Class information for:
Level 2: HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1098 9817 17.8 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
1098 2             HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS 9817
2811 1                   HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM 2143
5684 1                   COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS 1589
8444 1                   DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES 1253
12689 1                   ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION 888
14311 1                   TILING SPACES//DELONE SETS//MODEL SET 777
14899 1                   TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS 743
18796 1                   SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//SUM OF DIGITS 535
19134 1                   HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP 520
19168 1                   SHIFT OF FINITE TYPE//ZD//SOFIC 518
24058 1                   ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION 325
28473 1                   KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//SIMULTANEOUS DIOPHANTINE APPROXIMATIONS 206
28866 1                   NOWHERE DIFFERENTIABLE FUNCTION//SINGULAR FUNCTIONS//TAKAGIS FUNCTION 198
33651 1                   NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS 122

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 498048 4% 39% 416
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 468880 6% 25% 602
3 MATHEMATICS WoSSC 301826 75% 1% 7346
4 COMBINATORICS ON WORDS authKW 298787 2% 64% 150
5 STURMIAN WORDS authKW 292342 1% 90% 104
6 BETA EXPANSION authKW 229752 1% 79% 93
7 SELF SIMILAR SET authKW 159746 1% 62% 83
8 ITERATED FUNCTION SYSTEM authKW 148291 2% 32% 150
9 PISOT NUMBERS authKW 145049 1% 68% 69
10 DIOPHANTINE APPROXIMATION authKW 140623 1% 40% 114

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 301826 75% 1% 7346
2 Mathematics, Applied 41664 26% 1% 2601
3 Computer Science, Theory & Methods 7564 8% 0% 808
4 Physics, Mathematical 5408 7% 0% 705
5 Statistics & Probability 508 2% 0% 226
6 Mathematics, Interdisciplinary Applications 507 2% 0% 207
7 Computer Science, Information Systems 437 2% 0% 231
8 Computer Science, Software Engineering 102 1% 0% 123
9 Logic 6 0% 0% 10
10 Multidisciplinary Sciences 1 0% 0% 32

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 88025 36% 1% 3494
2 MATH LUMINY 45344 1% 22% 65
3 ABT MATH STAT 40411 0% 100% 13
4 COMP ALGEBRA 35376 0% 38% 30
5 THOMAS STIELTJES MATH 34431 0% 92% 12
6 UPR 9016 32702 0% 29% 36
7 FUNDIM 28930 0% 85% 11
8 MATH FNSPE 27977 0% 100% 9
9 CHAIR MATH STAT 25655 0% 52% 16
10 UMR 6206 22977 0% 22% 33

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 468880 6% 25% 602
2 JOURNAL OF MODERN DYNAMICS 85360 1% 35% 79
3 RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS 65634 1% 23% 92
4 THEORETICAL COMPUTER SCIENCE 59990 5% 4% 457
5 ISRAEL JOURNAL OF MATHEMATICS 57861 3% 7% 265
6 ACTA ARITHMETICA 50359 2% 7% 229
7 JOURNAL OF NUMBER THEORY 47131 3% 6% 268
8 MONATSHEFTE FUR MATHEMATIK 46250 2% 8% 184
9 NONLINEARITY 30717 2% 6% 180
10 FIBONACCI QUARTERLY 24392 1% 8% 95

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 498048 4% 39% 416 Search HAUSDORFF+DIMENSION Search HAUSDORFF+DIMENSION
2 COMBINATORICS ON WORDS 298787 2% 64% 150 Search COMBINATORICS+ON+WORDS Search COMBINATORICS+ON+WORDS
3 STURMIAN WORDS 292342 1% 90% 104 Search STURMIAN+WORDS Search STURMIAN+WORDS
4 BETA EXPANSION 229752 1% 79% 93 Search BETA+EXPANSION Search BETA+EXPANSION
5 SELF SIMILAR SET 159746 1% 62% 83 Search SELF+SIMILAR+SET Search SELF+SIMILAR+SET
6 ITERATED FUNCTION SYSTEM 148291 2% 32% 150 Search ITERATED+FUNCTION+SYSTEM Search ITERATED+FUNCTION+SYSTEM
7 PISOT NUMBERS 145049 1% 68% 69 Search PISOT+NUMBERS Search PISOT+NUMBERS
8 DIOPHANTINE APPROXIMATION 140623 1% 40% 114 Search DIOPHANTINE+APPROXIMATION Search DIOPHANTINE+APPROXIMATION
9 PARTIAL WORDS 116365 0% 80% 47 Search PARTIAL+WORDS Search PARTIAL+WORDS
10 INTERVAL EXCHANGE TRANSFORMATION 99737 0% 84% 38 Search INTERVAL+EXCHANGE+TRANSFORMATION Search INTERVAL+EXCHANGE+TRANSFORMATION

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 BARAT, G , BERTHE, V , LIARDET, P , THUSWALDNER, J , (2006) DYNAMICAL DIRECTIONS IN NUMERATION.ANNALES DE L INSTITUT FOURIER. VOL. 56. ISSUE 7. P. 1987 -2092 114 84% 19
2 GLEN, A , JUSTIN, J , (2009) EPISTURMIAN WORDS: A SURVEY.RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS. VOL. 43. ISSUE 3. P. 403 -442 78 95% 19
3 CLIMENHAGA, V , (2014) THE THERMODYNAMIC APPROACH TO MULTIFRACTAL ANALYSIS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 34. ISSUE . P. 1409 -1450 78 77% 1
4 QUEFFELEC, M , (2010) THE BANACH ALGEBRA M(T).SUBSTITUTION DYNAMICAL SYSTEMS: SPECTRAL ANALYSIS, SECOND EDITION. VOL. 1294. ISSUE . P. 1 -+ 66 74% 0
5 BARRAL, J , (2015) INVERSE PROBLEMS IN MULTIFRACTAL ANALYSIS OF MEASURES.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 48. ISSUE 6. P. 1457 -1510 51 85% 0
6 FORNI, G , MATHEUS, C , (2014) INTRODUCTION TO TEICHMULLER THEORY AND ITS APPLICATIONS TO DYNAMICS OF INTERVAL EXCHANGE TRANSFORMATIONS, FLOWS ON SURFACES AND BILLIARDS.JOURNAL OF MODERN DYNAMICS. VOL. 8. ISSUE 3-4. P. 271 -436 44 94% 1
7 RIGO, M , (2017) RELATIONS ON WORDS.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 28. ISSUE 1. P. 183 -204 45 80% 0
8 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
9 BERTHE, V , (2001) THE OSTROWSKI NUMERATIONS SYSTEM.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 8. ISSUE 2. P. 209 -239 57 92% 16
10 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

Classes with closest relation at Level 2


Rank Class id link
1 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
2 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
3 386 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY
4 2775 JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS
5 1499 QUASICRYSTALS//APPROXIMANT//DECAGONAL QUASICRYSTAL
6 3857 MOUFANG SET//CHABAUTY TOPOLOGY//SELFDECOMPOSABLE DISTRIBUTION
7 1206 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS
8 3165 SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE
9 2540 CELLULAR AUTOMATA//JOURNAL OF CELLULAR AUTOMATA//PHYSARUM POLYCEPHALUM
10 3826 QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA

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