Class information for:
Level 1: UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES

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
18848 1                   UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES 557

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UNIVERSAL INEQUALITIES authKW 916624 3% 90% 18
2 EIGENVALUE RATIO authKW 543182 2% 80% 12
3 LIEB THIRRING INEQUALITIES authKW 447115 3% 44% 18
4 UNIVERSAL BOUNDS authKW 438984 3% 52% 15
5 EIGENVALUE GAP authKW 380348 2% 61% 11
6 HOT SPOTS CONJECTURE authKW 339492 1% 100% 6
7 BEREZIN LI YAU INEQUALITY authKW 290991 1% 86% 6
8 CLAMPED PLATE PROBLEM authKW 282910 1% 100% 5
9 GAUSSIAN SHRINKING SOLITON authKW 282910 1% 100% 5
10 BUCKLING PROBLEM authKW 241409 1% 53% 8

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 17645 76% 0% 424
2 Mathematics, Applied 3630 32% 0% 181
3 Physics, Mathematical 857 11% 0% 64
4 Statistics & Probability 110 4% 0% 22
5 Multidisciplinary Sciences 7 1% 0% 5
6 Mechanics -0 1% 0% 6
7 Physics, Multidisciplinary -0 2% 0% 10
8 Automation & Control Systems -0 0% 0% 2
9 Mathematics, Interdisciplinary Applications -0 0% 0% 2
10 Mathematical & Computational Biology -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GRP MATH PHYS 91244 2% 16% 10
2 IMB FSB 84870 1% 50% 3
3 MATH SYSTEMAT SCI 71605 2% 13% 10
4 DINAM MODELLING 56582 0% 100% 1
5 FIELD SERV SUPPORT 56582 0% 100% 1
6 GLOBAL MANAGEMENT OFF 56582 0% 100% 1
7 MATH GEOM 56582 0% 100% 1
8 NAT WISSEN AFTLICHE FAK 1 56582 0% 100% 1
9 NATURWISSEN AFTLICHE FAK 1 56582 0% 100% 1
10 UCHILE 2071 56582 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF SPECTRAL THEORY 33070 2% 6% 10
2 BULLETIN OF MATHEMATICAL SCIENCES 21207 1% 6% 6
3 KODAI MATHEMATICAL JOURNAL 3782 1% 1% 5
4 JOURNAL OF FUNCTIONAL ANALYSIS 3375 4% 0% 20
5 COMMUNICATIONS IN MATHEMATICAL PHYSICS 2977 4% 0% 21
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2956 5% 0% 30
7 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 2823 1% 2% 3
8 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 2224 1% 1% 6
9 INDIANA UNIVERSITY MATHEMATICS JOURNAL 1909 2% 0% 9
10 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 1847 2% 0% 9

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 UNIVERSAL INEQUALITIES 916624 3% 90% 18 Search UNIVERSAL+INEQUALITIES Search UNIVERSAL+INEQUALITIES
2 EIGENVALUE RATIO 543182 2% 80% 12 Search EIGENVALUE+RATIO Search EIGENVALUE+RATIO
3 LIEB THIRRING INEQUALITIES 447115 3% 44% 18 Search LIEB+THIRRING+INEQUALITIES Search LIEB+THIRRING+INEQUALITIES
4 UNIVERSAL BOUNDS 438984 3% 52% 15 Search UNIVERSAL+BOUNDS Search UNIVERSAL+BOUNDS
5 EIGENVALUE GAP 380348 2% 61% 11 Search EIGENVALUE+GAP Search EIGENVALUE+GAP
6 HOT SPOTS CONJECTURE 339492 1% 100% 6 Search HOT+SPOTS+CONJECTURE Search HOT+SPOTS+CONJECTURE
7 BEREZIN LI YAU INEQUALITY 290991 1% 86% 6 Search BEREZIN+LI+YAU+INEQUALITY Search BEREZIN+LI+YAU+INEQUALITY
8 CLAMPED PLATE PROBLEM 282910 1% 100% 5 Search CLAMPED+PLATE+PROBLEM Search CLAMPED+PLATE+PROBLEM
9 GAUSSIAN SHRINKING SOLITON 282910 1% 100% 5 Search GAUSSIAN+SHRINKING+SOLITON Search GAUSSIAN+SHRINKING+SOLITON
10 BUCKLING PROBLEM 241409 1% 53% 8 Search BUCKLING+PROBLEM Search BUCKLING+PROBLEM

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 19790 STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY
2 23545 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//HADAMARD FORMULA
3 33645 CUICBAS//INHOMOGENEOUS STRING//EXTREMAL EIGENVALUE
4 20775 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
5 19301 CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON
6 26777 SERV PHYS GEN PHYS PARTICULES ELEMENTAI//DUAL SERIES EQUATIONS//CENTRAL POTENTIALS
7 35049 CLAMPED PLATE EQUATION//KHAVINSON SHAPIRO CONJECTURE//FISCHER OPERATOR
8 16470 MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION
9 33471 CO ADAPTED COUPLING//SHIFT COUPLING//FINITARY ISOMORPHISM
10 12911 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//LOGARITHMIC SOBOLEV INEQUALITIES

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