Class information for:
Level 2: BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2891 2822 17.0 29%


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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
2891 2             BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY 2822
14226 1                   P EVOLUTION EQUATIONS//JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY//GEVREY WELL POSEDNESS 783
17494 1                   BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY 596
17525 1                   COMPLEX VECTOR FIELDS//NON COMMUTATIVE HARMONIC OSCILLATOR//HYPOELLIPTICITY 595
25100 1                   TRICOMI PROBLEM//MIXED TYPE EQUATION//PARABOLIC DEGENERACY 291
29966 1                   PEARCEY INTEGRAL//SPATIAL DIVISION TRANSMISSION//TWO RAY GROUND REFLECTION 177
31631 1                   SUPERLUMINAL RADIATION//TACHYONIC GAMMA RAYS//TACHYONIC CASCADE SPECTRA 150
32293 1                   AUTOCONVOLUTION EQUATIONS//OSTROVSKY EQUATION//OSTROVSKY HUNTER EQUATION 141
35928 1                   FIELD PARTICLES VELOCITY DISTRIBUTION//FOKKER PLANCK COEFFICIENTS//MODERATELY COUPLED PLASMA 89

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 BOREL SUMMABILITY authKW 201929 1% 67% 28
2 STOKES PHENOMENON authKW 135406 1% 48% 26
3 MULTISUMMABILITY authKW 135228 1% 83% 15
4 COMPLEX VECTOR FIELDS authKW 125881 1% 73% 16
5 AUTOCONVOLUTION EQUATIONS authKW 108186 0% 100% 10
6 NON COMMUTATIVE HARMONIC OSCILLATOR authKW 108186 0% 100% 10
7 STOKES MULTIPLIER authKW 107544 0% 76% 13
8 HYPOELLIPTICITY authKW 99797 1% 34% 27
9 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY journal 90653 4% 8% 100
10 ANALYTIC HYPOELLIPTICITY authKW 87629 0% 90% 9

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 72151 68% 0% 1930
2 Mathematics, Applied 16327 31% 0% 866
3 Physics, Mathematical 689 5% 0% 142
4 Multidisciplinary Sciences 590 3% 0% 76
5 Physics, Multidisciplinary 134 5% 0% 140
6 Physics, Fluids & Plasmas 91 2% 0% 55
7 Telecommunications 50 2% 0% 50
8 Optics 8 2% 0% 64
9 Mechanics 5 2% 0% 45
10 Automation & Control Systems 4 1% 0% 19

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 STERLITAMAK 27042 0% 50% 5
2 BU CAMPUS HILL 21637 0% 100% 2
3 STERLITAMAK STATE PEDAG 21637 0% 100% 2
4 UMR 8524 AGAT 21637 0% 100% 2
5 DIPARTIMENTO ELETTRON PLICATA 21617 0% 17% 12
6 ALGEBRA ANAL MATEMAT GEOMETRIA TOPOL 20799 0% 38% 5
7 ANAL MATEMAT DIDACT MATEMAT 16225 0% 50% 3
8 UFR 920 12610 0% 17% 7
9 ABT MATH V 10819 0% 100% 1
10 ALGEBRA ANALISIS MATEMAT GEOMETRIA TOPOL 10819 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 MATHEMATICS OF KYOTO UNIVERSITY 90653 4% 8% 100
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 68589 4% 5% 124
3 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 51089 3% 6% 77
4 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 25482 3% 3% 73
5 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 21885 1% 9% 23
6 JOURNAL OF DIFFERENTIAL EQUATIONS 19383 4% 2% 114
7 OSAKA JOURNAL OF MATHEMATICS 15746 2% 3% 52
8 DIFFERENTIAL EQUATIONS 14923 3% 2% 72
9 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 11772 0% 8% 13
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 10218 3% 1% 90

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 BOREL SUMMABILITY 201929 1% 67% 28 Search BOREL+SUMMABILITY Search BOREL+SUMMABILITY
2 STOKES PHENOMENON 135406 1% 48% 26 Search STOKES+PHENOMENON Search STOKES+PHENOMENON
3 MULTISUMMABILITY 135228 1% 83% 15 Search MULTISUMMABILITY Search MULTISUMMABILITY
4 COMPLEX VECTOR FIELDS 125881 1% 73% 16 Search COMPLEX+VECTOR+FIELDS Search COMPLEX+VECTOR+FIELDS
5 AUTOCONVOLUTION EQUATIONS 108186 0% 100% 10 Search AUTOCONVOLUTION+EQUATIONS Search AUTOCONVOLUTION+EQUATIONS
6 NON COMMUTATIVE HARMONIC OSCILLATOR 108186 0% 100% 10 Search NON+COMMUTATIVE+HARMONIC+OSCILLATOR Search NON+COMMUTATIVE+HARMONIC+OSCILLATOR
7 STOKES MULTIPLIER 107544 0% 76% 13 Search STOKES+MULTIPLIER Search STOKES+MULTIPLIER
8 HYPOELLIPTICITY 99797 1% 34% 27 Search HYPOELLIPTICITY Search HYPOELLIPTICITY
9 ANALYTIC HYPOELLIPTICITY 87629 0% 90% 9 Search ANALYTIC+HYPOELLIPTICITY Search ANALYTIC+HYPOELLIPTICITY
10 OSTROVSKY EQUATION 83910 1% 48% 16 Search OSTROVSKY+EQUATION Search OSTROVSKY+EQUATION

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 PETRONILHO, G , ZANI, SL , (2008) GLOBAL S-SOLVABILITY AND GLOBAL S-HYPOELLIPTICITY FOR CERTAIN PERTURBATIONS OF ZERO ORDER OF SYSTEMS OF CONSTANT REAL VECTOR FIELDS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 244. ISSUE 9. P. 2372-2403 34 100% 0
2 PETRONILHO, G , (2009) ON GEVREY SOLVABILITY AND REGULARITY.MATHEMATISCHE NACHRICHTEN. VOL. 282. ISSUE 3. P. 470-481 32 97% 3
3 BORGHI, R , (2011) EVALUATION OF CUSPOID AND UMBILIC DIFFRACTION CATASTROPHES OF CODIMENSION FOUR.JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION. VOL. 28. ISSUE 5. P. 887 -896 32 84% 1
4 PARMEGGIANI, A , (2014) NON-COMMUTATIVE HARMONIC OSCILLATORS AND RELATED PROBLEMS.MILAN JOURNAL OF MATHEMATICS. VOL. 82. ISSUE 2. P. 343 -387 24 89% 2
5 BORGHI, R , (2016) COMPUTATIONAL OPTICS THROUGH SEQUENCE TRANSFORMATIONS.PROGRESS IN OPTICS, VOL 61. VOL. 61. ISSUE . P. 1 -70 38 48% 1
6 LASTRA, A , MALEK, S , SANZ, J , (2015) SUMMABILITY IN GENERAL CARLEMAN ULTRAHOLOMORPHIC CLASSES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 430. ISSUE 2. P. 1175 -1206 23 85% 0
7 JIMENEZ-GARRIDO, J , SANZ, J , (2016) STRONGLY REGULAR SEQUENCES AND PROXIMATE ORDERS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 438. ISSUE 2. P. 920 -945 23 82% 0
8 HIMONAS, AA , PETRONILHO, G , DOS SANTOS, LAC , (2012) GLOBAL ANALYTIC, GEVREY AND C8 HYPOELLIPTICITY ON THE 3-TORUS.MATHEMATISCHE NACHRICHTEN. VOL. 285. ISSUE 2-3. P. 265 -282 21 95% 0
9 HIMONAS, AA , PETRONILHO, G , DOS SANTOS, LAC , (2006) REGULARITY OF A CLASS OF SUBLAPLACIANS ON THE 3-DIMENSIONAL TORUS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 240. ISSUE 2. P. 568-591 24 96% 3
10 ASCANELLI, A , BOITI, C , (2016) SEMILINEAR P-EVOLUTION EQUATIONS IN SOBOLEV SPACES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 10. P. 7563 -7605 19 95% 0

Classes with closest relation at Level 2


Rank Class id link
1 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
2 1160 STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP
3 4023 SUBNORMS//HYPERGROUPS//CONVENIENT SETTING
4 3334 NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS
5 1111 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR
6 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
7 3698 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS//CHAIR QUANTUM STAT FIELD THEORY//BOSE EINSTEIN DISTRIBUTION
8 3369 P ADIC NUMBERS//GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION
9 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
10 1918 HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA

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