Class information for:
Level 1: JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8657 1231 19.5 39%


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
664 3       MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS 10322
2775 2             JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS 3137
8657 1                   JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS 1231

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 JULIA SET authKW 2644344 16% 54% 197
2 FATOU SET authKW 702266 3% 75% 38
3 HOLOMORPHIC DYNAMICS authKW 409630 3% 52% 32
4 COMPLEX DYNAMICS authKW 333279 5% 22% 62
5 RATIONAL SEMIGROUPS authKW 322448 1% 100% 13
6 WANDERING DOMAIN authKW 285967 1% 82% 14
7 BAKER DOMAIN authKW 223233 1% 100% 9
8 FATOU COMPONENTS authKW 206694 1% 83% 10
9 RANDOM COMPLEX DYNAMICS authKW 198430 1% 100% 8
10 SIERPINSKI CURVE authKW 174648 1% 54% 13

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 51308 87% 0% 1069
2 Mathematics, Applied 9478 35% 0% 433
3 Physics, Mathematical 454 6% 0% 74
4 Mathematics, Interdisciplinary Applications 271 4% 0% 47
5 Multidisciplinary Sciences 9 1% 0% 9
6 Social Sciences, Mathematical Methods -0 0% 0% 1
7 Computer Science, Theory & Methods -1 0% 0% 6
8 Computer Science, Software Engineering -2 0% 0% 3
9 Forestry -2 0% 0% 1
10 Statistics & Probability -4 0% 0% 2

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 MATH SEMINAR 76103 3% 7% 43
2 FC FIS MATEMAT 49607 0% 100% 2
3 MAT LICADA ANAL 49607 0% 100% 2
4 DEP ENG INFORMAT MATEMAT 33070 0% 67% 2
5 EMILE PICARD 28873 1% 7% 17
6 MATEMAT LICADA ANAL 25831 2% 5% 22
7 DEP MAT L ANALISI 24804 0% 100% 1
8 FC FISICOMATEMAT 24804 0% 100% 1
9 HUGHES AIRCRAFT ELECT ENGN 24804 0% 100% 1
10 MATEMAT CCE 24804 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 ERGODIC THEORY AND DYNAMICAL SYSTEMS 158807 10% 5% 124
2 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 38350 3% 4% 41
3 FUNDAMENTA MATHEMATICAE 29425 4% 2% 48
4 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 14260 2% 2% 30
5 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 9391 3% 1% 37
6 NONLINEARITY 8774 3% 1% 34
7 JOURNAL D ANALYSE MATHEMATIQUE 8412 2% 2% 20
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 8054 3% 1% 33
9 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 7909 3% 1% 32
10 ACTA MATHEMATICA 7884 1% 2% 13

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 JULIA SET 2644344 16% 54% 197 Search JULIA+SET Search JULIA+SET
2 FATOU SET 702266 3% 75% 38 Search FATOU+SET Search FATOU+SET
3 HOLOMORPHIC DYNAMICS 409630 3% 52% 32 Search HOLOMORPHIC+DYNAMICS Search HOLOMORPHIC+DYNAMICS
4 COMPLEX DYNAMICS 333279 5% 22% 62 Search COMPLEX+DYNAMICS Search COMPLEX+DYNAMICS
5 RATIONAL SEMIGROUPS 322448 1% 100% 13 Search RATIONAL+SEMIGROUPS Search RATIONAL+SEMIGROUPS
6 WANDERING DOMAIN 285967 1% 82% 14 Search WANDERING+DOMAIN Search WANDERING+DOMAIN
7 BAKER DOMAIN 223233 1% 100% 9 Search BAKER+DOMAIN Search BAKER+DOMAIN
8 FATOU COMPONENTS 206694 1% 83% 10 Search FATOU+COMPONENTS Search FATOU+COMPONENTS
9 RANDOM COMPLEX DYNAMICS 198430 1% 100% 8 Search RANDOM+COMPLEX+DYNAMICS Search RANDOM+COMPLEX+DYNAMICS
10 SIERPINSKI CURVE 174648 1% 54% 13 Search SIERPINSKI+CURVE Search SIERPINSKI+CURVE

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 SCHLEICHER, D , (2010) DYNAMICS OF ENTIRE FUNCTIONS.HOLOMORPHIC DYNAMICAL SYSTEMS. VOL. 1998. ISSUE . P. 295 -339 64 96% 6
2 OSBORNE, JW , SIXSMITH, DJ , (2016) ON THE SET WHERE THE ITERATES OF AN ENTIRE FUNCTION ARE NEITHER ESCAPING NOR BOUNDED.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 41. ISSUE 2. P. 561 -578 30 100% 1
3 REES, M , (2016) ONE HUNDRED YEARS OF COMPLEX DYNAMICS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 472. ISSUE 2185. P. - 50 60% 0
4 RIPPON, PJ , STALLARD, GM , (2012) FAST ESCAPING POINTS OF ENTIRE FUNCTIONS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 105. ISSUE . P. 787-820 29 94% 21
5 BERGWEILER, W , (2010) ITERATION OF QUASIREGULAR MAPPINGS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 10. ISSUE 2. P. 455-481 33 85% 9
6 BARANSKI, K , FAGELLA, N , JARQUE, X , KARPINSKA, B , (2014) ON THE CONNECTIVITY OF THE JULIA SETS OF MEROMORPHIC FUNCTIONS.INVENTIONES MATHEMATICAE. VOL. 198. ISSUE 3. P. 591 -636 26 96% 2
7 BERGWEILER, W , RIPPON, PJ , STALLARD, GM , (2013) MULTIPLY CONNECTED WANDERING DOMAINS OF ENTIRE FUNCTIONS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 107. ISSUE . P. 1261-1301 28 90% 4
8 BLOKH, A , CHILDERS, D , LEVIN, G , OVERSTEEGEN, L , SCHLEICHER, D , (2016) AN EXTENDED FATOU-SHISHIKURA INEQUALITY AND WANDERING BRANCH CONTINUA FOR POLYNOMIALS.ADVANCES IN MATHEMATICS. VOL. 288. ISSUE . P. 1121 -1174 25 96% 0
9 SUMI, H , (2016) THE SPACE OF 2-GENERATOR POSTCRITICALLY BOUNDED POLYNOMIAL SEMIGROUPS AND RANDOM COMPLEX DYNAMICS.ADVANCES IN MATHEMATICS. VOL. 290. ISSUE . P. 809 -859 24 96% 0
10 BERGWEILER, W , PETER, J , (2013) ESCAPE RATE AND HAUSDORFF MEASURE FOR ENTIRE FUNCTIONS.MATHEMATISCHE ZEITSCHRIFT. VOL. 274. ISSUE 1-2. P. 551-572 24 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 20772 MANDELBROT SET//GENERALIZED M J SETS//GRADIENT CONTROL
2 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS
3 16067 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
4 17783 TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE
5 5126 MEROMORPHIC FUNCTION//NORMAL FAMILY//NEVANLINNA THEORY
6 16741 SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS
7 8275 CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS
8 34143 ABELFUNCTION//INFRA LOGARITHM FUNCTIONS//ULTRA EXPONENTIAL FUNCTIONAL EQUATION
9 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS
10 23995 ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP

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