Class information for:
Level 1: ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24058 325 18.5 35%


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
24058 1                   ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION 325

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 ALGEBRAIC ENTROPY authKW 775777 5% 49% 17
2 ALGEBRAIC ACTION authKW 668118 2% 89% 8
3 MEAN DIMENSION authKW 483192 2% 86% 6
4 PRIMES IN GRAPHS authKW 281863 1% 100% 3
5 HOMOCLINIC POINTS authKW 225483 2% 40% 6
6 IHARA ZETA FUNCTIONS authKW 211396 1% 75% 3
7 ADJOINT ALGEBRAIC ENTROPY authKW 187909 1% 100% 2
8 ADJOINT ENTROPY authKW 187909 1% 100% 2
9 BRODY CURVE authKW 187909 1% 100% 2
10 COMPLETE JP MODULES authKW 187909 1% 100% 2

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 15762 94% 0% 304
2 Mathematics, Applied 1891 31% 0% 100
3 Physics, Mathematical 18 3% 0% 9
4 Statistics & Probability 2 1% 0% 4
5 Computer Science, Theory & Methods -0 1% 0% 2
6 Mathematics, Interdisciplinary Applications -0 0% 0% 1
7 Computer Science, Artificial Intelligence -1 0% 0% 1
8 Computer Science, Interdisciplinary Applications -1 0% 0% 1
9 Mechanics -2 0% 0% 1
10 Physics, Multidisciplinary -4 0% 0% 1

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 CHONGQING MATH 93954 0% 100% 1
2 FEDERAT POISSON 93954 0% 100% 1
3 ELECT ENGN MATH INFORMAT TECHNOL 65041 1% 23% 3
4 DIPARTIMENTO INFORMAT MATEMAT 31317 0% 33% 1
5 MATH SUMIYOSHI KU 23487 0% 25% 1
6 UPR 9016 CNRS 18789 0% 20% 1
7 RECH MATH AVANCEE 11330 2% 2% 8
8 PROBABIL 10794 2% 2% 6
9 UNIV MATEMAT LICAC CASTELLO IMAC 8539 0% 9% 1
10 URA 224 7225 0% 8% 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 53565 11% 2% 37
2 ISRAEL JOURNAL OF MATHEMATICS 13240 7% 1% 23
3 MONATSHEFTE FUR MATHEMATIK 7003 4% 1% 13
4 NAGOYA MATHEMATICAL JOURNAL 3791 2% 1% 7
5 PUBLICATIONS MATHEMATIQUES 2759 1% 1% 2
6 FORUM MATHEMATICUM 2649 2% 0% 6
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2002 6% 0% 19
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 1791 2% 0% 8
9 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 1621 1% 0% 4
10 BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA 1590 0% 2% 1

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 ALGEBRAIC ENTROPY 775777 5% 49% 17 Search ALGEBRAIC+ENTROPY Search ALGEBRAIC+ENTROPY
2 ALGEBRAIC ACTION 668118 2% 89% 8 Search ALGEBRAIC+ACTION Search ALGEBRAIC+ACTION
3 MEAN DIMENSION 483192 2% 86% 6 Search MEAN+DIMENSION Search MEAN+DIMENSION
4 PRIMES IN GRAPHS 281863 1% 100% 3 Search PRIMES+IN+GRAPHS Search PRIMES+IN+GRAPHS
5 HOMOCLINIC POINTS 225483 2% 40% 6 Search HOMOCLINIC+POINTS Search HOMOCLINIC+POINTS
6 IHARA ZETA FUNCTIONS 211396 1% 75% 3 Search IHARA+ZETA+FUNCTIONS Search IHARA+ZETA+FUNCTIONS
7 ADJOINT ALGEBRAIC ENTROPY 187909 1% 100% 2 Search ADJOINT+ALGEBRAIC+ENTROPY Search ADJOINT+ALGEBRAIC+ENTROPY
8 ADJOINT ENTROPY 187909 1% 100% 2 Search ADJOINT+ENTROPY Search ADJOINT+ENTROPY
9 BRODY CURVE 187909 1% 100% 2 Search BRODY+CURVE Search BRODY+CURVE
10 COMPLETE JP MODULES 187909 1% 100% 2 Search COMPLETE+JP+MODULES Search COMPLETE+JP+MODULES

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 DIKRANJAN, D , BRUNO, AG , (2016) ENTROPY ON ABELIAN GROUPS.ADVANCES IN MATHEMATICS. VOL. 298. ISSUE . P. 612 -653 16 84% 0
2 MILES, R , WARD, T , (2015) DIRECTIONAL UNIFORMITIES, PERIODIC POINTS, AND ENTROPY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 20. ISSUE 10. P. 3525 -3545 17 71% 1
3 MATSUO, S , TSUKAMOTO, M , (2015) BRODY CURVES AND MEAN DIMENSION.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 28. ISSUE 1. P. 159 -182 12 100% 0
4 SHARP, R , (2004) UNIFORM ESTIMATES FOR CLOSED GEODESICS AND HOMOLOGY ON FINITE AREA HYPERBOLIC SURFACES.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 137. ISSUE . P. 245-254 15 100% 1
5 LIND, D , SCHMIDT, K , (2015) A SURVEY OF ALGEBRAIC ACTIONS OF THE DISCRETE HEISENBERG GROUP.RUSSIAN MATHEMATICAL SURVEYS. VOL. 70. ISSUE 4. P. 657 -714 18 60% 1
6 MILES, R , (2008) HOMOCLINIC POINTS OF NON-EXPANSIVE AUTOMORPHISMS.AEQUATIONES MATHEMATICAE. VOL. 76. ISSUE 1-2. P. 1 -18 12 100% 0
7 CHUNG, NP , LI, HF , (2015) HOMOCLINIC GROUPS, IE GROUPS, AND EXPANSIVE ALGEBRAIC ACTIONS.INVENTIONES MATHEMATICAE. VOL. 199. ISSUE 3. P. 805 -858 20 45% 6
8 POLLICOTT, M , SHARP, R , (2007) CHEBOTAREV-TYPE THEOREMS IN HOMOLOGY CLASSES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 135. ISSUE 12. P. 3887 -3894 12 100% 0
9 LI, HF , (2012) COMPACT GROUP AUTOMORPHISMS, ADDITION FORMULAS AND FUGLEDE-KADISON DETERMINANTS.ANNALS OF MATHEMATICS. VOL. 176. ISSUE 1. P. 303 -347 18 56% 7
10 DIKRANJAN, D , SANCHIS, M , VIRILI, S , (2012) NEW AND OLD FACTS ABOUT ENTROPY IN UNIFORM SPACES AND TOPOLOGICAL GROUPS.TOPOLOGY AND ITS APPLICATIONS. VOL. 159. ISSUE 7. P. 1916 -1942 11 92% 3

Classes with closest relation at Level 1


Rank Class id link
1 19168 SHIFT OF FINITE TYPE//ZD//SOFIC
2 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES
3 12689 ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION
4 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
5 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS
6 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY
7 19134 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
8 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
9 33651 NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS
10 16946 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION

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