Class information for:
Level 2: JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2775 3137 21.9 45%


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
15331 1                   FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING 718
15854 1                   FRACTAL DIMENSION//LACUNARITY//FRACTAL ANALYSIS 688
20772 1                   MANDELBROT SET//GENERALIZED M J SETS//GRADIENT CONTROL 446
37557 1                   CRITICAL EXPONENT METHOD//PHONEME ATTRACTOR//RECONSTRUCTED PHASE SPACES RPSS 54

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 1565634 8% 66% 242
2 MANDELBROT SET authKW 498711 2% 78% 66
3 FRACTAL INTERPOLATION FUNCTIONS authKW 474819 2% 89% 55
4 FRACTAL IMAGE COMPRESSION authKW 407674 2% 87% 48
5 FRACTAL IMAGE CODING authKW 359880 1% 86% 43
6 ITERATED FUNCTION SYSTEM authKW 282675 4% 25% 117
7 FATOU SET authKW 275532 1% 75% 38
8 FRACTAL INTERPOLATION authKW 173112 1% 68% 26
9 FRACTAL CODING authKW 166061 1% 74% 23
10 HOLOMORPHIC DYNAMICS authKW 160705 1% 52% 32

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 25349 39% 0% 1230
2 Mathematics, Applied 10703 24% 0% 750
3 Mathematics, Interdisciplinary Applications 6534 11% 0% 336
4 Computer Science, Software Engineering 3466 8% 0% 254
5 Physics, Mathematical 2621 9% 0% 272
6 Computer Science, Artificial Intelligence 784 5% 0% 148
7 Physics, Multidisciplinary 579 8% 0% 248
8 Engineering, Electrical & Electronic 317 9% 0% 268
9 Microscopy 269 1% 0% 35
10 Computer Science, Information Systems 157 2% 0% 77

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 POLITECN SUPER INGN 35670 0% 33% 11
2 MATH SEMINAR 29812 1% 7% 43
3 POLITECN SUPER INGENIEROS 29190 0% 50% 6
4 H POINCARE GRP COMPLEX SYST 21896 0% 75% 3
5 FC FIS MATEMAT 19464 0% 100% 2
6 GALGOTIA ENG TECHNOL 19464 0% 100% 2
7 INFORMAT TELECOMMUN TELECOMMUN SIGNAL PR 19464 0% 100% 2
8 KCS BIOPHYS 19464 0% 100% 2
9 MAT LICADA ANAL 19464 0% 100% 2
10 UNIV CLIN NARODNI FRONT 19464 0% 100% 2

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 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 143038 4% 11% 130
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS 63176 4% 5% 125
3 COMPUTERS & GRAPHICS-UK 41604 3% 5% 95
4 COMPUTERS & GRAPHICS 15896 1% 7% 23
5 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 14999 1% 4% 41
6 CHAOS SOLITONS & FRACTALS 12009 3% 1% 99
7 FUNDAMENTA MATHEMATICAE 11974 2% 3% 49
8 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 8556 2% 1% 70
9 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 6330 1% 2% 32
10 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 3640 1% 1% 37

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 1565634 8% 66% 242 Search JULIA+SET Search JULIA+SET
2 MANDELBROT SET 498711 2% 78% 66 Search MANDELBROT+SET Search MANDELBROT+SET
3 FRACTAL INTERPOLATION FUNCTIONS 474819 2% 89% 55 Search FRACTAL+INTERPOLATION+FUNCTIONS Search FRACTAL+INTERPOLATION+FUNCTIONS
4 FRACTAL IMAGE COMPRESSION 407674 2% 87% 48 Search FRACTAL+IMAGE+COMPRESSION Search FRACTAL+IMAGE+COMPRESSION
5 FRACTAL IMAGE CODING 359880 1% 86% 43 Search FRACTAL+IMAGE+CODING Search FRACTAL+IMAGE+CODING
6 ITERATED FUNCTION SYSTEM 282675 4% 25% 117 Search ITERATED+FUNCTION+SYSTEM Search ITERATED+FUNCTION+SYSTEM
7 FATOU SET 275532 1% 75% 38 Search FATOU+SET Search FATOU+SET
8 FRACTAL INTERPOLATION 173112 1% 68% 26 Search FRACTAL+INTERPOLATION Search FRACTAL+INTERPOLATION
9 FRACTAL CODING 166061 1% 74% 23 Search FRACTAL+CODING Search FRACTAL+CODING
10 HOLOMORPHIC DYNAMICS 160705 1% 52% 32 Search HOLOMORPHIC+DYNAMICS Search HOLOMORPHIC+DYNAMICS

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 VITULANO, D , (2005) FRACTAL ENCODING.ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 134. VOL. 134. ISSUE . P. 113 -179 59 86% 0
3 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
4 ASHISH , RANI, M , CHUGH, R , (2014) JULIA SETS AND MANDELBROT SETS IN NOOR ORBIT.APPLIED MATHEMATICS AND COMPUTATION. VOL. 228. ISSUE . P. 615 -631 34 97% 2
5 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
6 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
7 PASTOR, G , ROMERA, M , ORUE, AB , MARTIN, A , DANCA, MF , MONTOYA, F , (2011) CALCULATION OF THE STRUCTURE OF A SHRUB IN THE MANDELBROT SET.DISCRETE DYNAMICS IN NATURE AND SOCIETY. VOL. . ISSUE . P. - 29 100% 0
8 BERGWEILER, W , (2010) ITERATION OF QUASIREGULAR MAPPINGS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 10. ISSUE 2. P. 455-481 33 85% 9
9 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
10 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

Classes with closest relation at Level 2


Rank Class id link
1 2945 MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY
2 386 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY
3 1098 HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS
4 2490 TEXTURE CLASSIFICATION//TEXTURE SEGMENTATION//DIRECTIONAL DATA
5 2311 UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS
6 2135 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
7 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
8 3233 FRACTURE THEORY//FIBER BUNDLE MODEL//FRACTAL CRACK
9 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
10 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE

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