Class information for:
Level 2: ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//DOMINATED SPLITTING

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
818 11292 19.1 39%


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
4576 1690 JULIA SET//JULIA SETS//FATOU SET
5225 1586 DECAY OF CORRELATIONS//FROBENIUS PERRON OPERATORS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES
6825 1363 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
7084 1332 SCRAMBLED SET//EXPANSIVE HOMEOMORPHISM//DISTRIBUTIONAL CHAOS
12943 807 JOININGS//C F CONSTRUCTION//INFINITE MEASURE PRESERVING
13048 800 TEICHMULLER FLOW//KONTSEVICH ZORICH COCYCLE//TRANSLATION SURFACES
13520 767 CONLEY INDEX//ISOLATED INVARIANT SET//RIGOROUS NUMERICS
14705 686 FULL GROUP//ADIC TRANSFORMATION//TILING SPACES
16687 576 NIELSEN NUMBERS//REIDEMEISTER NUMBER//NIELSEN FIXED POINT THEORY
19111 455 SHIFT OF FINITE TYPE//ZD//ALGEBRAIC ACTION
20115 412 ROTATION SET//PLANAR HOMEOMORPHISM//SURFACE HOMEOMORPHISMS
20387 401 NMS SYSTEMS//MORSE SMALE DIFFEOMORPHISM//MATH 4408
22534 322 PIECEWISE ISOMETRY//PIECEWISE ISOMETRIES//TWOS COMPLEMENT ARITHMETIC
33255 95 INVERSE FROBENIUS PERRON PROBLEM//CHAOS APPLICATIONS//IFPP

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 ERGODIC THEORY AND DYNAMICAL SYSTEMS Journal 681 47% 9% 1069
2 NIELSEN NUMBERS Author keyword 297 96% 1% 93
3 DOMINATED SPLITTING Author keyword 215 97% 1% 62
4 TOPOLOGICAL ENTROPY Author keyword 134 50% 2% 195
5 JULIA SET Author keyword 127 56% 1% 156
6 HOMOCLINIC CLASS Author keyword 111 100% 0% 32
7 CONLEY INDEX Author keyword 110 68% 1% 96
8 PARTIAL HYPERBOLICITY Author keyword 105 87% 0% 52
9 SCRAMBLED SET Author keyword 90 96% 0% 27
10 PSEUDO ORBIT Author keyword 73 96% 0% 23

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 NIELSEN NUMBERS 297 96% 1% 93 Search NIELSEN+NUMBERS Search NIELSEN+NUMBERS
2 DOMINATED SPLITTING 215 97% 1% 62 Search DOMINATED+SPLITTING Search DOMINATED+SPLITTING
3 TOPOLOGICAL ENTROPY 134 50% 2% 195 Search TOPOLOGICAL+ENTROPY Search TOPOLOGICAL+ENTROPY
4 JULIA SET 127 56% 1% 156 Search JULIA+SET Search JULIA+SET
5 HOMOCLINIC CLASS 111 100% 0% 32 Search HOMOCLINIC+CLASS Search HOMOCLINIC+CLASS
6 CONLEY INDEX 110 68% 1% 96 Search CONLEY+INDEX Search CONLEY+INDEX
7 PARTIAL HYPERBOLICITY 105 87% 0% 52 Search PARTIAL+HYPERBOLICITY Search PARTIAL+HYPERBOLICITY
8 SCRAMBLED SET 90 96% 0% 27 Search SCRAMBLED+SET Search SCRAMBLED+SET
9 PSEUDO ORBIT 73 96% 0% 23 Search PSEUDO+ORBIT Search PSEUDO+ORBIT
10 EXPANSIVE HOMEOMORPHISM 62 92% 0% 24 Search EXPANSIVE+HOMEOMORPHISM Search EXPANSIVE+HOMEOMORPHISM

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 DIFFEOMORPHISMS 184 35% 4% 422
2 JULIA SETS 181 63% 2% 182
3 NIELSEN NUMBERS 122 95% 0% 40
4 TEICHMULLER CURVES 114 86% 1% 59
5 INTERVAL EXCHANGE TRANSFORMATIONS 109 70% 1% 90
6 SRB MEASURES 107 77% 1% 72
7 CENTRAL DIRECTION 107 93% 0% 40
8 CONTINUOUS INVARIANT MEASURES 106 81% 1% 64
9 RATIONAL MAPS 104 53% 1% 138
10 WANDERING DOMAINS 102 81% 1% 61

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 ERGODIC THEORY AND DYNAMICAL SYSTEMS 681 47% 9% 1069
2 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 59 14% 3% 392
3 NONLINEARITY 58 13% 4% 406
4 JOURNAL OF MODERN DYNAMICS 44 42% 1% 79
5 FUNDAMENTA MATHEMATICAE 34 13% 2% 245
6 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 31 27% 1% 101
7 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 9 13% 1% 61
8 JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 6 13% 0% 43
9 STOCHASTICS AND DYNAMICS 4 11% 0% 35
10 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 2 14% 0% 13

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Local entropy theory 2009 22 52 94%
Kinematic diffraction from a mathematical viewpoint 2011 9 46 87%
Poincare recurrence theory and its applications to nonlinear physics 2013 4 25 68%
A global perspective for non-conservative dynamics 2005 31 50 94%
AN INTRODUCTION TO QUANTITATIVE POINCARE RECURRENCE IN DYNAMICAL SYSTEMS 2009 8 37 95%
Measures and dimensions in conformal dynamics 2003 31 59 75%
Mathematical diffraction of aperiodic structures 2012 6 76 49%
Relativization of dynamical properties 2012 2 46 100%
Rank one chaos: Theory and applications 2008 8 20 80%
Topological analysis of chaotic dynamical systems 1998 139 91 29%

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 KM FSV 38 93% 0.1% 14
2 FEDERAT RECH UNITES MATH MARSEILLE 35 89% 0.1% 16
3 IMERL 28 62% 0.3% 29
4 IMERL INGN 21 90% 0.1% 9
5 PL MATH CYBERNET 10 28% 0.3% 31
6 MATH 4408 8 100% 0.0% 5
7 UMR 5584 8 15% 0.4% 46
8 MATEMAT ESTADIST PROF ING RAFAEL LAGUARDIA 8 62% 0.1% 8
9 TOPOL 7 20% 0.3% 31
10 MATEMAT ESTADIST IMERL 6 80% 0.0% 4

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000024504 HAUSDORFF DIMENSION//COMBINATORICS ON WORDS//OPEN SET CONDITION
2 0.0000012065 MANDELBROT SET//GENERALIZED M J SETS//SUPRAMEDULLARY NEURONS
3 0.0000011248 HYPERBOLIC 3 MANIFOLD//DEHN SURGERY//GROUPS GEOMETRY AND DYNAMICS
4 0.0000010537 TOPOLOGY AND ITS APPLICATIONS//HYPERSPACE//CONTINUUM
5 0.0000010300 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//CHAOS SYNCHRONIZATION
6 0.0000009873 ORBIT FLIP//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION
7 0.0000009396 JOURNAL OF CELLULAR AUTOMATA//CELLULAR AUTOMATA//ELEMENTARY CELLULAR AUTOMATA
8 0.0000009070 HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION
9 0.0000007524 QUANTUM CHAOS//NANOELECT MAT//NONLINEAR DYNAM SYST
10 0.0000006781 BENFORDS LAW//GREATEST TYPE DIVISOR//GCD CLOSED SET