Class information for:
Level 1: ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4357 1799 17.4 38%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
376 2             JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 17147
4357 1                   ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA 1799

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 ARITHMETIC DYNAMICS authKW 461994 2% 78% 35
2 ANDRE OORT CONJECTURE authKW 137470 1% 90% 9
3 ACTA ARITHMETICA journal 135047 9% 5% 160
4 CANONICAL HEIGHT authKW 133169 1% 41% 19
5 PREPERIODIC POINTS authKW 124971 1% 82% 9
6 ELLIPTIC DIVISIBILITY SEQUENCE authKW 106066 1% 63% 10
7 ARAKELOV THEORY authKW 102423 1% 46% 13
8 NON ARCHIMEDEAN DYNAMICS authKW 101831 0% 100% 6
9 MATHEMATICS WoSSC 93731 97% 0% 1743
10 SUBSPACE THEOREM authKW 89275 1% 48% 11

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 93731 97% 0% 1743
2 Mathematics, Applied 723 9% 0% 165
3 Logic 11 0% 0% 4
4 Multidisciplinary Sciences 5 1% 0% 10
5 Statistics & Probability 4 1% 0% 17
6 Physics, Mathematical -0 1% 0% 11
7 Philosophy -1 0% 0% 2
8 Mathematics, Interdisciplinary Applications -7 0% 0% 1
9 Computer Science, Software Engineering -7 0% 0% 1
10 Computer Science, Theory & Methods -8 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 NUMBER THEORY GRP 44330 1% 19% 14
2 UMR 7586UFR 921 33944 0% 100% 2
3 ANAL COMPUTAT NUMBER THEORY 27480 1% 18% 9
4 UMR 5582 25150 1% 6% 24
5 EQUIPE THEORIE NOMB 21207 0% 25% 5
6 PROJET THEORIE NOMB 19090 0% 38% 3
7 MATH 19063 39% 0% 694
8 UMR 7586 18469 1% 5% 24
9 PHD PROGRAM MATH 18469 0% 16% 7
10 MATH NICOLAS O ME 17096 1% 7% 15

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 ACTA ARITHMETICA 135047 9% 5% 160
2 JOURNAL OF NUMBER THEORY 73769 8% 3% 143
3 COMPOSITIO MATHEMATICA 47718 5% 3% 83
4 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 31584 5% 2% 82
5 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 25783 1% 8% 18
6 INVENTIONES MATHEMATICAE 17545 3% 2% 57
7 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 15873 3% 2% 53
8 BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE 15843 2% 3% 28
9 MONATSHEFTE FUR MATHEMATIK 13807 2% 2% 43
10 ASTERISQUE 13637 2% 2% 35

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 ARITHMETIC DYNAMICS 461994 2% 78% 35 Search ARITHMETIC+DYNAMICS Search ARITHMETIC+DYNAMICS
2 ANDRE OORT CONJECTURE 137470 1% 90% 9 Search ANDRE+OORT+CONJECTURE Search ANDRE+OORT+CONJECTURE
3 CANONICAL HEIGHT 133169 1% 41% 19 Search CANONICAL+HEIGHT Search CANONICAL+HEIGHT
4 PREPERIODIC POINTS 124971 1% 82% 9 Search PREPERIODIC+POINTS Search PREPERIODIC+POINTS
5 ELLIPTIC DIVISIBILITY SEQUENCE 106066 1% 63% 10 Search ELLIPTIC+DIVISIBILITY+SEQUENCE Search ELLIPTIC+DIVISIBILITY+SEQUENCE
6 ARAKELOV THEORY 102423 1% 46% 13 Search ARAKELOV+THEORY Search ARAKELOV+THEORY
7 NON ARCHIMEDEAN DYNAMICS 101831 0% 100% 6 Search NON+ARCHIMEDEAN+DYNAMICS Search NON+ARCHIMEDEAN+DYNAMICS
8 SUBSPACE THEOREM 89275 1% 48% 11 Search SUBSPACE+THEOREM Search SUBSPACE+THEOREM
9 MORDELL LANG CONJECTURE 87282 0% 86% 6 Search MORDELL+LANG+CONJECTURE Search MORDELL+LANG+CONJECTURE
10 ZILBER PINK CONJECTURE 84859 0% 100% 5 Search ZILBER+PINK+CONJECTURE Search ZILBER+PINK+CONJECTURE

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 CHAMBERT-LOIR, A , (2012) DEPENDENCY RELATIONS AND EXCEPTIONAL INTERSECTIONS.ASTERISQUE. VOL. . ISSUE 348. P. 149-188 47 87% 1
2 ANASHIN, VS , (2009) NONCOMMUTATIVE ALGEBRAIC DYNAMICS: ERGODIC THEORY FOR PROFINITE GROUPS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 265. ISSUE 1. P. 30 -58 50 72% 0
3 OSTAFE, A , (2016) ON SOME EXTENSIONS OF THE AILON-RUDNICK THEOREM.MONATSHEFTE FUR MATHEMATIK. VOL. 181. ISSUE 2. P. 451 -471 28 97% 0
4 GHIOCA, D , HSIA, LC , TUCKER, TJ , (2016) UNLIKELY INTERSECTION FOR TWO-PARAMETER FAMILIES OF POLYNOMIALS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 24. P. 7589 -7618 27 100% 0
5 CHECCOLI, S , VENEZIANO, F , VIADA, E , (2014) ON TORSION ANOMALOUS INTERSECTIONS.RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI. VOL. 25. ISSUE 1. P. 1 -36 26 100% 1
6 LITCANU, R , (2007) SMALL POINTS AND BOGOMOLOV CONJECTURE.EXPOSITIONES MATHEMATICAE. VOL. 25. ISSUE 1. P. 37 -51 29 100% 0
7 MAURIN, G , (2011) MULTIPLICATIVE EQUATIONS ON TORUS SUBVARIETIES.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 23. P. 5259 -5366 25 100% 3
8 HABEGGER, P , PILA, J , (2016) O-MINIMALITY AND CERTAIN ATYPICAL INTERSECTIONS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 49. ISSUE 4. P. 813 -858 26 81% 0
9 GAUDRON, E , (2014) SIMULTANEOUS LOWER BOUNDS FOR LINEAR FORMS IN LOGARITHMS OF ALGEBRAIC NUMBERS.BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE. VOL. 142. ISSUE 1. P. 1 -62 21 100% 1
10 GAUDRON, E , REMOND, G , (2014) THEOREM OF THE PERIODS AND MINIMUM DEGREES OF ISOGENIES.COMMENTARII MATHEMATICI HELVETICI. VOL. 89. ISSUE 2. P. 343 -403 24 83% 5

Classes with closest relation at Level 1


Rank Class id link
1 19216 MEROMORPHIC MAPPING//SECOND MAIN THEOREM//TRUNCATED MULTIPLICITY
2 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
3 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
4 5025 EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS
5 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
6 16946 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
7 14479 MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE
8 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
9 25185 HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM
10 16067 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS

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