Class information for:
Level 2: HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS

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
1402 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS 8284
5502 1                   TWO SCALE CONVERGENCE//HOMOGENIZATION//PERFORATED DOMAINS 1645
9493 1                   TRAPPED MODES//EFFECTIVE OPERATOR//OPERATOR ERROR ESTIMATES 1182
13647 1                   OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM 853
18554 1                   SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM 570
18848 1                   UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES 557
19301 1                   CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON 535
19790 1                   STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY 512
20546 1                   ISOSPECTRALITY//NILMANIFOLDS//ISOSPECTRAL MANIFOLDS 479
20775 1                   LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE 470
23270 1                   WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//EXTERIOR REGIONS 374
23545 1                   MINKOWSKI CONTENT//COMPLEX DIMENSIONS//HADAMARD FORMULA 365
25163 1                   SPREADING VANISHING DICHOTOMY//SPREADING AND VANISHING//GLOBAL FAST SOLUTION 312
25733 1                   SOBOLEV TRACE EMBEDDING//TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION 295
33645 1                   CUICBAS//INHOMOGENEOUS STRING//EXTREMAL EIGENVALUE 135

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HOMOGENIZATION authKW 439216 9% 16% 715
2 TWO SCALE CONVERGENCE authKW 335608 2% 71% 125
3 MATHEMATICS WoSSC 162427 60% 1% 4992
4 PERFORATED DOMAINS authKW 152249 1% 69% 58
5 FREE BOUNDARY authKW 124337 2% 22% 151
6 TRAPPED MODES authKW 123642 1% 59% 55
7 DIRICHLET LAPLACIAN authKW 122201 1% 71% 45
8 OVERDETERMINED PROBLEMS authKW 102053 0% 73% 37
9 MATHEMATICS, APPLIED WoSSC 100017 44% 1% 3620
10 LAPLACIAN authKW 98904 1% 21% 124

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 162427 60% 1% 4992
2 Mathematics, Applied 100017 44% 1% 3620
3 Physics, Mathematical 4386 7% 0% 584
4 Mechanics 2488 7% 0% 580
5 Mathematics, Interdisciplinary Applications 649 2% 0% 206
6 Statistics & Probability 171 2% 0% 138
7 Physics, Fluids & Plasmas 150 2% 0% 133
8 Multidisciplinary Sciences 148 1% 0% 83
9 Acoustics 109 1% 0% 85
10 Automation & Control Systems 97 1% 0% 94

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GRP MATH PHYS 55168 0% 48% 30
2 MATH 54388 31% 1% 2557
3 HIN 49945 0% 77% 17
4 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 41147 1% 15% 73
5 DIFFERENTIAL EQUAT 34872 1% 17% 55
6 MECH ENGN PROBLEMS 30856 0% 25% 32
7 MATH MODELLING WAVE PHENOMENA 26145 0% 40% 17
8 CUICBAS 21957 0% 34% 17
9 VO 20626 0% 23% 24
10 FST TANGER 20527 0% 60% 9

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ASYMPTOTIC ANALYSIS 57082 2% 11% 135
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 26655 1% 6% 110
3 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 21781 2% 4% 148
4 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 21569 1% 6% 90
5 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 18674 1% 4% 114
6 JOURNAL OF SPECTRAL THEORY 17387 0% 16% 28
7 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 16541 1% 4% 104
8 JOURNAL OF DIFFERENTIAL EQUATIONS 15589 2% 2% 176
9 POTENTIAL ANALYSIS 14914 1% 6% 64
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 14750 2% 2% 183

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HOMOGENIZATION 439216 9% 16% 715 Search HOMOGENIZATION Search HOMOGENIZATION
2 TWO SCALE CONVERGENCE 335608 2% 71% 125 Search TWO+SCALE+CONVERGENCE Search TWO+SCALE+CONVERGENCE
3 PERFORATED DOMAINS 152249 1% 69% 58 Search PERFORATED+DOMAINS Search PERFORATED+DOMAINS
4 FREE BOUNDARY 124337 2% 22% 151 Search FREE+BOUNDARY Search FREE+BOUNDARY
5 TRAPPED MODES 123642 1% 59% 55 Search TRAPPED+MODES Search TRAPPED+MODES
6 DIRICHLET LAPLACIAN 122201 1% 71% 45 Search DIRICHLET+LAPLACIAN Search DIRICHLET+LAPLACIAN
7 OVERDETERMINED PROBLEMS 102053 0% 73% 37 Search OVERDETERMINED+PROBLEMS Search OVERDETERMINED+PROBLEMS
8 LAPLACIAN 98904 1% 21% 124 Search LAPLACIAN Search LAPLACIAN
9 ANALYSIS ON FRACTALS 95204 0% 96% 26 Search ANALYSIS+ON+FRACTALS Search ANALYSIS+ON+FRACTALS
10 SIERPINSKI GASKET 93692 1% 41% 60 Search SIERPINSKI+GASKET Search SIERPINSKI+GASKET

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 2


rank cluster_id2 link
1 272 VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM
2 2237 CAHN HILLIARD EQUATION//FREE DISCONTINUITY PROBLEMS//YOUNG MEASURES
3 1416 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN CURVATURE FLOW
4 3166 ANALYTIC TORSION//NONCOMMUTATIVE RESIDUE//ETA INVARIANT
5 1864 STURM LIOUVILLE PROBLEM//STURM LIOUVILLE OPERATOR//INVERSE SPECTRAL PROBLEM
6 1257 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS
7 2496 INVERSE PROBLEMS//INVERSE SCATTERING//TRANSMISSION EIGENVALUES
8 521 MATHEMATICS//BMO//COMMUTATOR
9 1974 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
10 2815 CONVEX BODY//STAR BODY//INTERSECTION BODY

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