Class information for:
Level 2: P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2349 4382 20.3 44%


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
4957 1                   P HARMONIC MAPS//HARMONIC MAPS//LANDAU LIFSHITZ EQUATION 1697
13356 1                   GINZBURG LANDAU FUNCTIONAL//GINZBURG LANDAU EQUATION//GINZBURG LANDAU SYSTEM 843
19236 1                   SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM 515
20979 1                   SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE 438
23915 1                   MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING 330
29826 1                   IMPROVED SOR METHOD WITH ORDERINGS//PLATEAUS PROBLEM FOR POLYGONAL BOUNDARY CURVES//DOUGLAS PROBLEM 179
31558 1                   DISLOCATION DRIVEN GROWTH//FLUID DROPS//ESHELBY TWIST 151
33278 1                   Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS 127
35103 1                   DUCT LEAKAGE//GAMMA2 CRITERION//CONICAL DIFFUSERS 102

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 P HARMONIC MAPS authKW 231848 1% 79% 42
2 HARMONIC MAPS authKW 226965 3% 27% 123
3 GINZBURG LANDAU FUNCTIONAL authKW 170474 1% 64% 38
4 LANDAU LIFSHITZ EQUATION authKW 159892 1% 43% 54
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS journal 139891 4% 11% 179
6 SIERPINSKI GASKET authKW 127062 1% 36% 50
7 ANALYSIS ON FRACTALS authKW 122882 0% 84% 21
8 MINKOWSKI CONTENT authKW 113762 1% 58% 28
9 GINZBURG LANDAU EQUATION authKW 108259 2% 21% 74
10 MATHEMATICS WoSSC 108015 67% 1% 2944

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 108015 67% 1% 2944
2 Mathematics, Applied 44733 40% 0% 1765
3 Physics, Mathematical 2720 8% 0% 332
4 Mathematics, Interdisciplinary Applications 243 2% 0% 95
5 Mechanics 240 4% 0% 159
6 Construction & Building Technology 93 1% 0% 46
7 Statistics & Probability 76 2% 0% 69
8 COMPUTER APPLICATIONS & CYBERNETICS 18 0% 0% 3
9 Physics, Multidisciplinary 16 3% 0% 122
10 Engineering, General 12 1% 0% 42

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 MATH 46125 38% 0% 1685
2 URA 1611 24523 0% 39% 9
3 LAMA CNRS UMR 8050 21766 0% 63% 5
4 MAMCS GRP 20899 0% 100% 3
5 JACQUES LOUIS LIONS 14023 1% 4% 56
6 IRMARUEB 13933 0% 100% 2
7 UMR 8050UFR SCI TECHNOL 13933 0% 100% 2
8 WU WENJUN 13933 0% 100% 2
9 COURANT 11443 1% 4% 39
10 FER 10656 0% 22% 7

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 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 139891 4% 11% 179
2 ADVANCES IN CALCULUS OF VARIATIONS 30939 1% 17% 26
3 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 26857 2% 6% 69
4 MANUSCRIPTA MATHEMATICA 23547 2% 3% 105
5 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 16989 1% 6% 42
6 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 15599 1% 4% 60
7 INDIANA UNIVERSITY MATHEMATICS JOURNAL 11885 1% 3% 64
8 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 11092 1% 3% 64
9 MATHEMATISCHE ZEITSCHRIFT 9618 2% 2% 84
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 9077 2% 1% 106

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 P HARMONIC MAPS 231848 1% 79% 42 Search P+HARMONIC+MAPS Search P+HARMONIC+MAPS
2 HARMONIC MAPS 226965 3% 27% 123 Search HARMONIC+MAPS Search HARMONIC+MAPS
3 GINZBURG LANDAU FUNCTIONAL 170474 1% 64% 38 Search GINZBURG+LANDAU+FUNCTIONAL Search GINZBURG+LANDAU+FUNCTIONAL
4 LANDAU LIFSHITZ EQUATION 159892 1% 43% 54 Search LANDAU+LIFSHITZ+EQUATION Search LANDAU+LIFSHITZ+EQUATION
5 SIERPINSKI GASKET 127062 1% 36% 50 Search SIERPINSKI+GASKET Search SIERPINSKI+GASKET
6 ANALYSIS ON FRACTALS 122882 0% 84% 21 Search ANALYSIS+ON+FRACTALS Search ANALYSIS+ON+FRACTALS
7 MINKOWSKI CONTENT 113762 1% 58% 28 Search MINKOWSKI+CONTENT Search MINKOWSKI+CONTENT
8 GINZBURG LANDAU EQUATION 108259 2% 21% 74 Search GINZBURG+LANDAU+EQUATION Search GINZBURG+LANDAU+EQUATION
9 GINZBURG LANDAU 87993 1% 31% 41 Search GINZBURG+LANDAU Search GINZBURG+LANDAU
10 GINZBURG LANDAU SYSTEM 85336 0% 88% 14 Search GINZBURG+LANDAU+SYSTEM Search GINZBURG+LANDAU+SYSTEM

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 KELLEHER, D , GUPTA, N , MARGENOT, M , MARSH, J , OAKLEY, W , TEPLYAEV, A , (2015) GAPS IN THE SPECTRUM OF THE LAPLACIAN ON 3N-GASKETS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 6. P. 2509 -2533 46 84% 1
2 HINEMAN, J , HUANG, T , WANG, CY , (2014) REGULARITY AND UNIQUENESS OF A CLASS OF BIHARMONIC MAP HEAT FLOWS.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 50. ISSUE 3-4. P. 491-524 37 97% 1
3 HARDT, RM , (1997) SINGULARITIES OF HARMONIC MAPS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 34. ISSUE 1. P. 15-34 60 88% 33
4 CHEN, JP , MOLCHANOV, S , TEPLYAEV, A , (2015) SPECTRAL DIMENSION AND BOHR'S FORMULA FOR SCHRODINGER OPERATORS ON UNBOUNDED FRACTAL SPACES.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 48. ISSUE 39. P. - 37 90% 0
5 LAMM, T , SHARP, B , (2016) GLOBAL ESTIMATES AND ENERGY IDENTITIES FOR ELLIPTIC SYSTEMS WITH ANTISYMMETRIC POTENTIALS.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 41. ISSUE 4. P. 579 -608 32 86% 1
6 MOSER, R , (2015) AN L-P REGULARITY THEORY FOR HARMONIC MAPS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 1. P. 1 -30 31 94% 2
7 LAPIDUS, ML , (2015) TOWARDS QUANTIZED NUMBER THEORY: SPECTRAL OPERATORS AND AN ASYMMETRIC CRITERION FOR THE RIEMANN HYPOTHESIS.PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 373. ISSUE 2047. P. - 31 86% 1
8 HARE, KE , STEINHURST, BA , TEPLYAEV, A , ZHOU, DL , (2012) DISCONNECTED JULIA SETS AND GAPS IN THE SPECTRUM OF LAPLACIANS ON SYMMETRIC FINITELY RAMIFIED FRACTALS.MATHEMATICAL RESEARCH LETTERS. VOL. 19. ISSUE 3. P. 537-553 28 100% 2
9 STEINHURST, BA , TEPLYAEV, A , (2013) EXISTENCE OF A MEROMORPHIC EXTENSION OF SPECTRAL ZETA FUNCTIONS ON FRACTALS.LETTERS IN MATHEMATICAL PHYSICS. VOL. 103. ISSUE 12. P. 1377-1388 28 97% 3
10 HUANG, T , WANG, CY , (2016) ON UNIQUENESS OF HEAT FLOW OF HARMONIC MAPS.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 65. ISSUE 5. P. 1525 -1546 27 93% 0

Classes with closest relation at Level 2


Rank Class id link
1 291 MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
2 3900 FINSLER METRIC//ALPHA BETA METRIC//FLAG CURVATURE
3 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
4 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
5 3300 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
6 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
7 1824 MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY
8 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
9 2483 SOLITONS MONOPOLES AND INSTANTONS//G2 STRUCTURE//WILLIAM I FINE THEORET PHYS
10 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE

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