Class information for:
Level 1: HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2811 2143 17.9 47%


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
1098 2             HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS 9817
2811 1                   HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM 2143

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 HAUSDORFF DIMENSION authKW 1156451 14% 27% 296
2 SELF SIMILAR SET authKW 663489 4% 59% 79
3 ITERATED FUNCTION SYSTEM authKW 584238 6% 30% 139
4 SELF SIMILAR MEASURE authKW 370993 2% 61% 43
5 PACKING DIMENSION authKW 317848 2% 47% 47
6 PACKING MEASURE authKW 312725 1% 73% 30
7 LIPSCHITZ EQUIVALENCE authKW 285588 1% 95% 21
8 OPEN SET CONDITION authKW 269819 1% 76% 25
9 SELF AFFINE SET authKW 265209 1% 85% 22
10 MORAN SET authKW 251312 1% 84% 21

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 64083 74% 0% 1582
2 Mathematics, Applied 18100 37% 0% 788
3 Physics, Mathematical 5894 15% 0% 324
4 Mathematics, Interdisciplinary Applications 1861 7% 0% 152
5 Statistics & Probability 567 4% 0% 96
6 Physics, Multidisciplinary 50 4% 0% 87
7 Computer Science, Theory & Methods 17 1% 0% 32
8 Computer Science, Software Engineering 2 1% 0% 16
9 Computer Science, Cybernetics -0 0% 0% 1
10 Automation & Control Systems -0 0% 0% 7

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 ANAL ECON 1 42735 0% 50% 6
2 MATH 35527 48% 0% 1027
3 WISKUNDE INFORMAT MRI 32054 0% 75% 3
4 EQUIPE SOSSO2 28494 0% 100% 2
5 MCMS 28494 0% 100% 2
6 GRP LICAC MATEMAT ESTADIST 23739 0% 33% 5
7 ANAL MATH PLIQUEES 22254 0% 31% 5
8 MATH SYST SCI LMIB 18995 0% 67% 2
9 SSOR 18995 0% 67% 2
10 MTA BME STOCHAST GRP 16277 0% 29% 4

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 NONLINEARITY 54892 5% 3% 112
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS 44802 4% 4% 87
3 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 44564 3% 5% 60
4 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 24343 3% 2% 74
5 MONATSHEFTE FUR MATHEMATIK 15047 2% 2% 49
6 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 14778 1% 5% 21
7 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 11760 1% 3% 30
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 10270 6% 1% 124
9 CHAOS SOLITONS & FRACTALS 8542 3% 1% 69
10 MATHEMATIKA 7214 1% 2% 21

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 HAUSDORFF DIMENSION 1156451 14% 27% 296 Search HAUSDORFF+DIMENSION Search HAUSDORFF+DIMENSION
2 SELF SIMILAR SET 663489 4% 59% 79 Search SELF+SIMILAR+SET Search SELF+SIMILAR+SET
3 ITERATED FUNCTION SYSTEM 584238 6% 30% 139 Search ITERATED+FUNCTION+SYSTEM Search ITERATED+FUNCTION+SYSTEM
4 SELF SIMILAR MEASURE 370993 2% 61% 43 Search SELF+SIMILAR+MEASURE Search SELF+SIMILAR+MEASURE
5 PACKING DIMENSION 317848 2% 47% 47 Search PACKING+DIMENSION Search PACKING+DIMENSION
6 PACKING MEASURE 312725 1% 73% 30 Search PACKING+MEASURE Search PACKING+MEASURE
7 LIPSCHITZ EQUIVALENCE 285588 1% 95% 21 Search LIPSCHITZ+EQUIVALENCE Search LIPSCHITZ+EQUIVALENCE
8 OPEN SET CONDITION 269819 1% 76% 25 Search OPEN+SET+CONDITION Search OPEN+SET+CONDITION
9 SELF AFFINE SET 265209 1% 85% 22 Search SELF+AFFINE+SET Search SELF+AFFINE+SET
10 MORAN SET 251312 1% 84% 21 Search MORAN+SET Search MORAN+SET

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 CLIMENHAGA, V , (2014) THE THERMODYNAMIC APPROACH TO MULTIFRACTAL ANALYSIS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 34. ISSUE . P. 1409 -1450 78 77% 1
2 BARRAL, J , (2015) INVERSE PROBLEMS IN MULTIFRACTAL ANALYSIS OF MEASURES.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 48. ISSUE 6. P. 1457 -1510 50 83% 0
3 BARRAL, J , FENG, DJ , (2013) MULTIFRACTAL FORMALISM FOR ALMOST ALL SELF-AFFINE MEASURES.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 318. ISSUE 2. P. 473-504 39 98% 4
4 LI, H , GUO, QL , WANG, Q , XI, LF , (2015) ALGORITHMS TO TEST OPEN SET CONDITION FOR SELF-SIMILAR SET RELATED TO PV NUMBERS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 421. ISSUE 1. P. 453 -473 36 97% 1
5 BARRAL, J , BHOURI, I , (2011) MULTIFRACTAL ANALYSIS FOR PROJECTIONS OF GIBBS AND RELATED MEASURES.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 31. ISSUE . P. 673 -701 39 89% 4
6 FENG, DJ , (2009) LYAPUNOV EXPONENTS FOR PRODUCTS OF MATRICES AND MULTIFRACTAL ANALYSIS. PART II: GENERAL MATRICES.ISRAEL JOURNAL OF MATHEMATICS. VOL. 170. ISSUE 1. P. 355-394 35 100% 13
7 FENG, DJ , (2005) THE LIMITED RADEMACHER FUNCTIONS AND BERNOULLI CONVOLUTIONS ASSOCIATED WITH PISOT NUMBERS.ADVANCES IN MATHEMATICS. VOL. 195. ISSUE 1. P. 24-101 38 100% 29
8 FRASER, JM , (2016) ON THE L-Q-SPECTRUM OF PLANAR SELF-AFFINE MEASURES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 8. P. 5579 -5620 29 100% 0
9 BARREIRA, L , GELFERT, K , (2011) DIMENSION ESTIMATES IN SMOOTH DYNAMICS: A SURVEY OF RECENT RESULTS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 31. ISSUE . P. 641 -671 45 69% 11
10 FENG, DJ , LAU, KS , (2009) MULTIFRACTAL FORMALISM FOR SELF-SIMILAR MEASURES WITH WEAK SEPARATION CONDITION.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 92. ISSUE 4. P. 407 -428 34 94% 16

Classes with closest relation at Level 1


Rank Class id link
1 33651 NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS
2 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
3 15331 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING
4 28866 NOWHERE DIFFERENTIABLE FUNCTION//SINGULAR FUNCTIONS//TAKAGIS FUNCTION
5 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
6 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS
7 37333 MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS//ALGEBRAIC STRUCTURES WITH RESPECT TO NON NEWTONIAN CALCULUS
8 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
9 15360 LOCAL LYAPUNOV EXPONENT//LOCAL EXPANSION RATE//MEAN LYAPUNOV EXPONENT
10 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES

Go to start page