Class information for:
Level 1: HOLOMORPHIC FOLIATION//ANALYTIC CLASSIFICATION//LOTKA VOLTERRA DERIVATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13113 859 15.5 33%


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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
507 2             MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE 15257
13113 1                   HOLOMORPHIC FOLIATION//ANALYTIC CLASSIFICATION//LOTKA VOLTERRA DERIVATION 859

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 HOLOMORPHIC FOLIATION authKW 1960403 10% 65% 85
2 ANALYTIC CLASSIFICATION authKW 301089 1% 71% 12
3 LOTKA VOLTERRA DERIVATION authKW 284369 1% 100% 8
4 REDUCTION OF SINGULARITIES authKW 252771 1% 89% 8
5 DICRITICAL SINGULARITIES authKW 177731 1% 100% 5
6 POLYNOMIAL CONSTANT authKW 177731 1% 100% 5
7 ALGEBRAIC FOLIATIONS authKW 142184 0% 100% 4
8 FACTORIZABLE DERIVATION authKW 142184 0% 100% 4
9 HOLOMORPHIC FLOW authKW 142184 0% 100% 4
10 HOLOMORPHIC MAPS TANGENT TO THE IDENTITY authKW 142184 0% 100% 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 Mathematics 42457 94% 0% 811
2 Mathematics, Applied 2344 22% 0% 185
3 Automation & Control Systems 30 2% 0% 14
4 Physics, Mathematical 1 1% 0% 9
5 Multidisciplinary Sciences -0 0% 0% 2
6 Computer Science, Theory & Methods -0 1% 0% 5
7 Mathematical & Computational Biology -1 0% 0% 1
8 Computer Science, Interdisciplinary Applications -3 0% 0% 2
9 Computer Science, Software Engineering -3 0% 0% 1
10 Mechanics -5 0% 0% 3

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 DMS CRM 71092 0% 100% 2
2 UMS CNRS 658 MEDICIS 71092 0% 100% 2
3 CNRS UMI 3483 47393 0% 67% 2
4 UMR 5584 35622 2% 6% 18
5 ALGEBRA AN MAT GEOM TOP 35546 0% 100% 1
6 ALGEBRA GEOMETRI TOPOL 35546 0% 100% 1
7 ANR SYMPLEXE 35546 0% 100% 1
8 BLAN 06 3 137237 35546 0% 100% 1
9 CIANCIA COMPUTACAO 35546 0% 100% 1
10 DPTO ANAL MATEMAT ALGEBRA GEOMETRIA TOPOL 35546 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 BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 53711 3% 6% 27
2 ANNALES DE L INSTITUT FOURIER 39289 6% 2% 49
3 MOSCOW MATHEMATICAL JOURNAL 33474 3% 4% 23
4 PUBLICACIONS MATEMATIQUES 31110 2% 5% 19
5 BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA 29509 1% 12% 7
6 ASTERISQUE 21030 3% 2% 30
7 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 16251 2% 3% 14
8 ERGODIC THEORY AND DYNAMICAL SYSTEMS 7796 3% 1% 23
9 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 7521 2% 2% 14
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 7355 5% 0% 42

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 HOLOMORPHIC FOLIATION 1960403 10% 65% 85 Search HOLOMORPHIC+FOLIATION Search HOLOMORPHIC+FOLIATION
2 ANALYTIC CLASSIFICATION 301089 1% 71% 12 Search ANALYTIC+CLASSIFICATION Search ANALYTIC+CLASSIFICATION
3 LOTKA VOLTERRA DERIVATION 284369 1% 100% 8 Search LOTKA+VOLTERRA+DERIVATION Search LOTKA+VOLTERRA+DERIVATION
4 REDUCTION OF SINGULARITIES 252771 1% 89% 8 Search REDUCTION+OF+SINGULARITIES Search REDUCTION+OF+SINGULARITIES
5 DICRITICAL SINGULARITIES 177731 1% 100% 5 Search DICRITICAL+SINGULARITIES Search DICRITICAL+SINGULARITIES
6 POLYNOMIAL CONSTANT 177731 1% 100% 5 Search POLYNOMIAL+CONSTANT Search POLYNOMIAL+CONSTANT
7 ALGEBRAIC FOLIATIONS 142184 0% 100% 4 Search ALGEBRAIC+FOLIATIONS Search ALGEBRAIC+FOLIATIONS
8 FACTORIZABLE DERIVATION 142184 0% 100% 4 Search FACTORIZABLE+DERIVATION Search FACTORIZABLE+DERIVATION
9 HOLOMORPHIC FLOW 142184 0% 100% 4 Search HOLOMORPHIC+FLOW Search HOLOMORPHIC+FLOW
10 HOLOMORPHIC MAPS TANGENT TO THE IDENTITY 142184 0% 100% 4 Search HOLOMORPHIC+MAPS+TANGENT+TO+THE+IDENTITY Search HOLOMORPHIC+MAPS+TANGENT+TO+THE+IDENTITY

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 ABATE, M , (2010) DISCRETE HOLOMORPHIC LOCAL DYNAMICAL SYSTEMS.HOLOMORPHIC DYNAMICAL SYSTEMS. VOL. 1998. ISSUE . P. 1 -55 36 71% 17
2 ABATE, M , (2011) OPEN PROBLEMS IN LOCAL DISCRETE HOLOMORPHIC DYNAMICS.ANALYSIS AND MATHEMATICAL PHYSICS. VOL. 1. ISSUE 4. P. 261-287 27 77% 3
3 RONG, F , (2015) NEW INVARIANTS AND ATTRACTING DOMAINS FOR HOLOMORPHIC MAPS IN C-2 TANGENT TO THE IDENTITY.PUBLICACIONS MATEMATIQUES. VOL. 59. ISSUE 1. P. 235 -243 18 100% 1
4 CERVEAU, D , (2013) SOME PROBLEMS WITH FOLIATION GEOMETRY FOR THE 60 YEARS OF IMPA.BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY. VOL. 44. ISSUE 4. P. 653-679 21 84% 2
5 COUTINHO, SC , (2013) ON SOME FOLIATIONS ARISING IN -MODULE THEORY.GEOMETRIAE DEDICATA. VOL. 164. ISSUE 1. P. 27-45 18 95% 0
6 FERNANDEZ-SANCHEZ, P , MOZO-FERNANDEZ, J , NECIOSUP, H , (2014) ON CODIMENSION ONE FOLIATIONS WITH PRESCRIBED CUSPIDAL SEPARATRIX.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 256. ISSUE 4. P. 1702-1717 18 90% 0
7 BRACCI, F , RONG, F , (2014) DYNAMICS OF QUASI-PARABOLIC ONE-RESONANT BIHOLOMORPHISMS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 24. ISSUE 3. P. 1497 -1508 16 100% 1
8 CERVEAU, D , NETO, AL , RAVARA-VAGO, M , (2016) HOLOMORPHIC FOLIATION OF CODIMENSION 1: A LOCAL STUDY IN THE DIACRITICAL CASE.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 49. ISSUE 1. P. 213 -247 15 94% 0
9 BRACCI, F , (2004) LOCAL DYNAMICS OF HOLOMORPHIC DIFFEOMORPHISMS.BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. VOL. 7B. ISSUE 3. P. 609-636 20 91% 22
10 BRACCI, F , ZAITSEV, D , (2013) DYNAMICS OF ONE-RESONANT BIHOLOMORPHISMS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 15. ISSUE 1. P. 179-200 16 89% 6

Classes with closest relation at Level 1


Rank Class id link
1 15691 STEIN SPACE//STEIN MANIFOLD//OKA MANIFOLD
2 16067 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
3 27516 HOPF MANIFOLDS//GLOBAL RESOLUTIONS//SPIN7 INSTANTON
4 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
5 19703 NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION
6 37240 VALUATION FILTRATION//COMPLETION OF FILTERED MODULE//FILTERED AND GRADED REDUCTORS
7 2324 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
8 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
9 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
10 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION

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