Class information for:
Level 1: ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13618 824 24.3 41%


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
13618 1                   ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES 824

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 ZETA DETERMINANT authKW 407616 1% 100% 11
2 HEAT CONTENT ASYMPTOTICS authKW 259392 1% 100% 7
3 MANIFOLDS WITH CONICAL SINGULARITIES authKW 197627 1% 67% 8
4 SPECTRAL FLOW authKW 164732 2% 26% 17
5 FREDHOLM LAGRANGIAN GRASSMANNIAN authKW 148224 0% 100% 4
6 HEAT TRACE ASYMPTOTICS authKW 148220 1% 67% 6
7 B CALCULUS authKW 115796 1% 63% 5
8 MASLOV INDEX authKW 112907 2% 19% 16
9 CROSSING FORMS authKW 111168 0% 100% 3
10 DIRAC LAPLACIAN authKW 111168 0% 100% 3

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 16272 60% 0% 497
2 Physics, Mathematical 4286 21% 0% 169
3 Mathematics, Applied 1679 19% 0% 155
4 Physics, Particles & Fields 1493 15% 0% 121
5 Astronomy & Astrophysics 369 10% 0% 83
6 Physics, Multidisciplinary 212 9% 0% 74
7 Physics, Nuclear 75 4% 0% 30
8 Social Sciences, Interdisciplinary 0 0% 0% 3
9 Statistics & Probability 0 1% 0% 5
10 Mathematics, Interdisciplinary Applications -0 0% 0% 4

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 MATH UMR 74112 0% 100% 2
2 MATEMAT FYS 66698 0% 60% 3
3 ARBEITSGRP PARTIELLE DIFFERENTIALGLEICHUNGEN KO 49407 0% 67% 2
4 EX FIORINI 47640 0% 43% 3
5 A VOLTA SCI CULTURE 37056 0% 100% 1
6 ECOLE NORMALE SUPER LYONUMPA 37056 0% 100% 1
7 FAK INFORMAT ANGEW MATH 37056 0% 100% 1
8 HIGHER COUNCIL 37056 0% 100% 1
9 INS MATEMAT FYS 37056 0% 100% 1
10 KWANGSANKU 37056 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 PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 28907 1% 7% 11
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 7377 3% 1% 22
3 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 7059 2% 1% 13
4 COMMUNICATIONS IN MATHEMATICAL PHYSICS 6190 4% 0% 37
5 JOURNAL OF FUNCTIONAL ANALYSIS 5804 4% 0% 32
6 MATHEMATISCHE NACHRICHTEN 5745 3% 1% 25
7 JOURNAL OF DIFFERENTIAL GEOMETRY 4227 2% 1% 14
8 JOURNAL OF GEOMETRY AND PHYSICS 4166 2% 1% 17
9 CLASSICAL AND QUANTUM GRAVITY 4163 4% 0% 35
10 JOURNAL OF GEOMETRIC ANALYSIS 4075 1% 1% 10

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 ZETA DETERMINANT 407616 1% 100% 11 Search ZETA+DETERMINANT Search ZETA+DETERMINANT
2 HEAT CONTENT ASYMPTOTICS 259392 1% 100% 7 Search HEAT+CONTENT+ASYMPTOTICS Search HEAT+CONTENT+ASYMPTOTICS
3 MANIFOLDS WITH CONICAL SINGULARITIES 197627 1% 67% 8 Search MANIFOLDS+WITH+CONICAL+SINGULARITIES Search MANIFOLDS+WITH+CONICAL+SINGULARITIES
4 SPECTRAL FLOW 164732 2% 26% 17 Search SPECTRAL+FLOW Search SPECTRAL+FLOW
5 FREDHOLM LAGRANGIAN GRASSMANNIAN 148224 0% 100% 4 Search FREDHOLM+LAGRANGIAN+GRASSMANNIAN Search FREDHOLM+LAGRANGIAN+GRASSMANNIAN
6 HEAT TRACE ASYMPTOTICS 148220 1% 67% 6 Search HEAT+TRACE+ASYMPTOTICS Search HEAT+TRACE+ASYMPTOTICS
7 B CALCULUS 115796 1% 63% 5 Search B+CALCULUS Search B+CALCULUS
8 MASLOV INDEX 112907 2% 19% 16 Search MASLOV+INDEX Search MASLOV+INDEX
9 CROSSING FORMS 111168 0% 100% 3 Search CROSSING+FORMS Search CROSSING+FORMS
10 DIRAC LAPLACIAN 111168 0% 100% 3 Search DIRAC+LAPLACIAN Search DIRAC+LAPLACIAN

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 VASSILEVICH, DV , (2003) HEAT KERNEL EXPANSION: USER'S MANUAL.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 388. ISSUE 5-6. P. 279 -360 80 29% 358
2 LOYA, P , MCDONALD, P , PARK, J , (2007) ZETA REGULARIZED DETERMINANTS FOR CONIC MANIFOLDS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 242. ISSUE 1. P. 195-229 27 90% 9
3 KIRSTEN, K , LOYA, P , PARK, J , (2008) EXOTIC EXPANSIONS AND PATHOLOGICAL PROPERTIES OF ZETA-FUNCTIONS ON CONIC MANIFOLDS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 18. ISSUE 3. P. 835 -888 29 81% 10
4 KIRSTEN, K , LOYA, P , PARK, J , (2006) ZETA FUNCTIONS OF DIRAC AND LAPLACE-TYPE OPERATORS OVER FINITE CYLINDERS.ANNALS OF PHYSICS. VOL. 321. ISSUE 8. P. 1814-1842 32 78% 2
5 ESPOSITO, G , FUCCI, G , KAMENSHCHIK, AY , KIRSTEN, K , (2012) SPECTRAL METHODS IN QUANTUM FIELD THEORY AND QUANTUM COSMOLOGY.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 37. P. - 24 89% 1
6 VAN DEN BERG, M , GILKEY, P , KANG, H , (2013) NEUMANN HEAT CONTENT ASYMPTOTICS WITH SINGULAR INITIAL TEMPERATURE AND SINGULAR SPECIFIC HEAT.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 14. ISSUE 1. P. 267 -298 23 88% 0
7 LOYA, P , PARK, JS , (2006) ON THE GLUING PROBLEM FOR THE SPECTRAL INVARIANTS OF DIRAC OPERATORS.ADVANCES IN MATHEMATICS. VOL. 202. ISSUE 2. P. 401-450 24 96% 3
8 GIL, JB , KRAINER, T , MENDOZA, GA , (2010) TRACE EXPANSIONS FOR ELLIPTIC CONE OPERATORS WITH STATIONARY DOMAINS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 12. P. 6495 -6522 20 100% 3
9 KIRK, P , LESCH, M , (2004) THE ETA-INVARIANT, MASLOV INDEX, AND SPECTRAL FLOW FOR DIRAC-TYPE OPERATORS ON MANIFOLDS WITH BOUNDARY.FORUM MATHEMATICUM. VOL. 16. ISSUE 4. P. 553-629 23 96% 39
10 MOSS, IG , (2013) BRST-INVARIANT BOUNDARY CONDITIONS AND STRONG ELLIPTICITY.PHYSICAL REVIEW D. VOL. 88. ISSUE 10. P. - 23 77% 0

Classes with closest relation at Level 1


Rank Class id link
1 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
2 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
3 9545 PHYS IFAE//IST MECCAN//PHYS ECM
4 14130 NONCOMMUTATIVE GEOMETRY//NONCOMMUTATIVE RESIDUE//SPECTRAL TRIPLE
5 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
6 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION
7 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
8 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES
9 1842 CASIMIR EFFECT//CASIMIR FORCE//CASIMIR ENERGY
10 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS

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