINIMIZING+MAPS
10 LERAY HOPF 141039 0% 100% 2 Search LERAY+HOPF Search LERAY+HOPF

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 HOLOPAINEN, I , (2016) NONSOLVABILITY OF THE ASYMPTOTIC DIRICHLET PROBLEM FOR THE P-LAPLACIAN ON CARTAN-HADAMARD MANIFOLDS.ADVANCES IN CALCULUS OF VARIATIONS. VOL. 9. ISSUE 2. P. 163 -185 15 94% 0
2 LIU, G , (2016) THREE-CIRCLE THEOREM AND DIMENSION ESTIMATE FOR HOLOMORPHIC FUNCTIONS ON KAHLER MANIFOLDS.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 15. P. 2899 -2919 18 69% 0
3 HUA, BB , JOST, J , (2015) POLYNOMIAL GROWTH HARMONIC FUNCTIONS ON GROUPS OF POLYNOMIAL VOLUME GROWTH.MATHEMATISCHE ZEITSCHRIFT. VOL. 280. ISSUE 1-2. P. 551 -567 17 68% 1
4 HUA, BB , JOST, J , LI-JOST, X , (2013) POLYNOMIAL GROWTH HARMONIC FUNCTIONS ON FINITELY GENERATED ABELIAN GROUPS.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 44. ISSUE 4. P. 417-432 19 63% 1
5 HOLOPAINEN, I , (2000) HARMONIC FUNCTIONS AND VOLUME GROWTH OF FINGERLESS ENDS.MATHEMATISCHE ZEITSCHRIFT. VOL. 235. ISSUE 2. P. 259-273 16 94% 0
6 (2000) AGGREGATION OF ESTIMATES, I.LECTURES OB PROBABILITY THEORY AND STATISTICS. VOL. 1738. ISSUE . P. 73 -84 19 76% 0
7 XU, GY , (2016) THREE CIRCLES THEOREMS FOR HARMONIC FUNCTIONS.MATHEMATISCHE ANNALEN. VOL. 366. ISSUE 3-4. P. 1281 -1317 17 55% 0
8 ARNAUDON, M , THALMAIER, A , ULSAMER, S , (2009) EXISTENCE OF NON-TRIVIAL HARMONIC FUNCTIONS ON CARTAN-HADAMARD MANIFOLDS OF UNBOUNDED CURVATURE.MATHEMATISCHE ZEITSCHRIFT. VOL. 263. ISSUE 2. P. 369 -409 12 86% 6
9 SUNG, CJ , TAM, LF , WANG, JP , (2000) SPACES OF HARMONIC FUNCTIONS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 61. ISSUE . P. 789-806 17 77% 10
10 CAO, HD , HE, CX , (2016) MARTIN COMPACTIFICATION OF A COMPLETE SURFACE WITH NEGATIVE CURVATURE.MATHEMATISCHE ANNALEN. VOL. 366. ISSUE 3-4. P. 1467 -1512 12 71% 0

Classes with closest relation at Level 1


Rank Class id link
1 34062 CURVATURE BOUNDED ABOVE//CATK SPACES//LAMBDA CONVEX SET
2 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
3 7270 RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE
4 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
5 4957 P HARMONIC MAPS//HARMONIC MAPS//LANDAU LIFSHITZ EQUATION
6 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
7 1791 CONSTANT MEAN CURVATURE//SPACELIKE HYPERSURFACE//GEOMETRIA TOPOL
8 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
9 11762 DIRECTIONAL DATA//CIRCULAR DATA//VON MISES DISTRIBUTION
10 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE

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