Class information for:
Level 1: ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19740 491 19.1 40%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
2047 2             NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE 5355
19740 1                   ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL 491

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ISOSPECTRALITY authKW 418040 2% 61% 11
2 LAPLACE SPECTRUM authKW 234399 1% 54% 7
3 ISOSPECTRAL authKW 201481 2% 36% 9
4 2 STEP NILPOTENT LIE GROUP authKW 199003 1% 80% 4
5 GLOBAL RIEMANNIAN GEOMETRY authKW 199003 1% 80% 4
6 ISOSPECTRAL DEFORMATIONS authKW 199003 1% 80% 4
7 NILMANIFOLDS authKW 192930 2% 28% 11
8 HEARING THE SHAPE OF A DRUM authKW 186567 1% 100% 3
9 ISOSPECTRAL MANIFOLDS authKW 165835 1% 67% 4
10 WIMCS address 165835 1% 67% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 12646 69% 0% 337
2 Physics, Mathematical 1419 15% 0% 76
3 Mathematics, Applied 969 19% 0% 91
4 Physics, Multidisciplinary 258 12% 0% 59
5 Education, Scientific Disciplines 7 1% 0% 4
6 Physics, Fluids & Plasmas 6 1% 0% 7
7 Mathematics, Interdisciplinary Applications 3 1% 0% 5
8 Physics, Particles & Fields 2 2% 0% 8
9 Multidisciplinary Sciences 0 0% 0% 2
10 Acoustics -0 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 WIMCS 165835 1% 67% 4
2 ECOLE DOCTORALE SYST DYNAM GEOMETRIE 124378 0% 100% 2
3 ECEN FCEIA 79954 1% 43% 3
4 ADD T COMMUN S 62189 0% 100% 1
5 CARDIFF MATH WIMCS 62189 0% 100% 1
6 CONICET CIENCIAS EXACTAS INGN AGRIMENSURA 62189 0% 100% 1
7 LEHRSTUHL LSVI 62189 0% 100% 1
8 PL STAT DATA PROC 46637 1% 25% 3
9 ANAL TOPOL PROBABILUMR 6632 31094 0% 50% 1
10 FAMAF CIEM 26178 1% 11% 4

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 8491 2% 1% 11
2 JOURNAL OF DIFFERENTIAL GEOMETRY 4386 2% 1% 11
3 DUKE MATHEMATICAL JOURNAL 4155 3% 0% 14
4 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 3617 1% 1% 6
5 JOURNAL OF GEOMETRIC ANALYSIS 3353 1% 1% 7
6 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 2884 4% 0% 20
7 GEOMETRIAE DEDICATA 2500 2% 0% 11
8 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 2414 1% 1% 6
9 COMMENTARII MATHEMATICI HELVETICI 2387 1% 1% 7
10 ANNALES DE L INSTITUT FOURIER 1821 2% 0% 8

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 ISOSPECTRALITY 418040 2% 61% 11 Search ISOSPECTRALITY Search ISOSPECTRALITY
2 LAPLACE SPECTRUM 234399 1% 54% 7 Search LAPLACE+SPECTRUM Search LAPLACE+SPECTRUM
3 ISOSPECTRAL 201481 2% 36% 9 Search ISOSPECTRAL Search ISOSPECTRAL
4 2 STEP NILPOTENT LIE GROUP 199003 1% 80% 4 Search 2+STEP+NILPOTENT+LIE+GROUP Search 2+STEP+NILPOTENT+LIE+GROUP
5 GLOBAL RIEMANNIAN GEOMETRY 199003 1% 80% 4 Search GLOBAL+RIEMANNIAN+GEOMETRY Search GLOBAL+RIEMANNIAN+GEOMETRY
6 ISOSPECTRAL DEFORMATIONS 199003 1% 80% 4 Search ISOSPECTRAL+DEFORMATIONS Search ISOSPECTRAL+DEFORMATIONS
7 NILMANIFOLDS 192930 2% 28% 11 Search NILMANIFOLDS Search NILMANIFOLDS
8 HEARING THE SHAPE OF A DRUM 186567 1% 100% 3 Search HEARING+THE+SHAPE+OF+A+DRUM Search HEARING+THE+SHAPE+OF+A+DRUM
9 ISOSPECTRAL MANIFOLDS 165835 1% 67% 4 Search ISOSPECTRAL+MANIFOLDS Search ISOSPECTRAL+MANIFOLDS
10 KIRILLOV THEORY 139924 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 GIRAUD, O , THAS, K , (2010) HEARING SHAPES OF DRUMS: MATHEMATICAL AND PHYSICAL ASPECTS OF ISOSPECTRALITY.REVIEWS OF MODERN PHYSICS. VOL. 82. ISSUE 3. P. 2213 -2255 41 52% 18
2 ZAYED, EME , (2005) THE 3D INVERSE PROBLEM OF THE WAVE EQUATION FOR A GENERAL MULTI-CONNECTED VIBRATING MEMBRANE WITH A FINITE NUMBER OF PIECEWISE SMOOTH BOUNDARY CONDITIONS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 21. ISSUE 4. P. 733-752 22 100% 0
3 ZAYED, EME , ABDEL-HALIM, IH , (2001) THE 3D INVERSE PROBLEM FOR WAVES WITH FRACTAL AND GENERAL ANNULAR BOUNDED DOMAIN WITH PIECEWISE SMOOTH ROBIN BOUNDARY.CHAOS SOLITONS & FRACTALS. VOL. 12. ISSUE 12. P. 2307 -2321 26 93% 0
4 OREN, I , BAND, R , (2012) ISOSPECTRAL GRAPHS WITH IDENTICAL NODAL COUNTS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 13. P. - 20 83% 2
5 SCHUETH, D , (2001) ISOSPECTRAL MANIFOLDS WITH DIFFERENT LOCAL GEOMETRIES.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 534. ISSUE . P. 41 -94 24 92% 17
6 GORNET, R , (2008) RIEMANNIAN NILMANIFOLDS, THE WAVE TRACE, AND THE LENGTH SPECTRUM.COMMUNICATIONS IN ANALYSIS AND GEOMETRY. VOL. 16. ISSUE 1. P. 27-89 20 91% 0
7 ZAYED, EME , (2003) THE WAVE EQUATION APPROACH TO AN INVERSE PROBLEM FOR A GENERAL MULTI-CONNECTED DOMAIN IN R-2 WITH MIXED BOUNDARY CONDITIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 144. ISSUE 2-3. P. 457-474 20 91% 0
8 ZAYED, EME , ABDEL-HALIM, IH , (2002) AN INVERSE PROBLEM OF THE WAVE EQUATION FOR A-GENERAL DOUBLY CONNECTED REGION IN R-2 WITH A FINITE NUMBER OF PIECEWISE SMOOTH ROBIN BOUNDARY CONDITIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 132. ISSUE 1. P. 187 -204 19 95% 0
9 GORNET, R , (2005) RIEMANNIAN NILMANIFOLDS AND THE TRACE FORMULA.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 357. ISSUE 11. P. 4445-4479 19 86% 3
10 GNUTZMANN, S , LOIS, S , (2013) ON THE NODAL COUNT STATISTICS FOR SEPARABLE SYSTEMS IN ANY DIMENSION.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 46. ISSUE 4. P. - 16 80% 0

Classes with closest relation at Level 1


Rank Class id link
1 34098 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
2 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING
3 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
4 14256 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
5 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
6 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS
7 22321 SPINOR CLASS FIELDS//TERNARY QUADRATIC FORMS//REPRESENTATIONS OF INTEGERS
8 24654 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//RANDOM POLYNOMIALS
9 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY
10 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES

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