Class information for:
Level 1: BETA EXPANSION//PISOT NUMBERS//CANONICAL NUMBER SYSTEM

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
486 3       ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS//HAUSDORFF DIMENSION 24099
2336 2             COMBINATORICS ON WORDS//STURMIAN WORDS//BETA EXPANSION 4693
9270 1                   BETA EXPANSION//PISOT NUMBERS//CANONICAL NUMBER SYSTEM 1202

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BETA EXPANSION authKW 1100091 6% 57% 73
2 PISOT NUMBERS authKW 768375 5% 52% 56
3 CANONICAL NUMBER SYSTEM authKW 551731 2% 96% 22
4 RAUZY FRACTALS authKW 404512 1% 86% 18
5 TILING SPACES authKW 372885 1% 89% 16
6 RADIX REPRESENTATION authKW 276930 1% 81% 13
7 SHIFT RADIX SYSTEMS authKW 262187 1% 100% 10
8 MODEL SET authKW 245789 1% 63% 15
9 UNIQUE EXPANSION authKW 235968 1% 100% 9
10 SELF AFFINE TILE authKW 222081 1% 71% 12

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 34991 73% 0% 878
2 Mathematics, Applied 3671 23% 0% 273
3 Physics, Mathematical 1571 11% 0% 128
4 Computer Science, Theory & Methods 1198 9% 0% 111
5 Mathematics, Interdisciplinary Applications 28 2% 0% 19
6 Physics, Multidisciplinary 23 4% 0% 46
7 Computer Science, Software Engineering 15 1% 0% 16
8 Crystallography 9 1% 0% 17
9 Metallurgy & Metallurgical Engineering 4 2% 0% 20
10 Computer Science, Information Systems 2 1% 0% 12

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH FNSPE 218486 1% 83% 10
2 CHAIR MATH STAT 197394 1% 47% 16
3 ABT MATH STAT 163357 1% 69% 9
4 MATH ANGEW GEOMETRIE 76262 1% 36% 8
5 UMR 7089 74454 1% 20% 14
6 MATH EDU 58991 0% 75% 3
7 WISKUNDE INFORMAT MRI 58991 0% 75% 3
8 CNRS UMR 7089 55514 0% 35% 6
9 COMP ALGEBRA 46591 1% 15% 12
10 INFORMAT THEOR PROGRAMMAT 34957 0% 67% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 74525 7% 3% 84
2 DISCRETE & COMPUTATIONAL GEOMETRY 28495 4% 2% 48
3 ACTA MATHEMATICA HUNGARICA 15344 3% 1% 42
4 PUBLICATIONES MATHEMATICAE-DEBRECEN 12768 3% 2% 31
5 INDAGATIONES MATHEMATICAE-NEW SERIES 6771 1% 1% 18
6 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE 4898 1% 2% 9
7 THEORETICAL COMPUTER SCIENCE 4599 4% 0% 44
8 JOURNAL OF NUMBER THEORY 4497 2% 1% 29
9 MONATSHEFTE FUR MATHEMATIK 4023 2% 1% 19
10 TOPOLOGY AND ITS APPLICATIONS 3230 2% 0% 28

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 BETA EXPANSION 1100091 6% 57% 73 Search BETA+EXPANSION Search BETA+EXPANSION
2 PISOT NUMBERS 768375 5% 52% 56 Search PISOT+NUMBERS Search PISOT+NUMBERS
3 CANONICAL NUMBER SYSTEM 551731 2% 96% 22 Search CANONICAL+NUMBER+SYSTEM Search CANONICAL+NUMBER+SYSTEM
4 RAUZY FRACTALS 404512 1% 86% 18 Search RAUZY+FRACTALS Search RAUZY+FRACTALS
5 TILING SPACES 372885 1% 89% 16 Search TILING+SPACES Search TILING+SPACES
6 RADIX REPRESENTATION 276930 1% 81% 13 Search RADIX+REPRESENTATION Search RADIX+REPRESENTATION
7 SHIFT RADIX SYSTEMS 262187 1% 100% 10 Search SHIFT+RADIX+SYSTEMS Search SHIFT+RADIX+SYSTEMS
8 MODEL SET 245789 1% 63% 15 Search MODEL+SET Search MODEL+SET
9 UNIQUE EXPANSION 235968 1% 100% 9 Search UNIQUE+EXPANSION Search UNIQUE+EXPANSION
10 SELF AFFINE TILE 222081 1% 71% 12 Search SELF+AFFINE+TILE Search SELF+AFFINE+TILE

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 7714 COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS
2 20145 SUM OF DIGITS FUNCTION//SUM OF DIGITS//DIGITAL EXPANSIONS
3 36606 CLASSICAL LATTICE GAS MODELS//NON LOCAL HAMILTONIAN FIELD THEORY//NONPERIODIC TILINGS
4 22071 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
5 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
6 17822 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
7 19456 SOFIC GROUPS//ALGEBRAIC ENTROPY//ALGEBRAIC ACTION
8 14240 ERGODIC THEORY AND DYNAMICAL SYSTEMS//C F CONSTRUCTION//INFINITE MEASURE PRESERVING
9 7224 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//CUNTZ KRIEGER ALGEBRA
10 30142 POLYOMINO TILINGS//LATTICE PERIODIC TILINGS//TILE INVARIANTS

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