Class information for:
Level 2: ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS

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
468 3       PHYSICS, MATHEMATICAL//MATHEMATICS//JOURNAL OF MATHEMATICAL PHYSICS 25817
1257 2             ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS 9169
4419 1                   LIMITING ABSORPTION PRINCIPLE//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE//RESONANCES 1821
7341 1                   RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//WEGNER ESTIMATE 1403
10765 1                   GROSS PITAEVSKII HIERARCHY//MEAN FIELD LIMIT//MANY BODY QUANTUM DYNAMICS 1065
15567 1                   STAT MECH MATH PHYS//HIGH FREQUENCY WAVES//STAT MECH MATH PHYS THEORET CHEM 732
15971 1                   QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES 707
16470 1                   MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION 679
18422 1                   PAULI FIERZ MODEL//NON RELATIVISTIC QED//NELSON MODEL 577
20357 1                   UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//NODAL SETS 486
21539 1                   SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT OPERATORS 439
22693 1                   VIRTUAL LEVEL//CHANNEL OPERATOR//TOTAL QUASIMOMENTUM 394
25960 1                   RADIUS OF REVOLUTION//UNIT ADV OLARSHIP//WITTEN LAPLACIAN 288
27411 1                   BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE 249
31455 1                   STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA 166
31668 1                   FOURIER INVERSION FORMULA//HONG KRAHN SZEGO INEQUALITY//M HYPOELLIPTICITY 163

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALES HENRI POINCARE journal 270520 3% 27% 289
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS journal 218308 8% 9% 727
3 RANDOM SCHRODINGER OPERATORS authKW 182468 1% 80% 66
4 SCHRODINGER OPERATOR authKW 126428 2% 26% 142
5 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE journal 120932 2% 24% 144
6 MATHEMATICS WoSSC 116065 49% 1% 4471
7 INTEGRATED DENSITY OF STATES authKW 113409 0% 77% 43
8 PHYSICS, MATHEMATICAL WoSSC 105767 30% 1% 2765
9 SCHRODINGER OPERATORS authKW 105757 1% 32% 96
10 JOURNAL OF SPECTRAL THEORY journal 101190 1% 42% 71

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 116065 49% 1% 4471
2 Physics, Mathematical 105767 30% 1% 2765
3 Mathematics, Applied 25297 22% 0% 1986
4 Physics, Multidisciplinary 5251 12% 0% 1136
5 Physics, Particles & Fields 950 4% 0% 392
6 Multidisciplinary Sciences 94 1% 0% 76
7 Geochemistry & Geophysics 93 2% 0% 147
8 Physics, Atomic, Molecular & Chemical 29 2% 0% 194
9 Mathematics, Interdisciplinary Applications 25 1% 0% 80
10 Statistics & Probability 1 1% 0% 59

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 62615 31% 1% 2884
2 STAT MECH MATH PHYS 59052 0% 90% 19
3 UMR 8088 54986 1% 32% 50
4 UMR 6629 32848 1% 18% 53
5 STAT MECH MATH PHYS THEORET CHEM 24428 0% 89% 8
6 DCAIN 24048 0% 100% 7
7 ZENTRUM MATH 22391 1% 9% 71
8 IUFUMR 8088 17177 0% 100% 5
9 SAMARKAND 16360 0% 53% 9
10 FAK MATH 15001 1% 3% 136

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALES HENRI POINCARE 270520 3% 27% 289
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 218308 8% 9% 727
3 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 120932 2% 24% 144
4 JOURNAL OF SPECTRAL THEORY 101190 1% 42% 71
5 REVIEWS IN MATHEMATICAL PHYSICS 94287 2% 18% 155
6 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 78770 3% 10% 238
7 JOURNAL OF FUNCTIONAL ANALYSIS 67988 4% 5% 364
8 JOURNAL OF MATHEMATICAL PHYSICS 36519 5% 3% 418
9 ASYMPTOTIC ANALYSIS 36079 1% 9% 113
10 LETTERS IN MATHEMATICAL PHYSICS 33321 2% 6% 178

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RANDOM SCHRODINGER OPERATORS 182468 1% 80% 66 Search RANDOM+SCHRODINGER+OPERATORS Search RANDOM+SCHRODINGER+OPERATORS
2 SCHRODINGER OPERATOR 126428 2% 26% 142 Search SCHRODINGER+OPERATOR Search SCHRODINGER+OPERATOR
3 INTEGRATED DENSITY OF STATES 113409 0% 77% 43 Search INTEGRATED+DENSITY+OF+STATES Search INTEGRATED+DENSITY+OF+STATES
4 SCHRODINGER OPERATORS 105757 1% 32% 96 Search SCHRODINGER+OPERATORS Search SCHRODINGER+OPERATORS
5 LIMITING ABSORPTION PRINCIPLE 73267 0% 67% 32 Search LIMITING+ABSORPTION+PRINCIPLE Search LIMITING+ABSORPTION+PRINCIPLE
6 WEGNER ESTIMATE 71562 0% 83% 25 Search WEGNER+ESTIMATE Search WEGNER+ESTIMATE
7 SEMICLASSICAL ANALYSIS 63189 0% 41% 45 Search SEMICLASSICAL+ANALYSIS Search SEMICLASSICAL+ANALYSIS
8 ESSENTIAL SPECTRUM 61948 1% 25% 73 Search ESSENTIAL+SPECTRUM Search ESSENTIAL+SPECTRUM
9 UNIQUE CONTINUATION 59107 1% 34% 51 Search UNIQUE+CONTINUATION Search UNIQUE+CONTINUATION
10 SPECTRAL POLLUTION 54958 0% 80% 20 Search SPECTRAL+POLLUTION Search SPECTRAL+POLLUTION

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 1864 STURM LIOUVILLE PROBLEM//STURM LIOUVILLE OPERATOR//INVERSE SPECTRAL PROBLEM
2 3166 ANALYTIC TORSION//NONCOMMUTATIVE RESIDUE//ETA INVARIANT
3 2496 INVERSE PROBLEMS//INVERSE SCATTERING//TRANSMISSION EIGENVALUES
4 1222 GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR
5 3066 JOURNAL OF STATISTICAL PHYSICS//NON GIBBSIAN MEASURES//ENTROPIC REPULSION
6 1402 HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS
7 2998 INFINITE DIMENSIONAL LIE GROUP//ALGEBRAIC QUANTUM FIELD THEORY//COMMUNICATIONS IN MATHEMATICAL PHYSICS
8 953 QUANTUM CHAOS//CLOSED ORBIT THEORY//PHYSICS, MATHEMATICAL
9 2747 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
10 1285 JOURNAL OF APPROXIMATION THEORY//ORTHOGONAL POLYNOMIALS//MODULUS OF CONTINUITY

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