Class information for:
Level 1: SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT 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
21539 1                   SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT OPERATORS 439

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SPECTRAL POLLUTION authKW 1036658 4% 76% 19
2 BAND DOMINATED OPERATORS authKW 866622 3% 93% 13
3 LIMIT OPERATORS authKW 426381 3% 42% 14
4 FINITE SECTIONS authKW 293142 2% 58% 7
5 FBI BARGMANN TRANSFORM authKW 287165 1% 100% 4
6 FINITE SECTION METHOD authKW 287153 2% 40% 10
7 PSEUDOSPECTRUM authKW 252801 4% 20% 18
8 ESIME ZACATENCO address 250083 4% 19% 18
9 FINITE SECTIONS METHOD authKW 229731 1% 80% 4
10 NUMERICAL APPROXIMATION OF THE SPECTRUM authKW 215374 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 9392 63% 0% 276
2 Mathematics, Applied 2469 30% 0% 133
3 Physics, Mathematical 1393 16% 0% 71
4 Physics, Multidisciplinary 134 10% 0% 42
5 Physics, Fluids & Plasmas 28 3% 0% 11
6 Physics, Particles & Fields 9 3% 0% 11
7 Physics, Condensed Matter 1 3% 0% 14
8 Education, Scientific Disciplines -0 0% 0% 1
9 Information Science & Library Science -0 0% 0% 1
10 Automation & Control Systems -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ESIME ZACATENCO 250083 4% 19% 18
2 ECOLE PONTS PARISTECH INRIA 143583 0% 100% 2
3 BIO IT BUSINESS DEV UNIT 71791 0% 100% 1
4 GRP PARMA EGATO 71791 0% 100% 1
5 IN SILICO DRUG DISCOVERY 71791 0% 100% 1
6 INNOVAT SIMULAT SOFTWARE 71791 0% 100% 1
7 MATH METHODS MECH 71791 0% 100% 1
8 MEXICO HBEREICH MATH 71791 0% 100% 1
9 SEZIONE TEOR MILANO 71791 0% 100% 1
10 ZACATENCO SEPI 71791 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF SPECTRAL THEORY 33989 2% 5% 9
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 15210 5% 1% 22
3 OPERATORS AND MATRICES 9323 2% 2% 8
4 DOKLADY MATHEMATICS 6524 4% 1% 17
5 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 6374 1% 2% 4
6 JOURNAL OF OPERATOR THEORY 5456 2% 1% 10
7 ANNALES HENRI POINCARE 4323 2% 1% 8
8 MATHEMATICAL NOTES 3572 4% 0% 16
9 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 3140 1% 1% 6
10 JOURNAL OF FUNCTIONAL ANALYSIS 2407 3% 0% 15

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SPECTRAL POLLUTION 1036658 4% 76% 19 Search SPECTRAL+POLLUTION Search SPECTRAL+POLLUTION
2 BAND DOMINATED OPERATORS 866622 3% 93% 13 Search BAND+DOMINATED+OPERATORS Search BAND+DOMINATED+OPERATORS
3 LIMIT OPERATORS 426381 3% 42% 14 Search LIMIT+OPERATORS Search LIMIT+OPERATORS
4 FINITE SECTIONS 293142 2% 58% 7 Search FINITE+SECTIONS Search FINITE+SECTIONS
5 FBI BARGMANN TRANSFORM 287165 1% 100% 4 Search FBI+BARGMANN+TRANSFORM Search FBI+BARGMANN+TRANSFORM
6 FINITE SECTION METHOD 287153 2% 40% 10 Search FINITE+SECTION+METHOD Search FINITE+SECTION+METHOD
7 PSEUDOSPECTRUM 252801 4% 20% 18 Search PSEUDOSPECTRUM Search PSEUDOSPECTRUM
8 FINITE SECTIONS METHOD 229731 1% 80% 4 Search FINITE+SECTIONS+METHOD Search FINITE+SECTIONS+METHOD
9 NUMERICAL APPROXIMATION OF THE SPECTRUM 215374 1% 100% 3 Search NUMERICAL+APPROXIMATION+OF+THE+SPECTRUM Search NUMERICAL+APPROXIMATION+OF+THE+SPECTRUM
10 SECOND ORDER SPECTRUM 215374 1% 100% 3 Search SECOND+ORDER+SPECTRUM Search SECOND+ORDER+SPECTRUM

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 1



rank cluster_id2 link
1 22573 FREDHOLMNESS//PIECEWISE SLOWLY OSCILLATING FUNCTION//KERZMAN STEIN OPERATOR
2 16470 MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION
3 31455 STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA
4 32126 INDICIAL TRIPLE//DIAGONAL INVARIANT IDEAL//GENERALIZED FREDHOLM INDEX
5 12658 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//PSEUDOSPECTRUM
6 2604 PT SYMMETRY//PARITY TIME SYMMETRY//NON HERMITIAN HAMILTONIAN
7 6272 RANDOM MATRICES//LIMITING SPECTRAL DISTRIBUTION//STIELTJES TRANSFORM
8 25960 RADIUS OF REVOLUTION//UNIT ADV OLARSHIP//WITTEN LAPLACIAN
9 4419 LIMITING ABSORPTION PRINCIPLE//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE//RESONANCES
10 18009 COMPLEX VECTOR FIELDS//ANALYTIC HYPOELLIPTICITY//NON COMMUTATIVE HARMONIC OSCILLATOR

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