Class information for:
Level 1: ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3600 1947 22.4 47%


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
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
386 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY 16977
3600 1                   ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS 1947

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 ABSOLUTELY CONTINUOUS INVARIANT MEASURES authKW 572086 2% 79% 46
2 FROBENIUS PERRON OPERATOR authKW 426083 3% 54% 50
3 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 376239 12% 10% 240
4 DECAY OF CORRELATIONS authKW 341077 2% 51% 43
5 TRANSFER OPERATOR authKW 328633 3% 37% 57
6 SRB MEASURE authKW 225795 1% 60% 24
7 ULAMS METHOD authKW 188178 1% 100% 12
8 RANDOM MAPS authKW 160805 1% 49% 21
9 RETURN TIME authKW 141104 1% 38% 24
10 CONFORMAL MEASURE authKW 137316 1% 52% 17

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 35322 58% 0% 1127
2 Mathematics, Applied 23202 43% 0% 845
3 Physics, Mathematical 19612 28% 0% 550
4 Statistics & Probability 1258 7% 0% 130
5 Mathematics, Interdisciplinary Applications 464 4% 0% 77
6 Physics, Multidisciplinary 132 6% 0% 108
7 Physics, Fluids & Plasmas 12 1% 0% 23
8 Multidisciplinary Sciences -0 0% 0% 4
9 Automation & Control Systems -1 0% 0% 6
10 History & Philosophy of Science -1 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 FEDERAT RECH UNITES MATH MARSEILLE 42680 0% 39% 7
2 FEDEDERAT RECH UNITES MATH MARSEILLE 31363 0% 100% 2
3 INFN BOLOGNA 26129 0% 33% 5
4 FRUMAM 24466 0% 20% 8
5 DIPARTIMENTO MATEMAT 2 23519 0% 50% 3
6 PHYS THEORUMR 6207 23519 0% 50% 3
7 MATEMAT PURA 20887 1% 11% 12
8 MATH 19394 37% 0% 729
9 UNIV AIX MARSEILLE 1 18234 0% 15% 8
10 CNRSUMR 6205 17638 0% 38% 3

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 376239 12% 10% 240
2 NONLINEARITY 134541 9% 5% 167
3 STOCHASTICS AND DYNAMICS 75236 2% 11% 43
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 51762 5% 3% 105
5 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 37813 2% 8% 32
6 COMMUNICATIONS IN MATHEMATICAL PHYSICS 26275 6% 1% 117
7 ANNALS OF MATHEMATICS 11569 2% 2% 36
8 ISRAEL JOURNAL OF MATHEMATICS 9968 3% 1% 49
9 JOURNAL OF STATISTICAL PHYSICS 9957 4% 1% 71
10 FUNDAMENTA MATHEMATICAE 7723 2% 2% 31

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 ABSOLUTELY CONTINUOUS INVARIANT MEASURES 572086 2% 79% 46 Search ABSOLUTELY+CONTINUOUS+INVARIANT+MEASURES Search ABSOLUTELY+CONTINUOUS+INVARIANT+MEASURES
2 FROBENIUS PERRON OPERATOR 426083 3% 54% 50 Search FROBENIUS+PERRON+OPERATOR Search FROBENIUS+PERRON+OPERATOR
3 DECAY OF CORRELATIONS 341077 2% 51% 43 Search DECAY+OF+CORRELATIONS Search DECAY+OF+CORRELATIONS
4 TRANSFER OPERATOR 328633 3% 37% 57 Search TRANSFER+OPERATOR Search TRANSFER+OPERATOR
5 SRB MEASURE 225795 1% 60% 24 Search SRB+MEASURE Search SRB+MEASURE
6 ULAMS METHOD 188178 1% 100% 12 Search ULAMS+METHOD Search ULAMS+METHOD
7 RANDOM MAPS 160805 1% 49% 21 Search RANDOM+MAPS Search RANDOM+MAPS
8 RETURN TIME 141104 1% 38% 24 Search RETURN+TIME Search RETURN+TIME
9 CONFORMAL MEASURE 137316 1% 52% 17 Search CONFORMAL+MEASURE Search CONFORMAL+MEASURE
10 NON UNIFORM EXPANSION 125452 0% 100% 8 Search NON+UNIFORM+EXPANSION Search NON+UNIFORM+EXPANSION

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 HAYDN, NTA , (2013) ENTRY AND RETURN TIMES DISTRIBUTION.DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL. VOL. 28. ISSUE 3. P. 333 -353 40 100% 10
2 BALADI, V , SMANIA, D , (2012) LINEAR RESPONSE FOR SMOOTH DEFORMATIONS OF GENERIC NONUNIFORMLY HYPERBOLIC UNIMODAL MAPS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 45. ISSUE 6. P. 861-926 45 90% 5
3 FREITAS, ACM , FREITAS, JM , TODD, M , VAIENTI, S , (2016) RARE EVENTS FOR THE MANNEVILLE-POMEAU MAP.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 126. ISSUE 11. P. 3463 -3479 34 100% 1
4 VAN STRIEN, S , (2010) ONE-DIMENSIONAL DYNAMICS IN THE NEW MILLENNIUM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 27. ISSUE 2. P. 557 -588 58 68% 4
5 PINHEIRO, V , (2011) EXPANDING MEASURES.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 28. ISSUE 6. P. 889-939 38 97% 5
6 KELLER, G , (2012) RARE EVENTS, EXPONENTIAL HITTING TIMES AND EXTREMAL INDICES VIA SPECTRAL PERTURBATION.DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL. VOL. 27. ISSUE 1. P. 11-27 35 95% 15
7 LIVERANI, C , TERHESIU, D , (2016) MIXING FOR SOME NON-UNIFORMLY HYPERBOLIC SYSTEMS.ANNALES HENRI POINCARE. VOL. 17. ISSUE 1. P. 179 -226 33 97% 0
8 FREITAS, ACM , FREITAS, JM , TODD, M , (2013) THE COMPOUND POISSON LIMIT RULING PERIODIC EXTREME BEHAVIOUR OF NON-UNIFORMLY HYPERBOLIC DYNAMICS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 321. ISSUE 2. P. 483 -527 35 95% 4
9 BALADI, V , BENEDICKS, M , SCHNELLMANN, D , (2015) WHITNEY-HOLDER CONTINUITY OF THE SRB MEASURE FOR TRANSVERSAL FAMILIES OF SMOOTH UNIMODAL MAPS.INVENTIONES MATHEMATICAE. VOL. 201. ISSUE 3. P. 773 -844 32 91% 2
10 RIVERA-LETELIER, J , SHEN, WX , (2014) STATISTICAL PROPERTIES OF ONE-DIMENSIONAL MAPS UNDER WEAK HYPERBOLICITY ASSUMPTIONS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 47. ISSUE 6. P. 1027 -1083 35 88% 1

Classes with closest relation at Level 1


Rank Class id link
1 8023 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
2 8657 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS
3 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
4 16171 SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS
5 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION
6 6860 LORENTZ GAS//BILLIARDS//ESTAT MATEMAT LICADA COMPUTACAO
7 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
8 19134 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
9 37179 PL MATH BIOSCI MED CAMBAM//CORRECTIONS TO GAUSSIAN BEHAVIOR//DIFFERENTIAL DELAY EQUATION DDE
10 16067 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS

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