Class information for:
Level 1: NONCOMMUTATIVE GEOMETRY//NONCOMMUTATIVE RESIDUE//SPECTRAL TRIPLE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
14130 790 24.9 48%



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
2083 2             ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION 5216
14130 1                   NONCOMMUTATIVE GEOMETRY//NONCOMMUTATIVE RESIDUE//SPECTRAL TRIPLE 790

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 NONCOMMUTATIVE GEOMETRY authKW 822785 14% 20% 109
2 NONCOMMUTATIVE RESIDUE authKW 618407 3% 80% 20
3 SPECTRAL TRIPLE authKW 424455 5% 31% 36
4 SPECTRAL ACTION authKW 397549 2% 86% 12
5 NONCOMMUTATIVE RESIDUE FOR MANIFOLDS WITH BOUNDARY authKW 231906 1% 100% 6
6 CATEGORICAL QUANTIZATIONS authKW 115953 0% 100% 3
7 FERMIONS OSCILLATIONS authKW 115953 0% 100% 3
8 GRAVITATIONAL ACTION FOR MANIFOLDS WITH BOUNDARY authKW 115953 0% 100% 3
9 NON ASSOCIATIVE GEOMETRY authKW 115953 0% 100% 3
10 STANDARD MODEL OF PARTICLE PHYSICS authKW 88342 1% 57% 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 Physics, Mathematical 18150 42% 0% 334
2 Physics, Particles & Fields 6386 30% 0% 236
3 Physics, Nuclear 2177 16% 0% 128
4 Physics, Multidisciplinary 1692 22% 0% 176
5 Mathematics, Applied 1243 17% 0% 132
6 Astronomy & Astrophysics 979 16% 0% 124
7 Mathematics 902 16% 0% 125
8 Mathematics, Interdisciplinary Applications -0 0% 0% 3
9 Statistics & Probability -1 0% 0% 3
10 Multidisciplinary Sciences -1 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 DEP MATH COMP 77302 0% 100% 2
2 AA FRIEDMANN THEORET PHYS 38651 0% 100% 1
3 ABT F WAHR EINLICKEITSTHEORIE MATH STAT 38651 0% 100% 1
4 AFFILE FRUMAM FR 2291 38651 0% 100% 1
5 ANAL MATEMAT GEOMETRIA SISTEMAS DINAMICAS 38651 0% 100% 1
6 COPENHAGEN AREA 38651 0% 100% 1
7 DEP MATH SCI COMP 38651 0% 100% 1
8 DIPARTIMENTO FIS GTC 38651 0% 100% 1
9 MATH COMPLEXE CEZEAUX 38651 0% 100% 1
10 PHIS THEOR 38651 0% 100% 1

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 JOURNAL OF GEOMETRY AND PHYSICS 69955 9% 3% 68
2 JOURNAL OF NONCOMMUTATIVE GEOMETRY 52223 2% 7% 19
3 PROGRESS OF THEORETICAL PHYSICS 17765 7% 1% 52
4 JOURNAL OF MATHEMATICAL PHYSICS 11164 9% 0% 68
5 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 10704 2% 1% 19
6 LETTERS IN MATHEMATICAL PHYSICS 10181 4% 1% 29
7 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 8965 1% 4% 6
8 INTERNATIONAL JOURNAL OF MODERN PHYSICS A 6555 5% 0% 40
9 COMMUNICATIONS IN MATHEMATICAL PHYSICS 6460 5% 0% 37
10 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 6306 2% 1% 14

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 NONCOMMUTATIVE GEOMETRY 822785 14% 20% 109 Search NONCOMMUTATIVE+GEOMETRY Search NONCOMMUTATIVE+GEOMETRY
2 NONCOMMUTATIVE RESIDUE 618407 3% 80% 20 Search NONCOMMUTATIVE+RESIDUE Search NONCOMMUTATIVE+RESIDUE
3 SPECTRAL TRIPLE 424455 5% 31% 36 Search SPECTRAL+TRIPLE Search SPECTRAL+TRIPLE
4 SPECTRAL ACTION 397549 2% 86% 12 Search SPECTRAL+ACTION Search SPECTRAL+ACTION
5 NONCOMMUTATIVE RESIDUE FOR MANIFOLDS WITH BOUNDARY 231906 1% 100% 6 Search NONCOMMUTATIVE+RESIDUE+FOR+MANIFOLDS+WITH+BOUNDARY Search NONCOMMUTATIVE+RESIDUE+FOR+MANIFOLDS+WITH+BOUNDARY
6 CATEGORICAL QUANTIZATIONS 115953 0% 100% 3 Search CATEGORICAL+QUANTIZATIONS Search CATEGORICAL+QUANTIZATIONS
7 FERMIONS OSCILLATIONS 115953 0% 100% 3 Search FERMIONS+OSCILLATIONS Search FERMIONS+OSCILLATIONS
8 GRAVITATIONAL ACTION FOR MANIFOLDS WITH BOUNDARY 115953 0% 100% 3 Search GRAVITATIONAL+ACTION+FOR+MANIFOLDS+WITH+BOUNDARY Search GRAVITATIONAL+ACTION+FOR+MANIFOLDS+WITH+BOUNDARY
9 NON ASSOCIATIVE GEOMETRY 115953 0% 100% 3 Search NON+ASSOCIATIVE+GEOMETRY Search NON+ASSOCIATIVE+GEOMETRY
10 STANDARD MODEL OF PARTICLE PHYSICS 88342 1% 57% 4 Search STANDARD+MODEL+OF+PARTICLE+PHYSICS Search STANDARD+MODEL+OF+PARTICLE+PHYSICS

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 DEVASTATO, A , LIZZI, F , MARTINETTI, P , (2014) GRAND SYMMETRY, SPECTRAL ACTION AND THE HIGGS MASS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 1. P. - 33 79% 19
2 VAN DEN DUNGEN, K , VAN SUIJLEKOM, WD , (2012) PARTICLE PHYSICS FROM ALMOST-COMMUTATIVE SPACETIMES.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 24. ISSUE 9. P. - 44 67% 13
3 JUREIT, JH , STEPHAN, CA , (2009) ON A CLASSIFICATION OF IRREDUCIBLE ALMOST-COMMUTATIVE GEOMETRIES V.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 50. ISSUE 7. P. - 32 97% 1
4 STEPHAN, CA , (2009) INVERSE SEESAW MECHANISM IN NONCOMMUTATIVE GEOMETRY.PHYSICAL REVIEW D. VOL. 80. ISSUE 6. P. - 31 97% 2
5 OKUMURA, Y , (2000) GRAVITY-INCORPORATED STANDARD MODEL IN A GENERALIZED DIFFERENTIAL GEOMETRY.JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS. VOL. 26. ISSUE 11. P. 1709 -1722 39 100% 1
6 OKUMURA, Y , (2003) LEFT-RIGHT SYMMETRIC GAUGE MODEL IN GENERALIZED DIFFERENTIAL GEOMETRY ON M-4 X X-4.JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS. VOL. 29. ISSUE 7. P. 1351-1372 35 97% 0
7 FATHIZADEH, F , GHORBANPOUR, A , KHALKHALI, M , (2014) RATIONALITY OF SPECTRAL ACTION FOR ROBERTSON-WALKER METRICS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 12. P. - 26 93% 1
8 OKUMURA, Y , (2000) BECCHI-ROUET-STORA-TYUTIN INVARIANT FORMULATION OF SPONTANEOUSLY BROKEN GAUGE THEORY IN A GENERALIZED DIFFERENTIAL GEOMETRY.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 41. ISSUE 4. P. 1788 -1800 40 89% 1
9 OKUMURA, Y , KASE, K , MORITA, K , (2001) RECONSTRUCTION OF THE STANDARD MODEL IN A GENERALIZED DIFFERENTIAL GEOMETRY BASED ON THE REAL STRUCTURE.EUROPEAN PHYSICAL JOURNAL C. VOL. 20. ISSUE 1. P. 185 -191 34 100% 0
10 OKUMURA, Y , MORI, K , (2000) REFORMULATION OF THE STANDARD MODEL IN A GENERALIZED DIFFERENTIAL GEOMETRY ON THE DISCRETE SPACE M-4 X X-2.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 41. ISSUE 9. P. 6048 -6059 33 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
2 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES
3 20256 CAUSAL SETS//ABSTRACT DIFFERENTIAL GEOMETRY//BOOLEAN LOCALIZATION SYSTEMS
4 716 NON COMMUTATIVE GEOMETRY//NONCOMMUTATIVE FIELD THEORY//NONCOMMUTATIVE GEOMETRY
5 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
6 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
7 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
8 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
9 36257 TETRONS//DISCRETE SPATIAL EFFECTS//GENERATION SYMMETRY
10 1371 QUANTUM GROUPS//Q DEFORMATION//BOSON REALIZATION

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