Class information for:
Level 2: MULTISUMMABILITY//BOREL SUMMABILITY//ULTRADIFFERENTIABLE FUNCTIONS

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
482 3       MATHEMATICS//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES 24304
2807 2             MULTISUMMABILITY//BOREL SUMMABILITY//ULTRADIFFERENTIABLE FUNCTIONS 3298
11288 1                   ULTRADIFFERENTIABLE FUNCTIONS//PROJECTIVE DESCRIPTION//SPACE OF REAL ANALYTIC FUNCTIONS 1021
15760 1                   KIRCHHOFF EQUATION//P EVOLUTION EQUATIONS//GEVREY WELL POSEDNESS 720
17611 1                   MULTISUMMABILITY//BOREL SUMMABILITY//GEVREY ESTIMATES 618
18009 1                   COMPLEX VECTOR FIELDS//ANALYTIC HYPOELLIPTICITY//NON COMMUTATIVE HARMONIC OSCILLATOR 598
26926 1                   NONLINEAR MIXED EQUATIONS//TRICOMI PROBLEM//PARABOLIC DEGENERACY 262
37636 1                   PL MATH AUTOMAT//STERLITAMAK STATE PEDAG//KABARDINO BALKAR SCI 79

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MULTISUMMABILITY authKW 171981 1% 100% 18
2 BOREL SUMMABILITY authKW 161962 1% 63% 27
3 ULTRADIFFERENTIABLE FUNCTIONS authKW 149160 1% 71% 22
4 MATHEMATICS WoSSC 143262 89% 1% 2930
5 COMPLEX VECTOR FIELDS authKW 111171 0% 73% 16
6 ANALYTIC HYPOELLIPTICITY authKW 105099 0% 100% 11
7 HYPOELLIPTICITY authKW 96773 1% 35% 29
8 NON COMMUTATIVE HARMONIC OSCILLATOR authKW 95545 0% 100% 10
9 WEAKLY HYPERBOLIC EQUATIONS authKW 85990 0% 100% 9
10 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY journal 84848 3% 9% 103

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 143262 89% 1% 2930
2 Mathematics, Applied 16022 28% 0% 932
3 Multidisciplinary Sciences 541 2% 0% 81
4 Physics, Mathematical 59 2% 0% 63
5 Automation & Control Systems 2 1% 0% 20
6 Physics, Fluids & Plasmas -0 1% 0% 19
7 Engineering, Aerospace -2 0% 0% 4
8 Limnology -3 0% 0% 1
9 Geology -4 0% 0% 1
10 Statistics & Probability -6 0% 0% 8

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FB MATH NAT 61145 0% 80% 8
2 DIPARTIMENTO MATEMAT PLICATA ULISSE DINI 43419 0% 45% 10
3 PL MATH AUTOMAT 33481 0% 22% 16
4 POZNAN BRANCH 31132 0% 22% 15
5 E POLITECN SUPER ALCOY 30573 0% 80% 4
6 MATH GEOGR FAK 29892 0% 26% 12
7 IUMPA 27784 1% 15% 19
8 ALGEBRA ANAL MATEMAT GEOMETRIA TOPOL 24562 0% 43% 6
9 KABARDINO BALKAR SCI 24550 0% 21% 12
10 DIPARTIMENTO MATEMAT LEONIDA TONELLI 23508 0% 31% 8

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 84848 3% 9% 103
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 66486 4% 5% 131
3 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 51713 3% 7% 83
4 MATHEMATISCHE NACHRICHTEN 31480 4% 3% 117
5 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 27496 2% 4% 81
6 STUDIA MATHEMATICA 27060 3% 3% 92
7 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 20339 1% 9% 24
8 JOURNAL OF DIFFERENTIAL EQUATIONS 20268 4% 2% 126
9 OSAKA JOURNAL OF MATHEMATICS 18813 2% 3% 61
10 DIFFERENTIAL EQUATIONS 15242 2% 2% 79

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MULTISUMMABILITY 171981 1% 100% 18 Search MULTISUMMABILITY Search MULTISUMMABILITY
2 BOREL SUMMABILITY 161962 1% 63% 27 Search BOREL+SUMMABILITY Search BOREL+SUMMABILITY
3 ULTRADIFFERENTIABLE FUNCTIONS 149160 1% 71% 22 Search ULTRADIFFERENTIABLE+FUNCTIONS Search ULTRADIFFERENTIABLE+FUNCTIONS
4 COMPLEX VECTOR FIELDS 111171 0% 73% 16 Search COMPLEX+VECTOR+FIELDS Search COMPLEX+VECTOR+FIELDS
5 ANALYTIC HYPOELLIPTICITY 105099 0% 100% 11 Search ANALYTIC+HYPOELLIPTICITY Search ANALYTIC+HYPOELLIPTICITY
6 HYPOELLIPTICITY 96773 1% 35% 29 Search HYPOELLIPTICITY Search HYPOELLIPTICITY
7 NON COMMUTATIVE HARMONIC OSCILLATOR 95545 0% 100% 10 Search NON+COMMUTATIVE+HARMONIC+OSCILLATOR Search NON+COMMUTATIVE+HARMONIC+OSCILLATOR
8 WEAKLY HYPERBOLIC EQUATIONS 85990 0% 100% 9 Search WEAKLY+HYPERBOLIC+EQUATIONS Search WEAKLY+HYPERBOLIC+EQUATIONS
9 GEVREY SPACES 82670 0% 58% 15 Search GEVREY+SPACES Search GEVREY+SPACES
10 GLOBAL SOLVABILITY 78944 1% 36% 23 Search GLOBAL+SOLVABILITY Search GLOBAL+SOLVABILITY

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 2



rank cluster_id2 link
1 3207 COLOMBEAU ALGEBRA//GENERALIZED FUNCTIONS//NEUTRIX LIMIT
2 1525 MATHEMATICS//HOLOMORPHIC FOLIATION//PLURISUBHARMONIC FUNCTION
3 2998 INFINITE DIMENSIONAL LIE GROUP//ALGEBRAIC QUANTUM FIELD THEORY//COMMUNICATIONS IN MATHEMATICAL PHYSICS
4 2586 JOURNAL OF SYMBOLIC LOGIC//LOGIC//O MINIMALITY
5 1222 GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR
6 1074 MATHEMATICS//ANAL MATEMAT//STUDIA MATHEMATICA
7 3463 HYPERCYCLIC OPERATORS//LINEABILITY//SPACEABILITY
8 2452 DUNKL TRANSFORM//DUNKL OPERATORS//DEFORMATION QUANTIZATION
9 1123 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE
10 1257 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS

Go to start page