Class information for:
Level 1: TILING SPACES//DELONE SETS//MODEL SET

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14311 777 21.1 43%


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
14311 1                   TILING SPACES//DELONE SETS//MODEL SET 777

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 TILING SPACES authKW 558896 2% 89% 16
2 DELONE SETS authKW 302285 1% 77% 10
3 MODEL SET authKW 288741 2% 57% 13
4 ADIC TRANSFORMATION authKW 240696 1% 88% 7
5 MEYER SETS authKW 240696 1% 88% 7
6 SUBSTITUTION TILING authKW 240696 1% 88% 7
7 BRATTELI DIAGRAM authKW 228996 2% 45% 13
8 CANTOR MINIMAL SYSTEM authKW 202100 1% 86% 6
9 TILINGS authKW 200251 4% 18% 29
10 EA 3097 address 190188 1% 44% 11

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 15980 62% 0% 478
2 Physics, Mathematical 2816 17% 0% 134
3 Mathematics, Applied 2391 23% 0% 177
4 Computer Science, Theory & Methods 823 10% 0% 74
5 Physics, Multidisciplinary 64 6% 0% 46
6 Computer Science, Software Engineering 42 2% 0% 17
7 Crystallography 34 2% 0% 19
8 Mathematics, Interdisciplinary Applications 21 2% 0% 13
9 Metallurgy & Metallurgical Engineering 20 3% 0% 21
10 Statistics & Probability 16 2% 0% 13

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 EA 3097 190188 1% 44% 11
2 IUT METZ 106968 1% 39% 7
3 MATH EDU 88418 0% 75% 3
4 IUT METZ INFORMAT 78595 0% 100% 2
5 CEES FIS 39298 0% 100% 1
6 CNRS FR 3399 39298 0% 100% 1
7 DPTO XEMETRIA TOPOLOXIA 39298 0% 100% 1
8 EUIT AGRICOLAS 39298 0% 100% 1
9 F KRISTALLOG ANG MIN 39298 0% 100% 1
10 FAK INFOMAR 39298 0% 100% 1

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 87188 9% 3% 73
2 DISCRETE & COMPUTATIONAL GEOMETRY 30474 5% 2% 40
3 JOURNAL OF CELLULAR AUTOMATA 7253 1% 3% 7
4 COMMUNICATIONS IN MATHEMATICAL PHYSICS 4023 4% 0% 29
5 MATHEMATICAL INTELLIGENCER 3185 1% 1% 7
6 CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 2433 2% 1% 12
7 JOURNAL D ANALYSE MATHEMATIQUE 2126 1% 1% 8
8 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 2125 0% 2% 3
9 INDAGATIONES MATHEMATICAE-NEW SERIES 2082 1% 1% 8
10 ISRAEL JOURNAL OF MATHEMATICS 2031 2% 0% 14

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 TILING SPACES 558896 2% 89% 16 Search TILING+SPACES Search TILING+SPACES
2 DELONE SETS 302285 1% 77% 10 Search DELONE+SETS Search DELONE+SETS
3 MODEL SET 288741 2% 57% 13 Search MODEL+SET Search MODEL+SET
4 ADIC TRANSFORMATION 240696 1% 88% 7 Search ADIC+TRANSFORMATION Search ADIC+TRANSFORMATION
5 MEYER SETS 240696 1% 88% 7 Search MEYER+SETS Search MEYER+SETS
6 SUBSTITUTION TILING 240696 1% 88% 7 Search SUBSTITUTION+TILING Search SUBSTITUTION+TILING
7 BRATTELI DIAGRAM 228996 2% 45% 13 Search BRATTELI+DIAGRAM Search BRATTELI+DIAGRAM
8 CANTOR MINIMAL SYSTEM 202100 1% 86% 6 Search CANTOR+MINIMAL+SYSTEM Search CANTOR+MINIMAL+SYSTEM
9 TILINGS 200251 4% 18% 29 Search TILINGS Search TILINGS
10 APERIODIC TILINGS 169809 1% 39% 11 Search APERIODIC+TILINGS Search APERIODIC+TILINGS

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 BAAKE, M , GRIMM, U , (2011) KINEMATIC DIFFRACTION FROM A MATHEMATICAL VIEWPOINT.ZEITSCHRIFT FUR KRISTALLOGRAPHIE. VOL. 226. ISSUE 9. P. 711 -725 41 89% 10
2 BAAKE, M , LENZ, D , (2017) SPECTRAL NOTIONS OF APERIODIC ORDER.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. VOL. 10. ISSUE 2. P. 161 -190 31 89% 0
3 LENZ, D , (2008) APERIODIC ORDER AND PURE POINT DIFFRACTION.PHILOSOPHICAL MAGAZINE. VOL. 88. ISSUE 13-15. P. 2059 -2071 31 100% 7
4 BAAKE, M , LENZ, D , VAN ENTER, A , (2015) DYNAMICAL VERSUS DIFFRACTION SPECTRUM FOR STRUCTURES WITH FINITE LOCAL COMPLEXITY.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 35. ISSUE . P. 2017 -2043 25 100% 0
5 LEE, JY , SOLOMYAK, B , (2012) PISOT FAMILY SELF-AFFINE TILINGS, DISCRETE SPECTRUM, AND THE MEYER PROPERTY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 32. ISSUE 3. P. 935 -959 27 93% 9
6 BAAKE, M , GAHLER, F , (2016) PAIR CORRELATIONS OF APERIODIC INFLATION RULES VIA RENORMALISATION: SOME INTERESTING EXAMPLES.TOPOLOGY AND ITS APPLICATIONS. VOL. 205. ISSUE . P. 4 -27 25 93% 0
7 KELLENDONK, J , SADUN, L , (2014) MEYER SETS, TOPOLOGICAL EIGENVALUES, AND CANTOR FIBER BUNDLES.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 89. ISSUE . P. 114-130 24 96% 4
8 BAAKE, M , GRIMM, U , (2012) MATHEMATICAL DIFFRACTION OF APERIODIC STRUCTURES.CHEMICAL SOCIETY REVIEWS. VOL. 41. ISSUE 20. P. 6821-6843 42 55% 9
9 GRIMM, U , (2015) APERIODIC CRYSTALS AND BEYOND.ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE CRYSTAL ENGINEERING AND MATERIALS. VOL. 71. ISSUE . P. 258 -274 29 73% 2
10 LENZ, D , (2009) CONTINUITY OF EIGENFUNCTIONS OF UNIQUELY ERGODIC DYNAMICAL SYSTEMS AND INTENSITY OF BRAGG PEAKS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 287. ISSUE 1. P. 225-258 28 85% 16

Classes with closest relation at Level 1


Rank Class id link
1 5684 COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS
2 12689 ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION
3 8105 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION
4 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION
5 6045 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP
6 12 QUASICRYSTALS//DECAGONAL QUASICRYSTAL//APPROXIMANT
7 29359 POLYOMINO TILINGS//LATTICE PERIODIC TILINGS//TILE INVARIANTS
8 19168 SHIFT OF FINITE TYPE//ZD//SOFIC
9 16068 ACTA CRYSTALLOGRAPHICA SECTION A//COLOUR SYMMETRY//ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES
10 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS

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