Class information for:
Level 1: RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21141 431 16.2 29%


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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
21141 1                   RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS 431

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 RANDOM MAPPINGS authKW 604043 4% 47% 18
2 ADDITIVE ARITHMETIC SEMIGROUP authKW 354234 1% 100% 5
3 CYCLE WEIGHTS authKW 354234 1% 100% 5
4 ADDITIVE ARITHMETICAL SEMIGROUPS authKW 283387 1% 100% 4
5 EXCHANGEABLE IN DEGREES authKW 283387 1% 100% 4
6 FELLER COUPLING authKW 283387 1% 100% 4
7 RANDOM A PERMUTATIONS authKW 283387 1% 100% 4
8 RANDOM PERMUTATION authKW 281751 5% 17% 23
9 CENTRAL AND LOCAL LIMIT THEOREMS authKW 212540 1% 100% 3
10 ERDOS TURAN LAW authKW 212540 1% 100% 3

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 10432 67% 0% 287
2 Statistics & Probability 3753 23% 0% 99
3 Mathematics, Applied 1154 21% 0% 92
4 Computer Science, Software Engineering 422 8% 0% 33
5 Computer Science, Theory & Methods 196 6% 0% 28
6 Logic 38 1% 0% 3
7 Physics, Mathematical 10 2% 0% 9
8 Computer Science, Hardware & Architecture 2 1% 0% 3
9 Computer Science, Information Systems 1 1% 0% 4
10 Multidisciplinary Sciences -0 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 UMR 8636 106267 1% 50% 3
2 AKADEMIJOS 4 70847 0% 100% 1
3 CHAIR MATH COMP SCI 70847 0% 100% 1
4 FRE 2222 STAT PROBABIL 70847 0% 100% 1
5 INS TELIE CARTAN 70847 0% 100% 1
6 INT SEISM PRONOSIS MATH GEOPHYS 70847 0% 100% 1
7 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THEOR 70847 0% 100% 1
8 ST PETERSBOURG 70847 0% 100% 1
9 UFR MATH M2 40481 0% 29% 2
10 CNRSUP A 5028 35422 0% 50% 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 RANDOM STRUCTURES & ALGORITHMS 40883 6% 2% 26
2 RAMANUJAN JOURNAL 30292 5% 2% 21
3 COMBINATORICS PROBABILITY & COMPUTING 15232 3% 2% 14
4 JOURNAL OF COMBINATORIAL THEORY SERIES A 13479 6% 1% 25
5 THEORY OF PROBABILITY AND ITS APPLICATIONS 6105 3% 1% 13
6 JOURNAL OF APPLIED PROBABILITY 5882 4% 0% 17
7 LITHUANIAN MATHEMATICAL JOURNAL 4965 1% 1% 5
8 ELECTRONIC JOURNAL OF COMBINATORICS 4080 3% 0% 12
9 MONATSHEFTE FUR MATHEMATIK 2522 2% 0% 9
10 ACTA MATHEMATICA HUNGARICA 2383 2% 0% 10

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 RANDOM MAPPINGS 604043 4% 47% 18 Search RANDOM+MAPPINGS Search RANDOM+MAPPINGS
2 ADDITIVE ARITHMETIC SEMIGROUP 354234 1% 100% 5 Search ADDITIVE+ARITHMETIC+SEMIGROUP Search ADDITIVE+ARITHMETIC+SEMIGROUP
3 CYCLE WEIGHTS 354234 1% 100% 5 Search CYCLE+WEIGHTS Search CYCLE+WEIGHTS
4 ADDITIVE ARITHMETICAL SEMIGROUPS 283387 1% 100% 4 Search ADDITIVE+ARITHMETICAL+SEMIGROUPS Search ADDITIVE+ARITHMETICAL+SEMIGROUPS
5 EXCHANGEABLE IN DEGREES 283387 1% 100% 4 Search EXCHANGEABLE+IN+DEGREES Search EXCHANGEABLE+IN+DEGREES
6 FELLER COUPLING 283387 1% 100% 4 Search FELLER+COUPLING Search FELLER+COUPLING
7 RANDOM A PERMUTATIONS 283387 1% 100% 4 Search RANDOM+A+PERMUTATIONS Search RANDOM+A+PERMUTATIONS
8 RANDOM PERMUTATION 281751 5% 17% 23 Search RANDOM+PERMUTATION Search RANDOM+PERMUTATION
9 CENTRAL AND LOCAL LIMIT THEOREMS 212540 1% 100% 3 Search CENTRAL+AND+LOCAL+LIMIT+THEOREMS Search CENTRAL+AND+LOCAL+LIMIT+THEOREMS
10 ERDOS TURAN LAW 212540 1% 100% 3 Search ERDOS+TURAN+LAW Search ERDOS+TURAN+LAW

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 BAKSHAJEVA, T , MANSTAVICIUS, E , (2014) ON STATISTICS OF PERMUTATIONS CHOSEN FROM THE EWENS DISTRIBUTION.COMBINATORICS PROBABILITY & COMPUTING. VOL. 23. ISSUE 6. P. 889 -913 15 94% 0
2 STORM, J , ZEINDLER, D , (2016) TOTAL VARIATION DISTANCE AND THE ERDOS-TURAN LAW FOR RANDOM PERMUTATIONS WITH POLYNOMIALLY GROWING CYCLE WEIGHTS.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 52. ISSUE 4. P. 1614 -1640 13 93% 0
3 GRANOVSKY, BL , STARK, D , (2006) ASYMPTOTIC ENUMERATION AND LOGICAL LIMIT LAWS FOR EXPANSIVE MULTISETS AND SELECTIONS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 73. ISSUE . P. 252-272 14 93% 5
4 HANSEN, JC , JAWORSKI, J , (2002) COMPOUND RANDOM MAPPINGS.JOURNAL OF APPLIED PROBABILITY. VOL. 39. ISSUE 4. P. 712-729 15 94% 2
5 HANSEN, JC , JAWORSKI, J , (2013) PREDECESSORS AND SUCCESSORS IN RANDOM MAPPINGS WITH EXCHANGEABLE IN-DEGREES.JOURNAL OF APPLIED PROBABILITY. VOL. 50. ISSUE 3. P. 721-740 11 92% 0
6 HANSEN, JC , JAWORSKI, J , (2009) A RANDOM MAPPING WITH PREFERENTIAL ATTACHMENT.RANDOM STRUCTURES & ALGORITHMS. VOL. 34. ISSUE 1. P. 87-111 12 86% 1
7 ERLIHSON, MM , GRANOVSKY, BL , (2008) LIMIT SHAPES OF GIBBS DISTRIBUTIONS ON THE SET OF INTEGER PARTITIONS: THE EXPANSIVE CASE.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 44. ISSUE 5. P. 915-945 15 68% 8
8 HANSEN, JC , JAWORSKI, J , (2014) STRUCTURAL TRANSITION IN RANDOM MAPPINGS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 21. ISSUE 1. P. - 12 75% 0
9 HANSEN, JC , JAWORSKI, J , (2008) RANDOM MAPPINGS WITH EXCHANGEABLE IN-DEGREES.RANDOM STRUCTURES & ALGORITHMS. VOL. 33. ISSUE 1. P. 105-126 13 76% 1
10 MANSTAVICIUS, E , (2011) STRONG CONVERGENCE ON WEAKLY LOGARITHMIC COMBINATORIAL ASSEMBLIES.DISCRETE MATHEMATICS. VOL. 311. ISSUE 6. P. 463-477 10 91% 1

Classes with closest relation at Level 1


Rank Class id link
1 11002 BINARY SEARCH TREE//CONTRACTION METHOD//RANDOM TREES
2 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
3 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
4 21514 CHAIR QUANTUM STAT FIELD THEORY//BOSE EINSTEIN DISTRIBUTION//NUMBER OF DEGREES OF FREEDOM
5 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
6 21874 ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP
7 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
8 25558 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
9 13494 FINITE MODEL THEORY//DESCRIPTIVE COMPLEXITY//CONSTRAINT DATABASES
10 17331 DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP

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