Class information for:
Level 1: APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23249 353 20.6 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
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
831 2             FINITE GROUP//JOURNAL OF ALGEBRA//MATHEMATICS 11829
23249 1                   APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE 353

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 APOLLONIAN PACKING authKW 615122 2% 89% 8
2 AXIAL FUNCTIONS authKW 173004 1% 100% 2
3 BABAIS CONJECTURE authKW 173004 1% 100% 2
4 BROCARD POINTS authKW 173004 1% 100% 2
5 DWORK HYPERSURFACE authKW 173004 1% 100% 2
6 LARGE ABELIAN SUBGROUP authKW 173004 1% 100% 2
7 PHYSICAL FRACTAL authKW 173004 1% 100% 2
8 POTENTIAL AUTOMORPHY authKW 173004 1% 100% 2
9 APOLLONIAN CIRCLES authKW 155701 1% 60% 3
10 APOLLONIAN authKW 115334 1% 67% 2

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 12497 80% 0% 283
2 Mathematics, Applied 439 15% 0% 53
3 Physics, Mathematical 172 7% 0% 24
4 Computer Science, Theory & Methods 105 5% 0% 19
5 Physics, Fluids & Plasmas 39 3% 0% 11
6 Statistics & Probability 24 3% 0% 9
7 Logic 20 1% 0% 2
8 Physics, Multidisciplinary 12 5% 0% 16
9 Mathematics, Interdisciplinary Applications 6 1% 0% 5
10 Computer Science, Software Engineering 5 1% 0% 5

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 HBEREICH INFORMAT KRYPTOG COMP 86502 0% 100% 1
2 POOL GRP 1 86502 0% 100% 1
3 DMATH 49427 1% 29% 2
4 MATH PH D PROGRAM 28833 0% 33% 1
5 SCI ENGN OFF MC 249 28833 0% 33% 1
6 ALGEBRA NUMER THEORY 21624 0% 25% 1
7 ANAL STOCHAST GRP 17688 1% 7% 3
8 INTERDISCIPLINARY PROJECT SUPERCOMP 17299 0% 20% 1
9 HIF E12 17297 1% 10% 2
10 COMPUTAT ALGEBRA GRP 14415 0% 17% 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 THE EUROPEAN MATHEMATICAL SOCIETY 12701 3% 1% 10
2 GEOMETRIC AND FUNCTIONAL ANALYSIS 9975 3% 1% 11
3 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 7950 2% 1% 8
4 AMERICAN MATHEMATICAL MONTHLY 4595 3% 0% 12
5 JOURNAL OF GROUP THEORY 3467 2% 1% 6
6 ANNALS OF MATHEMATICS 3155 2% 0% 8
7 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2879 3% 0% 10
8 ISRAEL JOURNAL OF MATHEMATICS 2776 3% 0% 11
9 GROUPS GEOMETRY AND DYNAMICS 2360 1% 1% 3
10 BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY 2153 1% 1% 5

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 APOLLONIAN PACKING 615122 2% 89% 8 Search APOLLONIAN+PACKING Search APOLLONIAN+PACKING
2 AXIAL FUNCTIONS 173004 1% 100% 2 Search AXIAL+FUNCTIONS Search AXIAL+FUNCTIONS
3 BABAIS CONJECTURE 173004 1% 100% 2 Search BABAIS+CONJECTURE Search BABAIS+CONJECTURE
4 BROCARD POINTS 173004 1% 100% 2 Search BROCARD+POINTS Search BROCARD+POINTS
5 DWORK HYPERSURFACE 173004 1% 100% 2 Search DWORK+HYPERSURFACE Search DWORK+HYPERSURFACE
6 LARGE ABELIAN SUBGROUP 173004 1% 100% 2 Search LARGE+ABELIAN+SUBGROUP Search LARGE+ABELIAN+SUBGROUP
7 PHYSICAL FRACTAL 173004 1% 100% 2 Search PHYSICAL+FRACTAL Search PHYSICAL+FRACTAL
8 POTENTIAL AUTOMORPHY 173004 1% 100% 2 Search POTENTIAL+AUTOMORPHY Search POTENTIAL+AUTOMORPHY
9 APOLLONIAN CIRCLES 155701 1% 60% 3 Search APOLLONIAN+CIRCLES Search APOLLONIAN+CIRCLES
10 APOLLONIAN 115334 1% 67% 2 Search APOLLONIAN Search APOLLONIAN

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 HELFGOTT, HA , (2015) GROWTH IN GROUPS: IDEAS AND PERSPECTIVES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 3. P. 357 -413 49 54% 0
2 KONTOROVICH, A , (2013) FROM APOLLONIUS TO ZAREMBA: LOCAL-GLOBAL PHENOMENA IN THIN ORBITS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 50. ISSUE 2. P. 187-228 30 70% 3
3 VARJU, PP , (2013) RANDOM WALKS IN COMPACT GROUPS.DOCUMENTA MATHEMATICA. VOL. 18. ISSUE . P. 1137-1175 22 85% 2
4 FUCHS, E , (2013) COUNTING PROBLEMS IN APOLLONIAN PACKINGS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 50. ISSUE 2. P. 229 -266 22 79% 4
5 BOURGAIN, J , KONTOROVICH, A , (2014) ON THE LOCAL-GLOBAL CONJECTURE FOR INTEGRAL APOLLONIAN GASKETS WITH AN APPENDIX BY PETER P. VARJU.INVENTIONES MATHEMATICAE. VOL. 196. ISSUE 3. P. 589 -650 21 72% 4
6 PYBER, L , SZABO, E , (2016) GROWTH IN FINITE SIMPLE GROUPS OF LIE TYPE.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 29. ISSUE 1. P. 95 -146 21 66% 1
7 BREUILLARD, E , GREEN, B , GURALNICK, R , TAO, T , (2015) EXPANSION IN FINITE SIMPLE GROUPS OF LIE TYPE.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 6. P. 1367 -1434 24 62% 1
8 OH, H , (2014) APOLLONIAN CIRCLE PACKINGS: DYNAMICS AND NUMBER THEORY.JAPANESE JOURNAL OF MATHEMATICS. VOL. 9. ISSUE 1. P. 69-97 21 62% 1
9 GOLSEFIDY, AS , VARJU, PP , (2012) EXPANSION IN PERFECT GROUPS.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 22. ISSUE 6. P. 1832-1891 22 58% 14
10 LUBOTZKY, A , (2012) EXPANDER GRAPHS IN PURE AND APPLIED MATHEMATICS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 49. ISSUE 1. P. 113 -162 32 34% 25

Classes with closest relation at Level 1


Rank Class id link
1 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
2 21354 WORD MAPS//VERBAL WIDTH//VERBAL SUBGROUP
3 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES
4 18288 SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS
5 9779 SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS
6 20051 SUBGROUP GROWTH//SURFACE BRANCHED COVERING//HURWITZ PROBLEM
7 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
8 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
9 34538 ORTHOCENTRIC SIMPLEX//MASS POINT SYSTEM//RECTANGULAR SIMPLEX
10 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS

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