Class information for:
Level 1: RANDOM MAPPINGS//CYCLE WEIGHTS//NATURAL DIVISOR

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
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
1756 2             STIRLING NUMBERS//BERNOULLI POLYNOMIALS//GENERATING FUNCTION 6787
21059 1                   RANDOM MAPPINGS//CYCLE WEIGHTS//NATURAL DIVISOR 458

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RANDOM MAPPINGS authKW 636942 4% 49% 19
2 CYCLE WEIGHTS authKW 412878 1% 100% 6
3 NATURAL DIVISOR authKW 344065 1% 100% 5
4 RANDOM PERMUTATION authKW 309370 5% 18% 25
5 EXCHANGEABLE IN DEGREES authKW 275252 1% 100% 4
6 FELLER COUPLING authKW 275252 1% 100% 4
7 GENERALIZED ALLOCATION SCHEME authKW 275252 1% 100% 4
8 QUASI BINOMIAL DISTRIBUTIONS authKW 275252 1% 100% 4
9 RANDOM A PERMUTATIONS authKW 275252 1% 100% 4
10 CENTRAL AND LOCAL LIMIT THEOREMS authKW 206439 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 8003 57% 0% 261
2 Statistics & Probability 4953 26% 0% 117
3 Mathematics, Applied 1074 20% 0% 92
4 Physics, Mathematical 503 10% 0% 45
5 Computer Science, Software Engineering 369 7% 0% 32
6 Computer Science, Theory & Methods 105 5% 0% 22
7 Logic 65 1% 0% 4
8 Computer Science, Hardware & Architecture 2 1% 0% 3
9 Multidisciplinary Sciences 0 0% 0% 2
10 Computer Science, Information Systems -0 1% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH STAT PROBABIL 77411 1% 38% 3
2 AKADEMIJOS 4 68813 0% 100% 1
3 CHAIR MATH COMP SCI 68813 0% 100% 1
4 INS TELIE CARTAN 68813 0% 100% 1
5 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THEOR 68813 0% 100% 1
6 CNRSUP A 5028 34406 0% 50% 1
7 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THEO 34406 0% 50% 1
8 JOHN KNOPFMACHER PLICABLE ANAL THEORY 34406 0% 50% 1
9 MAXWELL INSITUTE MATH SCI 34406 0% 50% 1
10 ACTUARIAL MATH STAT 32579 2% 5% 9

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RANDOM STRUCTURES & ALGORITHMS 38585 6% 2% 26
2 RAMANUJAN JOURNAL 28294 5% 2% 21
3 LITHUANIAN MATHEMATICAL JOURNAL 17716 2% 3% 10
4 COMBINATORICS PROBABILITY & COMPUTING 14260 3% 1% 14
5 JOURNAL OF COMBINATORIAL THEORY SERIES A 8216 4% 1% 20
6 JOURNAL OF APPLIED PROBABILITY 4960 3% 0% 16
7 THEORY OF PROBABILITY AND ITS APPLICATIONS 4137 2% 1% 11
8 ACTA ARITHMETICA 4094 3% 0% 14
9 ELECTRONIC JOURNAL OF PROBABILITY 3913 2% 1% 8
10 ACTA MATHEMATICA HUNGARICA 3281 3% 0% 12

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RANDOM MAPPINGS 636942 4% 49% 19 Search RANDOM+MAPPINGS Search RANDOM+MAPPINGS
2 CYCLE WEIGHTS 412878 1% 100% 6 Search CYCLE+WEIGHTS Search CYCLE+WEIGHTS
3 NATURAL DIVISOR 344065 1% 100% 5 Search NATURAL+DIVISOR Search NATURAL+DIVISOR
4 RANDOM PERMUTATION 309370 5% 18% 25 Search RANDOM+PERMUTATION Search RANDOM+PERMUTATION
5 EXCHANGEABLE IN DEGREES 275252 1% 100% 4 Search EXCHANGEABLE+IN+DEGREES Search EXCHANGEABLE+IN+DEGREES
6 FELLER COUPLING 275252 1% 100% 4 Search FELLER+COUPLING Search FELLER+COUPLING
7 GENERALIZED ALLOCATION SCHEME 275252 1% 100% 4 Search GENERALIZED+ALLOCATION+SCHEME Search GENERALIZED+ALLOCATION+SCHEME
8 QUASI BINOMIAL DISTRIBUTIONS 275252 1% 100% 4 Search QUASI+BINOMIAL+DISTRIBUTIONS Search QUASI+BINOMIAL+DISTRIBUTIONS
9 RANDOM A PERMUTATIONS 275252 1% 100% 4 Search RANDOM+A+PERMUTATIONS Search RANDOM+A+PERMUTATIONS
10 CENTRAL AND LOCAL LIMIT THEOREMS 206439 1% 100% 3 Search CENTRAL+AND+LOCAL+LIMIT+THEOREMS Search CENTRAL+AND+LOCAL+LIMIT+THEOREMS

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 10184 CONTRACTION METHOD//RANDOM TREES//BINARY SEARCH TREE
2 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
3 13128 WRIGHT FISHER MODEL//POISSON DIRICHLET DISTRIBUTION//LAMBDA COALESCENT
4 18237 POLYNOMIAL FACTORIZATION//COMBINATORICS ON POLYNOMIALS//ABSOLUTE IRREDUCIBILITY
5 16876 APPROXIMATING HAMILTONIAN METHOD//GENERALIZED BOSE EINSTEIN CONDENSATION//BOGOLIUBOV WEAKLY IMPERFECT GAS
6 21256 BOSE EINSTEIN DISTRIBUTION//CHAIR QUANTUM STAT FIELD THEORY//NUMBER OF DEGREES OF FREEDOM
7 33389 ITERATION DIGRAPH//CARMICHAEL LAMBDA FUNCTION//CUBIC MAPPING GRAPH
8 25810 PIECEWISE ISOMETRY//PIECEWISE ISOMETRIES//TWOS COMPLEMENT ARITHMETIC
9 18633 COVER TIME//CUTOFF PHENOMENON//BIRTH AND DEATH CHAINS
10 16520 CONSTRUCTIVE RECOGNITION//BLACK BOX GROUPS//MATRIX GROUP RECOGNITION

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