Class information for:
Level 1: DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17331 605 22.3 38%


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
2388 2             RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX 4248
17331 1                   DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP 605

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 DOBRUSHIN MATH address 642815 4% 58% 22
2 GELFAND TSETLIN GRAPH authKW 353293 1% 100% 7
3 INFINITE DIMENSIONAL UNITARY GROUP authKW 302823 1% 100% 6
4 CHARACTER RATIO authKW 259561 1% 86% 6
5 KEROV POLYNOMIALS authKW 252352 1% 100% 5
6 FACTOR REPRESENTATION authKW 247301 1% 70% 7
7 PLANCHEREL MEASURE authKW 241255 2% 34% 14
8 INFINITE SYMMETRIC GROUP authKW 234869 2% 42% 11
9 HOOK LENGTH FORMULA authKW 227114 1% 75% 6
10 LAST PASSAGE PERCOLATION authKW 169621 2% 31% 11

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 14728 67% 0% 404
2 Statistics & Probability 3380 19% 0% 112
3 Mathematics, Applied 1458 20% 0% 123
4 Physics, Mathematical 475 8% 0% 51
5 Computer Science, Theory & Methods 42 3% 0% 18
6 Multidisciplinary Sciences 24 1% 0% 8
7 COMPUTER APPLICATIONS & CYBERNETICS 17 0% 0% 1
8 Computer Science, Software Engineering 5 1% 0% 7
9 Computer Science, Hardware & Architecture 0 0% 0% 2
10 Computer Science, Information Systems 0 1% 0% 4

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 DOBRUSHIN MATH 642815 4% 58% 22
2 GASPARD MONGE ELECT COMP SCI 100941 0% 100% 2
3 INFORMAT TRANSMISS PROBLEMS 64056 6% 3% 39
4 ABT ANGEW STOCHAST 50470 0% 100% 1
5 CNRS MATH MARSEILLE 50470 0% 100% 1
6 M MO FDP 50470 0% 100% 1
7 TELECOM ENGN PROGRAM 50470 0% 100% 1
8 VERKIN PHYS ENGN LOW TEMP FTINT 50470 0% 100% 1
9 MATH PL PARIS 5 34936 0% 23% 3
10 COMBINATORICS 25234 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 NATO SCIENCE SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY 126171 1% 50% 5
2 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 44348 6% 2% 39
3 JOURNAL OF ALGEBRAIC COMBINATORICS 10128 2% 1% 15
4 PROBABILITY THEORY AND RELATED FIELDS 8655 3% 1% 20
5 JOURNAL OF COMBINATORIAL THEORY SERIES A 7420 4% 1% 22
6 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 7417 3% 1% 21
7 MOSCOW MATHEMATICAL JOURNAL 7269 1% 2% 9
8 ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS 6268 2% 1% 11
9 ADVANCES IN MATHEMATICS 6188 4% 1% 24
10 ELECTRONIC JOURNAL OF PROBABILITY 5925 2% 1% 11

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 GELFAND TSETLIN GRAPH 353293 1% 100% 7 Search GELFAND+TSETLIN+GRAPH Search GELFAND+TSETLIN+GRAPH
2 INFINITE DIMENSIONAL UNITARY GROUP 302823 1% 100% 6 Search INFINITE+DIMENSIONAL+UNITARY+GROUP Search INFINITE+DIMENSIONAL+UNITARY+GROUP
3 CHARACTER RATIO 259561 1% 86% 6 Search CHARACTER+RATIO Search CHARACTER+RATIO
4 KEROV POLYNOMIALS 252352 1% 100% 5 Search KEROV+POLYNOMIALS Search KEROV+POLYNOMIALS
5 FACTOR REPRESENTATION 247301 1% 70% 7 Search FACTOR+REPRESENTATION Search FACTOR+REPRESENTATION
6 PLANCHEREL MEASURE 241255 2% 34% 14 Search PLANCHEREL+MEASURE Search PLANCHEREL+MEASURE
7 INFINITE SYMMETRIC GROUP 234869 2% 42% 11 Search INFINITE+SYMMETRIC+GROUP Search INFINITE+SYMMETRIC+GROUP
8 HOOK LENGTH FORMULA 227114 1% 75% 6 Search HOOK+LENGTH+FORMULA Search HOOK+LENGTH+FORMULA
9 LAST PASSAGE PERCOLATION 169621 2% 31% 11 Search LAST+PASSAGE+PERCOLATION Search LAST+PASSAGE+PERCOLATION
10 DETERMINANTAL POINT PROCESS 162146 2% 23% 14 Search DETERMINANTAL+POINT+PROCESS Search DETERMINANTAL+POINT+PROCESS

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 PETROV, L , (2013) SL(2) OPERATORS AND MARKOV PROCESSES ON BRANCHING GRAPHS.JOURNAL OF ALGEBRAIC COMBINATORICS. VOL. 38. ISSUE 3. P. 663-720 31 67% 1
2 BUFETOV, A , PETROV, L , (2015) LAW OF LARGE NUMBERS FOR INFINITE RANDOM MATRICES OVER A FINITE FIELD.SELECTA MATHEMATICA-NEW SERIES. VOL. 21. ISSUE 4. P. 1271 -1338 26 74% 0
3 DOLEGA, M , FERAY, V , (2016) GAUSSIAN FLUCTUATIONS OF YOUNG DIAGRAMS AND STRUCTURE CONSTANTS OF JACK CHARACTERS.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 7. P. 1193 -1282 25 58% 2
4 BORODIN, A , OLSHANSKI, G , (2013) THE YOUNG BOUQUET AND ITS BOUNDARY.MOSCOW MATHEMATICAL JOURNAL. VOL. 13. ISSUE 2. P. 193 -232 17 94% 8
5 BUFETOV, A , GORIN, V , (2015) REPRESENTATIONS OF CLASSICAL LIE GROUPS AND QUANTIZED FREE CONVOLUTION.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 25. ISSUE 3. P. 763 -814 24 65% 0
6 NERETIN, YA , (2015) INFINITE-DIMENSIONAL P-ADIC GROUPS, SEMIGROUPS OF DOUBLE COSETS, AND INNER FUNCTIONS ON BRUHAT-TITS BUILDINGS.IZVESTIYA MATHEMATICS. VOL. 79. ISSUE 3. P. 512 -553 14 100% 2
7 BORODIN, A , FERRARI, PL , (2014) ANISOTROPIC GROWTH OF RANDOM SURFACES IN 2+1 DIMENSIONS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 325. ISSUE 2. P. 603-684 26 48% 16
8 PETROV, L , (2010) RANDOM STRICT PARTITIONS AND DETERMINANTAL POINT PROCESSES.ELECTRONIC COMMUNICATIONS IN PROBABILITY. VOL. 15. ISSUE . P. 162 -175 16 94% 0
9 PETROV, L , (2014) ASYMPTOTICS OF RANDOM LOZENGE TILINGS VIA GELFAND-TSETLIN SCHEMES.PROBABILITY THEORY AND RELATED FIELDS. VOL. 160. ISSUE 3-4. P. 429 -487 18 72% 4
10 BORODIN, A , GORIN, V , (2013) MARKOV PROCESSES OF INFINITELY MANY NONINTERSECTING RANDOM WALKS.PROBABILITY THEORY AND RELATED FIELDS. VOL. 155. ISSUE 3-4. P. 935 -997 16 80% 5

Classes with closest relation at Level 1


Rank Class id link
1 3500 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//LIMITING SPECTRAL DISTRIBUTION
2 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
3 4212 EXCLUSION PROCESS//ZERO RANGE PROCESS//DRIVEN DIFFUSIVE SYSTEMS THEORY
4 19357 CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS
5 22718 FOR UNGSZENTRUM BIBOS//BIBOS//EUCLIDEAN GIBBS STATES
6 21874 ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP
7 30347 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM
8 15350 SCHRAMM LOEWNER EVOLUTION//STOCHASTIC LOEWNER EVOLUTION//LOOP ERASED RANDOM WALK
9 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
10 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY

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