Class information for:
Level 1: ISOSPECTRALITY//NILMANIFOLDS//ISOSPECTRAL MANIFOLDS

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
20546 1                   ISOSPECTRALITY//NILMANIFOLDS//ISOSPECTRAL MANIFOLDS 479

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ISOSPECTRALITY authKW 313304 2% 48% 10
2 NILMANIFOLDS authKW 242923 3% 31% 12
3 ISOSPECTRAL MANIFOLDS authKW 234983 1% 71% 5
4 LAPLACE SPECTRUM authKW 230279 1% 50% 7
5 2 STEP NILPOTENT LIE GROUP authKW 210546 1% 80% 4
6 GLOBAL RIEMANNIAN GEOMETRY authKW 210546 1% 80% 4
7 HEARING THE SHAPE OF A DRUM authKW 197388 1% 100% 3
8 ISOSPECTRAL DEFORMATIONS authKW 175454 1% 67% 4
9 HEAT INVARIANTS authKW 150388 1% 57% 4
10 KIRILLOV THEORY authKW 148040 1% 75% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 15722 77% 0% 371
2 Mathematics, Applied 1093 20% 0% 95
3 Physics, Mathematical 478 9% 0% 45
4 Physics, Multidisciplinary 15 4% 0% 21
5 Multidisciplinary Sciences 10 1% 0% 5
6 Mathematics, Interdisciplinary Applications 3 1% 0% 5
7 Physics, Fluids & Plasmas 2 1% 0% 5
8 Education, Scientific Disciplines 1 0% 0% 2
9 Nuclear Science & Technology -0 1% 0% 3
10 Acoustics -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ECOLE DOCTORALE SYST DYNAM GEOMETRIE 131592 0% 100% 2
2 ECEN FCEIA 84592 1% 43% 3
3 CONICET CIENCIAS EXACTAS INGN AGRIMENSURA 65796 0% 100% 1
4 DEPARTIMENTO ENGN SCI 65796 0% 100% 1
5 LEHRSTUHL LSVI 65796 0% 100% 1
6 ANAL MATEMAT GEOMET SISTEMAS DINAM 32897 0% 50% 1
7 ANAL TOPOL PROBABILUMR 6632 32897 0% 50% 1
8 MATEMAT ZAMETKI 21931 0% 33% 1
9 MEDINA ALLENDE HAYA TORRE 21931 0% 33% 1
10 PH D PROGRAM MATH 21931 0% 33% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 10377 3% 1% 12
2 JOURNAL OF LIE THEORY 6586 2% 1% 9
3 JOURNAL OF DIFFERENTIAL GEOMETRY 4588 2% 1% 11
4 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 3821 1% 1% 6
5 DUKE MATHEMATICAL JOURNAL 3743 3% 0% 13
6 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 3734 5% 0% 22
7 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 2505 1% 1% 6
8 COMMENTARII MATHEMATICI HELVETICI 2503 1% 1% 7
9 GEOMETRIAE DEDICATA 2157 2% 0% 10
10 JOURNAL OF GEOMETRIC ANALYSIS 1624 1% 0% 5

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ISOSPECTRALITY 313304 2% 48% 10 Search ISOSPECTRALITY Search ISOSPECTRALITY
2 NILMANIFOLDS 242923 3% 31% 12 Search NILMANIFOLDS Search NILMANIFOLDS
3 ISOSPECTRAL MANIFOLDS 234983 1% 71% 5 Search ISOSPECTRAL+MANIFOLDS Search ISOSPECTRAL+MANIFOLDS
4 LAPLACE SPECTRUM 230279 1% 50% 7 Search LAPLACE+SPECTRUM Search LAPLACE+SPECTRUM
5 2 STEP NILPOTENT LIE GROUP 210546 1% 80% 4 Search 2+STEP+NILPOTENT+LIE+GROUP Search 2+STEP+NILPOTENT+LIE+GROUP
6 GLOBAL RIEMANNIAN GEOMETRY 210546 1% 80% 4 Search GLOBAL+RIEMANNIAN+GEOMETRY Search GLOBAL+RIEMANNIAN+GEOMETRY
7 HEARING THE SHAPE OF A DRUM 197388 1% 100% 3 Search HEARING+THE+SHAPE+OF+A+DRUM Search HEARING+THE+SHAPE+OF+A+DRUM
8 ISOSPECTRAL DEFORMATIONS 175454 1% 67% 4 Search ISOSPECTRAL+DEFORMATIONS Search ISOSPECTRAL+DEFORMATIONS
9 HEAT INVARIANTS 150388 1% 57% 4 Search HEAT+INVARIANTS Search HEAT+INVARIANTS
10 KIRILLOV THEORY 148040 1% 75% 3 Search KIRILLOV+THEORY Search KIRILLOV+THEORY

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 25100 EINSTEIN NILRADICAL//EINSTEIN METRICS//SOLITON METRIC
2 33645 CUICBAS//INHOMOGENEOUS STRING//EXTREMAL EIGENVALUE
3 34351 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
4 37827 DOMINION//SPECIAL AMALGAM//AXIOMATIC RANK
5 27411 BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE
6 23545 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//HADAMARD FORMULA
7 15971 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
8 20775 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
9 35440 QUASI SASAKIAN STRUCTURE//COSYMPLECTIC STRUCTURE//HOMOGENEOUS K SYMMETRIC SPACE
10 25221 MCSHANES IDENTITY//JORGENSEN THEORY//MCSHANE IDENTITY

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