Class information for:
Level 1: BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE

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
27411 1                   BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE 249

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BETHE SOMMERFELD CONJECTURE authKW 506294 2% 100% 4
2 MAGNITOGORSK STATE PEDAG address 253147 1% 100% 2
3 REGULARIZED TRACE authKW 221493 3% 25% 7
4 ABSOLUTE CONTINUITY OF THE SPECTRUM authKW 126573 0% 100% 1
5 ALMOST LIOUVILLE METRIC authKW 126573 0% 100% 1
6 APPROXIMATE METHODS FOR PROBLEMS CONCERNING HYDRODYNAMIC STABILITY OF VISCOUS FLOWS authKW 126573 0% 100% 1
7 BLOCH EIGENVALUE authKW 126573 0% 100% 1
8 BLOCH EIGENVALUES AND EIGENFUNCTIONS authKW 126573 0% 100% 1
9 BUNDLE OF HALF DENSITIES authKW 126573 0% 100% 1
10 COHERENT ANALYTIC SHEAF authKW 126573 0% 100% 1

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 8185 78% 0% 193
2 Physics, Mathematical 699 15% 0% 38
3 Mathematics, Applied 302 15% 0% 37
4 Multidisciplinary Sciences 247 6% 0% 14
5 Physics, Multidisciplinary 42 8% 0% 19
6 Mechanics 6 3% 0% 7
7 Physics, Particles & Fields 5 2% 0% 6
8 Mathematical & Computational Biology 0 0% 0% 1
9 Mathematics, Interdisciplinary Applications -0 0% 0% 1
10 Statistics & Probability -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MAGNITOGORSK STATE PEDAG 253147 1% 100% 2
2 UA 758 126573 0% 100% 1
3 UDMURTIA SCI 84380 1% 33% 2
4 MAT ANAL ITS PLICAT 63286 0% 50% 1
5 UA 760 42190 0% 33% 1
6 MATH ANAL ITS PLICAT 26643 1% 11% 2
7 UNITE MIXTE RECH CNRS UJF 5582 15820 0% 13% 1
8 ANAL DYNAM MODELLING 12656 0% 10% 1
9 UMR 6629 CNRS 9039 0% 7% 1
10 THEORET MATH 4112 1% 2% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIFFERENTIAL EQUATIONS 25566 11% 1% 28
2 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 12191 5% 1% 13
3 DOKLADY MATHEMATICS 11527 7% 1% 17
4 JOURNAL OF SPECTRAL THEORY 6656 1% 2% 3
5 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 5973 3% 1% 7
6 ANNALES HENRI POINCARE 4291 2% 1% 6
7 MATHEMATICAL NOTES 4168 5% 0% 13
8 SBORNIK MATHEMATICS 3882 3% 0% 7
9 MATHEMATICS OF THE USSR-SBORNIK 2881 2% 1% 4
10 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 2462 2% 0% 4

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 BETHE SOMMERFELD CONJECTURE 506294 2% 100% 4 Search BETHE+SOMMERFELD+CONJECTURE Search BETHE+SOMMERFELD+CONJECTURE
2 REGULARIZED TRACE 221493 3% 25% 7 Search REGULARIZED+TRACE Search REGULARIZED+TRACE
3 ABSOLUTE CONTINUITY OF THE SPECTRUM 126573 0% 100% 1 Search ABSOLUTE+CONTINUITY+OF+THE+SPECTRUM Search ABSOLUTE+CONTINUITY+OF+THE+SPECTRUM
4 ALMOST LIOUVILLE METRIC 126573 0% 100% 1 Search ALMOST+LIOUVILLE+METRIC Search ALMOST+LIOUVILLE+METRIC
5 APPROXIMATE METHODS FOR PROBLEMS CONCERNING HYDRODYNAMIC STABILITY OF VISCOUS FLOWS 126573 0% 100% 1 Search APPROXIMATE+METHODS+FOR+PROBLEMS+CONCERNING+HYDRODYNAMIC+STABILITY+OF+VISCOUS+FLOWS Search APPROXIMATE+METHODS+FOR+PROBLEMS+CONCERNING+HYDRODYNAMIC+STABILITY+OF+VISCOUS+FLOWS
6 BLOCH EIGENVALUE 126573 0% 100% 1 Search BLOCH+EIGENVALUE Search BLOCH+EIGENVALUE
7 BLOCH EIGENVALUES AND EIGENFUNCTIONS 126573 0% 100% 1 Search BLOCH+EIGENVALUES+AND+EIGENFUNCTIONS Search BLOCH+EIGENVALUES+AND+EIGENFUNCTIONS
8 BUNDLE OF HALF DENSITIES 126573 0% 100% 1 Search BUNDLE+OF+HALF+DENSITIES Search BUNDLE+OF+HALF+DENSITIES
9 COHERENT ANALYTIC SHEAF 126573 0% 100% 1 Search COHERENT+ANALYTIC+SHEAF Search COHERENT+ANALYTIC+SHEAF
10 COMPUTATION OF EIGENVALUES AND EIGENFUNCTIONS 126573 0% 100% 1 Search COMPUTATION+OF+EIGENVALUES+AND+EIGENFUNCTIONS Search COMPUTATION+OF+EIGENVALUES+AND+EIGENFUNCTIONS

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 31121 PHOTON REST MASS//SCI CONSULTANTS//ATOM LEAD COUPLING
2 15971 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
3 16470 MAGNETIC SCHRODINGER OPERATOR//LIEB THIRRING TYPE INEQUALITY//COMPLEX PERTURBATION
4 20546 ISOSPECTRALITY//NILMANIFOLDS//ISOSPECTRAL MANIFOLDS
5 7341 RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//WEGNER ESTIMATE
6 31668 FOURIER INVERSION FORMULA//HONG KRAHN SZEGO INEQUALITY//M HYPOELLIPTICITY
7 9493 TRAPPED MODES//EFFECTIVE OPERATOR//OPERATOR ERROR ESTIMATES
8 4419 LIMITING ABSORPTION PRINCIPLE//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE//RESONANCES
9 5435 INVERSE NODAL PROBLEM//INVERSE SPECTRAL PROBLEM//STURM LIOUVILLE OPERATOR
10 20357 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//NODAL SETS

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