Class information for:
Level 1: MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION

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
16470 1                   MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION 679

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MAGNETIC SCHRODINGER OPERATOR authKW 234984 3% 25% 20
2 LIEB THIRRING TYPE INEQUALITY authKW 185661 1% 100% 4
3 COMPLEX PERTURBATION authKW 165766 1% 71% 5
4 PAULI OPERATORS authKW 128927 1% 56% 5
5 DENSE POINT SPECTRUM authKW 123771 1% 67% 4
6 DISCRETE SPECTRUM authKW 122533 3% 13% 21
7 INFINITE CURVATURE authKW 104433 0% 75% 3
8 OPERATOR POTENTIAL authKW 104433 0% 75% 3
9 GAUGE INVARIANT MAGNETIC PERTURBATION THEORY authKW 92830 0% 100% 2
10 GRUSHIN DIFFERENTIAL OPERATOR authKW 92830 0% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 15460 65% 0% 440
2 Physics, Mathematical 4069 22% 0% 149
3 Mathematics, Applied 3524 29% 0% 198
4 Multidisciplinary Sciences 464 5% 0% 32
5 Physics, Multidisciplinary 142 8% 0% 56
6 Physics, Particles & Fields 42 4% 0% 24
7 Mathematical & Computational Biology -1 0% 0% 1
8 Mathematics, Interdisciplinary Applications -2 0% 0% 1
9 Computer Science, Theory & Methods -2 0% 0% 2
10 Mechanics -2 1% 0% 4

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CNRSUJFUMR 5582 46415 0% 100% 1
2 EUROP ASSOCIE 46415 0% 100% 1
3 FB3 MATH 46415 0% 100% 1
4 FR CNRS 2254 46415 0% 100% 1
5 IST FIS RIGHI A 46415 0% 100% 1
6 MIRNYI POLYTECH 46415 0% 100% 1
7 SCIUMR 6629 46415 0% 100% 1
8 UMR DU CNRS 5251 46415 0% 100% 1
9 CNRSUMR 6629 46411 0% 33% 3
10 DPT MATH 35357 1% 19% 4

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALES HENRI POINCARE 17492 3% 2% 20
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 15830 4% 1% 29
3 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 15444 2% 2% 14
4 JOURNAL OF SPECTRAL THEORY 13287 1% 4% 7
5 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 10564 3% 1% 20
6 LETTERS IN MATHEMATICAL PHYSICS 8219 4% 1% 24
7 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 6156 2% 1% 13
8 JOURNAL OF FUNCTIONAL ANALYSIS 5832 4% 0% 29
9 MATHEMATICS OF THE USSR-SBORNIK 5345 1% 1% 9
10 REVIEWS IN MATHEMATICAL PHYSICS 5297 1% 1% 10

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MAGNETIC SCHRODINGER OPERATOR 234984 3% 25% 20 Search MAGNETIC+SCHRODINGER+OPERATOR Search MAGNETIC+SCHRODINGER+OPERATOR
2 LIEB THIRRING TYPE INEQUALITY 185661 1% 100% 4 Search LIEB+THIRRING+TYPE+INEQUALITY Search LIEB+THIRRING+TYPE+INEQUALITY
3 COMPLEX PERTURBATION 165766 1% 71% 5 Search COMPLEX+PERTURBATION Search COMPLEX+PERTURBATION
4 PAULI OPERATORS 128927 1% 56% 5 Search PAULI+OPERATORS Search PAULI+OPERATORS
5 DENSE POINT SPECTRUM 123771 1% 67% 4 Search DENSE+POINT+SPECTRUM Search DENSE+POINT+SPECTRUM
6 DISCRETE SPECTRUM 122533 3% 13% 21 Search DISCRETE+SPECTRUM Search DISCRETE+SPECTRUM
7 INFINITE CURVATURE 104433 0% 75% 3 Search INFINITE+CURVATURE Search INFINITE+CURVATURE
8 OPERATOR POTENTIAL 104433 0% 75% 3 Search OPERATOR+POTENTIAL Search OPERATOR+POTENTIAL
9 GAUGE INVARIANT MAGNETIC PERTURBATION THEORY 92830 0% 100% 2 Search GAUGE+INVARIANT+MAGNETIC+PERTURBATION+THEORY Search GAUGE+INVARIANT+MAGNETIC+PERTURBATION+THEORY
10 GRUSHIN DIFFERENTIAL OPERATOR 92830 0% 100% 2 Search GRUSHIN+DIFFERENTIAL+OPERATOR Search GRUSHIN+DIFFERENTIAL+OPERATOR

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 4419 LIMITING ABSORPTION PRINCIPLE//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE//RESONANCES
2 15971 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
3 7341 RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//WEGNER ESTIMATE
4 27411 BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE
5 10765 GROSS PITAEVSKII HIERARCHY//MEAN FIELD LIMIT//MANY BODY QUANTUM DYNAMICS
6 25960 RADIUS OF REVOLUTION//UNIT ADV OLARSHIP//WITTEN LAPLACIAN
7 21539 SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT OPERATORS
8 23545 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//HADAMARD FORMULA
9 31455 STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA
10 18848 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES

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