Class information for:
Level 1: DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR

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
865 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET 11703
4572 1                   DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR 1790

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DECAY OF CORRELATIONS authKW 641944 3% 65% 56
2 ABSOLUTELY CONTINUOUS INVARIANT MEASURES authKW 517574 2% 70% 42
3 FROBENIUS PERRON OPERATOR authKW 436114 3% 52% 48
4 TRANSFER OPERATOR authKW 391156 3% 37% 60
5 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 240293 10% 7% 184
6 INFINITE ERGODIC THEORY authKW 208479 1% 79% 15
7 RANDOM MAPS authKW 189334 1% 49% 22
8 LORENTZ GAS authKW 174627 1% 40% 25
9 RETURN TIME authKW 166687 1% 38% 25
10 ULAMS METHOD authKW 146708 1% 83% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Physics, Mathematical 33212 38% 0% 681
2 Mathematics, Applied 19265 41% 0% 740
3 Mathematics 18661 44% 0% 795
4 Statistics & Probability 1435 7% 0% 132
5 Physics, Multidisciplinary 602 10% 0% 178
6 Mathematics, Interdisciplinary Applications 361 4% 0% 66
7 Physics, Fluids & Plasmas 319 4% 0% 68
8 History & Philosophy of Science 66 1% 0% 14
9 Mechanics 0 1% 0% 23
10 Multidisciplinary Sciences -0 0% 0% 5

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ABC MATH PROGRAM 71883 0% 58% 7
2 MATEMAT ESTADIST PROF ING RAFAEL LAGUARDIA 61612 0% 50% 7
3 FEDERAT RECH UNITES MATH MARSEILLE 47917 0% 39% 7
4 SE PL ANAL 41720 0% 30% 8
5 FEDEDERAT RECH UNITES MATH MARSEILLE 35211 0% 100% 2
6 GRP STOCHAST 35211 0% 100% 2
7 CNRSUMR 6205 35207 0% 50% 4
8 MATEMAT ESTADIST IMERL 31687 0% 60% 3
9 INFN BOLOGNA 29336 0% 33% 5
10 FRUMAM 27469 0% 20% 8

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 240293 10% 7% 184
2 NONLINEARITY 131129 9% 5% 158
3 STOCHASTICS AND DYNAMICS 50681 2% 8% 35
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 38682 5% 3% 88
5 COMMUNICATIONS IN MATHEMATICAL PHYSICS 31457 7% 1% 122
6 JOURNAL OF STATISTICAL PHYSICS 26378 6% 1% 110
7 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 18978 1% 5% 22
8 CHAOS 12825 3% 1% 53
9 JOURNAL OF MODERN DYNAMICS 5803 1% 4% 9
10 ISRAEL JOURNAL OF MATHEMATICS 4639 2% 1% 32

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DECAY OF CORRELATIONS 641944 3% 65% 56 Search DECAY+OF+CORRELATIONS Search DECAY+OF+CORRELATIONS
2 ABSOLUTELY CONTINUOUS INVARIANT MEASURES 517574 2% 70% 42 Search ABSOLUTELY+CONTINUOUS+INVARIANT+MEASURES Search ABSOLUTELY+CONTINUOUS+INVARIANT+MEASURES
3 FROBENIUS PERRON OPERATOR 436114 3% 52% 48 Search FROBENIUS+PERRON+OPERATOR Search FROBENIUS+PERRON+OPERATOR
4 TRANSFER OPERATOR 391156 3% 37% 60 Search TRANSFER+OPERATOR Search TRANSFER+OPERATOR
5 INFINITE ERGODIC THEORY 208479 1% 79% 15 Search INFINITE+ERGODIC+THEORY Search INFINITE+ERGODIC+THEORY
6 RANDOM MAPS 189334 1% 49% 22 Search RANDOM+MAPS Search RANDOM+MAPS
7 LORENTZ GAS 174627 1% 40% 25 Search LORENTZ+GAS Search LORENTZ+GAS
8 RETURN TIME 166687 1% 38% 25 Search RETURN+TIME Search RETURN+TIME
9 ULAMS METHOD 146708 1% 83% 10 Search ULAMS+METHOD Search ULAMS+METHOD
10 DISPERSING BILLIARDS 140843 0% 100% 8 Search DISPERSING+BILLIARDS Search DISPERSING+BILLIARDS

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 38105 PL MATH BIOSCI MED CAMBAM//CORRECTIONS TO GAUSSIAN BEHAVIOR//DIFFERENTIAL DELAY EQUATION DDE
2 6991 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
3 18437 CONTINUED FRACTIONS//LUROTH SERIES//OPPENHEIM SERIES EXPANSION
4 4710 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS
5 17496 FERMI ACCELERATION//ESTAT MATEMAT LICADA COMP//ESTAT MATEMAT LICADA COMPUTACAO
6 25810 PIECEWISE ISOMETRY//PIECEWISE ISOMETRIES//TWOS COMPLEMENT ARITHMETIC
7 24299 CHAINS WITH COMPLETE CONNECTIONS//CHAINS OF INFINITE ORDER//SCI PL RENNES
8 20271 MARTINGALE APPROXIMATION//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
9 3186 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
10 23297 OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS

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