Class information for:
Level 1: EIGENVALUE RATIO//UNIVERSAL INEQUALITIES//UNIVERSAL INEQUALITY

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
18665 475 18.4 41%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
956 10299 SCHRODINGER OPERATORS//ANNALES HENRI POINCARE//RANDOM SCHRODINGER OPERATORS

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 EIGENVALUE RATIO Author keyword 17 100% 2% 8
2 UNIVERSAL INEQUALITIES Author keyword 14 100% 1% 7
3 UNIVERSAL INEQUALITY Author keyword 14 100% 1% 7
4 UNIVERSAL BOUNDS Author keyword 12 56% 3% 15
5 LIEB THIRRING INEQUALITIES Author keyword 10 58% 2% 11
6 EIGENVALUE GAP Author keyword 9 64% 2% 9
7 CLAMPED PLATE PROBLEM Author keyword 6 100% 1% 4
8 SYMMETRIC DENSITY Author keyword 4 67% 1% 4
9 BEREZIN LI YAU INEQUALITY Author keyword 4 75% 1% 3
10 SEMI CLASSICAL ESTIMATES Author keyword 4 75% 1% 3

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 EIGENVALUE RATIO 17 100% 2% 8 Search EIGENVALUE+RATIO Search EIGENVALUE+RATIO
2 UNIVERSAL INEQUALITIES 14 100% 1% 7 Search UNIVERSAL+INEQUALITIES Search UNIVERSAL+INEQUALITIES
3 UNIVERSAL INEQUALITY 14 100% 1% 7 Search UNIVERSAL+INEQUALITY Search UNIVERSAL+INEQUALITY
4 UNIVERSAL BOUNDS 12 56% 3% 15 Search UNIVERSAL+BOUNDS Search UNIVERSAL+BOUNDS
5 LIEB THIRRING INEQUALITIES 10 58% 2% 11 Search LIEB+THIRRING+INEQUALITIES Search LIEB+THIRRING+INEQUALITIES
6 EIGENVALUE GAP 9 64% 2% 9 Search EIGENVALUE+GAP Search EIGENVALUE+GAP
7 CLAMPED PLATE PROBLEM 6 100% 1% 4 Search CLAMPED+PLATE+PROBLEM Search CLAMPED+PLATE+PROBLEM
8 SYMMETRIC DENSITY 4 67% 1% 4 Search SYMMETRIC+DENSITY Search SYMMETRIC+DENSITY
9 BEREZIN LI YAU INEQUALITY 4 75% 1% 3 Search BEREZIN+LI+YAU+INEQUALITY Search BEREZIN+LI+YAU+INEQUALITY
10 SEMI CLASSICAL ESTIMATES 4 75% 1% 3 Search SEMI+CLASSICAL+ESTIMATES Search SEMI+CLASSICAL+ESTIMATES

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 TRACE IDENTITIES 38 89% 4% 17
2 COMMUTATOR BOUNDS 37 100% 3% 14
3 PAYNE POLYA WEINBERGER 35 86% 4% 18
4 1ST 2 EIGENVALUES 33 77% 5% 23
5 BIHARMONIC OPERATOR 21 71% 4% 17
6 CLAMPED PLATE PROBLEM 17 100% 2% 8
7 UNIVERSAL INEQUALITIES 14 100% 1% 7
8 POLYA WEINBERGER CONJECTURE 13 80% 2% 8
9 UNIVERSAL BOUNDS 9 55% 2% 11
10 BUCKLING PROBLEM 6 58% 1% 7

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN 2012 2 10 70%
ON SEMICLASSICAL AND UNIVERSAL INEQUALITIES FOR EIGENVALUES OF QUANTUM GRAPHS 2010 2 6 83%
Shape Recognition Based on Eigenvalues of the Laplacian 2011 2 74 35%
THE RANGE OF VALUES OF LAMBDA(2)/LAMBDA(1) AND LAMBDA(3)/LAMBDA(1) FOR THE FIXED MEMBRANE PROBLEM 1994 3 10 100%
Bound states for Schrodinger Hamiltonians: Phase space methods and applications 1996 18 20 40%
CAN ONE HEAR THE SHAPE OF A DRUM - REVISITED 1987 57 10 40%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 IMB FSB 2 50% 0.6% 3
2 MATH SYSTEMAT SCI 2 16% 2.1% 10
3 GRP MATH PHYS 1 14% 1.5% 7
4 ANAL DYNAM MODELLING 1 29% 0.4% 2
5 MATEMAT ICEB 0 33% 0.2% 1
6 MATHEMAT ORSAY 0 33% 0.2% 1
7 MATH INFORMAT EDUC 0 11% 0.6% 3
8 MOTRICIDADE HUMANA TU LISBON 0 17% 0.2% 1
9 CNRS UMR 5466 0 11% 0.2% 1
10 DINAM MODELLING 0 100% 0.2% 1

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000220831 LAPLACIAN EIGENVALUES EIGENVECTORS//EXTREMAL EIGENVALUE//BESSEL AND SPHERICAL BESSEL FUNCTIONS
2 0.0000186109 LAPLACIAN ON FORMS//BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//MAXIMUM MODULUS SET
3 0.0000150466 DOMAIN PERTURBATION//REAL ANALYTIC CONTINUATION IN BANACH SPACE//SINGULARLY PERTURBED DOMAIN
4 0.0000148895 RELATIVE REARRANGEMENT//STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY
5 0.0000112977 FRACTAL STRING//COMPLEX DIMENSIONS//MINKOWSKI CONTENT
6 0.0000095242 OPTIMAL COLUMNS//OPTIMAL SHAPE//BIMODAL OPTIMIZATION
7 0.0000088398 EFFECTIVE OPERATOR//OPERATOR ERROR ESTIMATES//QUANTUM WAVEGUIDES
8 0.0000085867 GROSS PITAEVSKII HIERARCHY//MANY BODY QUANTUM DYNAMICS//UMR8088
9 0.0000085360 OPERATOR POTENTIAL//M ACCRETIVE//COERCIVE ESTIMATE
10 0.0000081631 DOUBLE OPERATOR INTEGRALS//MULTIPLE OPERATOR INTEGRALS//OPERATOR LIPSCHITZ FUNCTIONS