Class information for:
Level 1: Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
33278 127 16.5 30%



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
2349 2             P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL 4382
33278 1                   Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS 127

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 Q VALUED FUNCTIONS authKW 961750 3% 100% 4
2 FINITE SUBSET SPACE authKW 480875 2% 100% 2
3 MULTIPLE VALUED FUNCTIONS authKW 274780 3% 29% 4
4 ALMGRENS BIG REGULARITY PAPER authKW 240438 1% 100% 1
5 ALMGRENS MULTIPLE VALUED FUNCTIONS authKW 240438 1% 100% 1
6 AREA SPACE authKW 240438 1% 100% 1
7 BOROLINUS authKW 240438 1% 100% 1
8 BRESSAN WANG THEOREM authKW 240438 1% 100% 1
9 C 1 C ALPHA BOUNDARIES authKW 240438 1% 100% 1
10 CLOSED CURVE PROBLEM authKW 240438 1% 100% 1

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 4695 82% 0% 104
2 Mathematics, Applied 586 28% 0% 35
3 Mechanics 51 8% 0% 10
4 Physics, Mathematical 17 4% 0% 5
5 Engineering, General 7 2% 0% 3
6 Multidisciplinary Sciences 1 1% 0% 1
7 Operations Research & Management Science 0 1% 0% 1
8 Mathematics, Interdisciplinary Applications 0 1% 0% 1
9 Physics, Fluids & Plasmas 0 1% 0% 1
10 Engineering, Mechanical -0 1% 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 EQUIPE GOMTRIE DYNAM 240438 1% 100% 1
2 MATH ANAL MODELLING PLICAT 240438 1% 100% 1
3 ESA CNRS 6086 120218 1% 50% 1
4 GRP GEOMETRIE 120218 1% 50% 1
5 GRP LIE 120218 1% 50% 1
6 MATH SOFT MATTER UNIT 80141 2% 11% 3
7 EQUIPE ANAL HARMON 30053 1% 13% 1
8 DIMAI 26714 1% 11% 1
9 HAUSDORFF MATH 12502 2% 2% 3
10 DPMMS 8191 2% 1% 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 ADVANCES IN CALCULUS OF VARIATIONS 39536 4% 3% 5
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 12215 7% 1% 9
3 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 4344 3% 0% 4
4 ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 4331 2% 1% 3
5 ANNALS OF MATHEMATICS STUDIES 4309 2% 1% 2
6 MANUSCRIPTA MATHEMATICA 3629 6% 0% 7
7 ANNALS OF MATHEMATICS 3433 4% 0% 5
8 JOURNAL OF GEOMETRIC ANALYSIS 2385 2% 0% 3
9 JOURNAL OF DIFFERENTIAL GEOMETRY 2246 3% 0% 4
10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 1662 4% 0% 5

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 Q VALUED FUNCTIONS 961750 3% 100% 4 Search Q+VALUED+FUNCTIONS Search Q+VALUED+FUNCTIONS
2 FINITE SUBSET SPACE 480875 2% 100% 2 Search FINITE+SUBSET+SPACE Search FINITE+SUBSET+SPACE
3 MULTIPLE VALUED FUNCTIONS 274780 3% 29% 4 Search MULTIPLE+VALUED+FUNCTIONS Search MULTIPLE+VALUED+FUNCTIONS
4 ALMGRENS BIG REGULARITY PAPER 240438 1% 100% 1 Search ALMGRENS+BIG+REGULARITY+PAPER Search ALMGRENS+BIG+REGULARITY+PAPER
5 ALMGRENS MULTIPLE VALUED FUNCTIONS 240438 1% 100% 1 Search ALMGRENS+MULTIPLE+VALUED+FUNCTIONS Search ALMGRENS+MULTIPLE+VALUED+FUNCTIONS
6 AREA SPACE 240438 1% 100% 1 Search AREA+SPACE Search AREA+SPACE
7 BOROLINUS 240438 1% 100% 1 Search BOROLINUS Search BOROLINUS
8 BRESSAN WANG THEOREM 240438 1% 100% 1 Search BRESSAN+WANG+THEOREM Search BRESSAN+WANG+THEOREM
9 C 1 C ALPHA BOUNDARIES 240438 1% 100% 1 Search C+1+C+ALPHA+BOUNDARIES Search C+1+C+ALPHA+BOUNDARIES
10 CLOSED CURVE PROBLEM 240438 1% 100% 1 Search CLOSED+CURVE+PROBLEM Search CLOSED+CURVE+PROBLEM

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 HIRSCH, J , (2016) BOUNDARY REGULARITY OF DIRICHLET MINIMIZING Q-VALUED FUNCTIONS.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 16. ISSUE 4. P. 1353 -1407 11 92% 0
2 ROSALES, L , (2016) TWO-DIMENSIONAL SOLUTIONS TO THE C-PLATEAU PROBLEM IN R-3.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. VOL. 50. ISSUE 2. P. 129 -163 9 90% 0
3 LIN, CC , (2014) INTERIOR CONTINUITY OF TWO-DIMENSIONAL WEAKLY STATIONARY-HARMONIC MULTIPLE-VALUED FUNCTIONS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 24. ISSUE 3. P. 1547 -1582 9 82% 1
4 DE LELLIS, C , SPADARO, E , (2014) REGULARITY OF AREA MINIMIZING CURRENTS I: GRADIENT L (P) ESTIMATES.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 24. ISSUE 6. P. 1831 -1884 9 75% 4
5 KOLAR, J , (2015) NON-UNIQUE CONICAL AND NON-CONICAL TANGENTS TO RECTIFIABLE STATIONARY VARIFOLDS IN R-4.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 54. ISSUE 2. P. 1875 -1909 9 69% 0
6 BELLETTINI, C , (2015) TANGENT CONES TO POSITIVE-(1,1) DE RHAM CURRENTS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 709. ISSUE . P. 15 -50 10 59% 0
7 ROSALES, L , (2015) THE C-ISOPERIMETRIC MASS OF CURRENTS AND THE C-PLATEAU PROBLEM.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 25. ISSUE 1. P. 471 -511 7 78% 0
8 BELLETTINI, C , (2014) UNIQUENESS OF TANGENT CONES TO POSITIVE-(P, P) INTEGRAL CYCLES.DUKE MATHEMATICAL JOURNAL. VOL. 163. ISSUE 4. P. 705 -732 9 60% 1
9 AMBROSIO, L , (2016) THE REGULARITY THEORY OF AREA-MINIMIZING INTEGRAL CURRENTS [AFTER ALMGREN-DE LELLIS-SPADARO].ASTERISQUE. VOL. . ISSUE 380. P. 139 -169 11 46% 0
10 HENDERSON, J , OUAHAB, A , (2014) DIFFERENTIAL INCLUSIONS IN THE ALMGREN SENSE ON UNBOUNDED DOMAINS.ANNALES POLONICI MATHEMATICI. VOL. 110. ISSUE 1. P. 91 -99 6 86% 0

Classes with closest relation at Level 1



Rank Class id link
1 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING
2 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
3 4957 P HARMONIC MAPS//HARMONIC MAPS//LANDAU LIFSHITZ EQUATION
4 20979 SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE
5 11476 SLANT SUBMANIFOLD//LAGRANGIAN SUBMANIFOLD//SEMI SLANT SUBMANIFOLD
6 16067 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
7 7899 MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER
8 12331 ELASTICA//ELASTIC RODS//LARGE DEFLECTION
9 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
10 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE

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