Class information for:
Level 1: MULTISUMMABILITY//BOREL SUMMABILITY//GEVREY ESTIMATES

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
17611 1                   MULTISUMMABILITY//BOREL SUMMABILITY//GEVREY ESTIMATES 618

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MULTISUMMABILITY authKW 917943 3% 100% 18
2 BOREL SUMMABILITY authKW 864554 4% 63% 27
3 GEVREY ESTIMATES authKW 362642 1% 89% 8
4 SINGULAR PARTIAL DIFFERENTIAL EQUATIONS authKW 271978 1% 67% 8
5 GEVREY ORDER authKW 262268 1% 86% 6
6 FORMAL SOLUTION authKW 244113 2% 32% 15
7 BOREL LAPLACE TRANSFORM authKW 227163 1% 64% 7
8 DIVERGENT POWER SERIES authKW 203987 1% 100% 4
9 FORMAL POWER SERIES SOLUTIONS authKW 203987 1% 100% 4
10 PROPAGATION OF THE SINGULARITIES authKW 203987 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 23464 83% 0% 514
2 Mathematics, Applied 4035 33% 0% 201
3 Automation & Control Systems 114 3% 0% 20
4 Multidisciplinary Sciences 99 2% 0% 15
5 Physics, Mathematical 23 2% 0% 15
6 Computer Science, Software Engineering 1 1% 0% 5
7 Computer Science, Interdisciplinary Applications -0 1% 0% 4
8 Statistics & Probability -1 0% 0% 2
9 Crystallography -1 0% 0% 2
10 Physics, Multidisciplinary -1 1% 0% 8

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ALGEBRA ANAL MATEMAT GEOMETRIA TOPOL 91059 1% 36% 5
2 ABT MATH V 50997 0% 100% 1
3 DPT MATEMAT LICADA FUNDAMENTAL 50997 0% 100% 1
4 ENGINEER DESIGN 50997 0% 100% 1
5 EQUIPE EMILE PICARDUFR MIG 50997 0% 100% 1
6 EQUIPE MODELISATFSTM 50997 0% 100% 1
7 FSTD 50997 0% 100% 1
8 INFORMAT COMMUN SCI MATH 50997 0% 100% 1
9 MTH EMILE PICARD 50997 0% 100% 1
10 P PAINLEVE CNRS UMR 8524 50997 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 52012 6% 3% 36
2 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 43736 3% 4% 20
3 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 36993 2% 5% 14
4 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 17581 5% 1% 28
5 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 13894 4% 1% 22
6 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 12955 3% 1% 19
7 ANNALES DE L INSTITUT FOURIER 10327 3% 1% 21
8 JOURNAL OF DIFFERENTIAL EQUATIONS 9884 6% 1% 38
9 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 9596 2% 1% 15
10 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 5282 3% 1% 16

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MULTISUMMABILITY 917943 3% 100% 18 Search MULTISUMMABILITY Search MULTISUMMABILITY
2 BOREL SUMMABILITY 864554 4% 63% 27 Search BOREL+SUMMABILITY Search BOREL+SUMMABILITY
3 GEVREY ESTIMATES 362642 1% 89% 8 Search GEVREY+ESTIMATES Search GEVREY+ESTIMATES
4 SINGULAR PARTIAL DIFFERENTIAL EQUATIONS 271978 1% 67% 8 Search SINGULAR+PARTIAL+DIFFERENTIAL+EQUATIONS Search SINGULAR+PARTIAL+DIFFERENTIAL+EQUATIONS
5 GEVREY ORDER 262268 1% 86% 6 Search GEVREY+ORDER Search GEVREY+ORDER
6 FORMAL SOLUTION 244113 2% 32% 15 Search FORMAL+SOLUTION Search FORMAL+SOLUTION
7 BOREL LAPLACE TRANSFORM 227163 1% 64% 7 Search BOREL+LAPLACE+TRANSFORM Search BOREL+LAPLACE+TRANSFORM
8 DIVERGENT POWER SERIES 203987 1% 100% 4 Search DIVERGENT+POWER+SERIES Search DIVERGENT+POWER+SERIES
9 FORMAL POWER SERIES SOLUTIONS 203987 1% 100% 4 Search FORMAL+POWER+SERIES+SOLUTIONS Search FORMAL+POWER+SERIES+SOLUTIONS
10 PROPAGATION OF THE SINGULARITIES 203987 1% 100% 4 Search PROPAGATION+OF+THE+SINGULARITIES Search PROPAGATION+OF+THE+SINGULARITIES

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 21885 HYPERASYMPTOTICS//STOKES MULTIPLIER//EXACT WKB ANALYSIS
2 15760 KIRCHHOFF EQUATION//P EVOLUTION EQUATIONS//GEVREY WELL POSEDNESS
3 35049 CLAMPED PLATE EQUATION//KHAVINSON SHAPIRO CONJECTURE//FISCHER OPERATOR
4 20719 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
5 20368 D MODULES//IND SHEAVES//HOMOGENEOUS SECTIONS
6 34477 CONFLUENT HEUN EQUATION//ANTIQUANTIZATION//INTEGRABLE POTENTIALS
7 6639 PAINLEVE EQUATIONS//GMPIB//DISCRETE PAINLEVE EQUATIONS
8 17282 CANARDS//MIXED MODE OSCILLATIONS//SLOW FAST SYSTEM
9 15300 NON INTEGRABILITY//DIFFERENTIAL GALOIS THEORY//MORALES RAMIS THEORY
10 11288 ULTRADIFFERENTIABLE FUNCTIONS//PROJECTIVE DESCRIPTION//SPACE OF REAL ANALYTIC FUNCTIONS

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