Class information for:
Level 2: HAUSDORFF DIMENSION//COMBINATORICS ON WORDS//OPEN SET CONDITION

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1606 6540 17.2 38%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
491 20524 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//HAUSDORFF DIMENSION

Classes in level below (level 1)


ID, lev. below Publications Label for level below
3310 1938 HAUSDORFF DIMENSION//OPEN SET CONDITION//LIPSCHITZ EQUIVALENCE
6484 1410 COMBINATORICS ON WORDS//STURMIAN WORDS//THUE MORSE WORD
15205 656 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL INTERPOLATION FUNCTION//FRACTAL IMAGE CODING
17485 533 SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//DIGITAL EXPANSIONS
18988 460 EUCLIDEAN ALGORITHMS//MODULAR SURFACE//ABT STAT PHYS NICHTLINEARE DYNAM
21998 340 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORMS
22626 319 CHAINS WITH COMPLETE CONNECTIONS//CHAINS OF INFINITE ORDER//SCI PL RENNES
24072 271 MAHLERS METHOD//EXPRESSIBLE SET//MAHLER FUNCTION
26529 207 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//SIMULTANEOUS DIOPHANTINE APPROXIMATIONS
28182 173 NOWHERE DIFFERENTIABLE FUNCTION//TAKAGIS FUNCTION//OPPENHEIM SERIES EXPANSION
31786 118 GRP COGNIT SYST MODELING//SECC BIOFIS//CONTEXT DEPENDENT ASSOCIATIVE MEMORIES
31997 115 RANDOM FIBONACCI SEQUENCE//TARTAGLIA PASCAL TRIANGLE//ADDITIVE PARTITION

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 HAUSDORFF DIMENSION Author keyword 123 32% 5% 325
2 COMBINATORICS ON WORDS Author keyword 113 57% 2% 132
3 OPEN SET CONDITION Author keyword 107 97% 0% 31
4 STURMIAN WORDS Author keyword 102 83% 1% 58
5 ITERATED FUNCTION SYSTEM Author keyword 84 46% 2% 137
6 THUE MORSE WORD Author keyword 79 94% 0% 29
7 ITERATED FUNCTION SYSTEMS Author keyword 79 52% 2% 108
8 STURMIAN WORD Author keyword 73 88% 1% 35
9 SELF SIMILAR SET Author keyword 60 68% 1% 53
10 LIPSCHITZ EQUIVALENCE Author keyword 53 95% 0% 18

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 HAUSDORFF DIMENSION 123 32% 5% 325 Search HAUSDORFF+DIMENSION Search HAUSDORFF+DIMENSION
2 COMBINATORICS ON WORDS 113 57% 2% 132 Search COMBINATORICS+ON+WORDS Search COMBINATORICS+ON+WORDS
3 OPEN SET CONDITION 107 97% 0% 31 Search OPEN+SET+CONDITION Search OPEN+SET+CONDITION
4 STURMIAN WORDS 102 83% 1% 58 Search STURMIAN+WORDS Search STURMIAN+WORDS
5 ITERATED FUNCTION SYSTEM 84 46% 2% 137 Search ITERATED+FUNCTION+SYSTEM Search ITERATED+FUNCTION+SYSTEM
6 THUE MORSE WORD 79 94% 0% 29 Search THUE+MORSE+WORD Search THUE+MORSE+WORD
7 ITERATED FUNCTION SYSTEMS 79 52% 2% 108 Search ITERATED+FUNCTION+SYSTEMS Search ITERATED+FUNCTION+SYSTEMS
8 STURMIAN WORD 73 88% 1% 35 Search STURMIAN+WORD Search STURMIAN+WORD
9 SELF SIMILAR SET 60 68% 1% 53 Search SELF+SIMILAR+SET Search SELF+SIMILAR+SET
10 LIPSCHITZ EQUIVALENCE 53 95% 0% 18 Search LIPSCHITZ+EQUIVALENCE Search LIPSCHITZ+EQUIVALENCE

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 STURMIAN WORDS 222 89% 2% 102
2 HAUSDORFF DIMENSION 118 37% 4% 257
3 ITERATED FUNCTION SYSTEMS 92 50% 2% 133
4 SELF SIMILAR MEASURES 85 73% 1% 65
5 BERNOULLI CONVOLUTIONS 77 72% 1% 61
6 FRACTALS 75 21% 5% 316
7 RETURN WORDS 69 96% 0% 22
8 EPISTURMIAN WORDS 67 85% 1% 35
9 L Q SPECTRUM 61 95% 0% 20
10 NON REPETITIVE SEQUENCES 61 95% 0% 20

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS 18 21% 1% 78
2 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 11 10% 2% 106

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
A review of the fractal image coding literature 1999 138 30 97%
FRACTAL IMAGE-CODING - A REVIEW 1993 220 10 60%
Moran sets and Moran classes 2001 28 20 100%
Dynamical directions in numeration 2006 16 132 70%
ALMOST ADDITIVE THERMODYNAMIC FORMALISM: SOME RECENT DEVELOPMENTS 2010 3 32 88%
The origins of combinatorics on words 2007 17 5 20%
Normality in non-integer bases and polynomial time randomness 2015 0 5 80%
Number theory, dynamical systems and statistical mechanics 1999 9 18 72%
Fractal-Based Methods and Inverse Problems for Differential Equations: Current State of the Art 2014 0 15 73%
Combinatorial properties of Arnoux-Rauzy subshifts and applications to Schrodinger operators 2003 12 29 38%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 ABT MATH STAT 31 92% 0.2% 12
2 THOMAS STIELTJES MATH 21 85% 0.2% 11
3 MATH FNSPE 15 88% 0.1% 7
4 COMP ALGEBRA 11 35% 0.4% 26
5 FUNDIM 11 78% 0.1% 7
6 MATH ANGEW GEOMETRIE 9 55% 0.2% 12
7 UPR 9016 8 24% 0.4% 29
8 CHAIR MATH STAT 7 44% 0.2% 12
9 MATH LUMINY 7 15% 0.7% 43
10 UMR 7089 7 30% 0.3% 19

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000024504 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//DOMINATED SPLITTING
2 0.0000013372 MAHLER MEASURE//HILBERTS TENTH PROBLEM//INTEGER TRANSFINITE DIAMETER
3 0.0000011564 BENFORDS LAW//GREATEST TYPE DIVISOR//GCD CLOSED SET
4 0.0000009062 GABOR FRAME//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//SHIFT INVARIANT SPACE
5 0.0000008834 RANDOM WALK IN RANDOM ENVIRONMENT//BRANCHING RANDOM WALK//RANDOM ENVIRONMENT
6 0.0000006715 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ANALYSIS ON FRACTALS
7 0.0000006446 MEMBRANE COMPUTING//GRP NAT COMP//THEORETICAL COMPUTER SCIENCE
8 0.0000006188 HYPERBOLIC 3 MANIFOLD//DEHN SURGERY//GROUPS GEOMETRY AND DYNAMICS
9 0.0000006059 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//CARNOT GROUPS//DOUBLING MEASURE
10 0.0000005974 MANDELBROT SET//GENERALIZED M J SETS//SUPRAMEDULLARY NEURONS