Class information for:
Level 1: CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19357 509 19.2 39%


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
12 4 POLYMER SCIENCE//MATERIALS SCIENCE, PAPER & WOOD//CHEMISTRY, PHYSICAL 1084170
240 3       PHYSICS, MATHEMATICAL//JOURNAL OF STATISTICAL PHYSICS//PHYSICAL REVIEW E 47494
2140 2             CONTACT PROCESS//FIRST PASSAGE PERCOLATION//PERCOLATION 5046
19357 1                   CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS 509

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 CUTOFF PHENOMENON authKW 1271122 6% 76% 28
2 CARD SHUFFLING authKW 506905 3% 65% 13
3 BIRTH AND DEATH CHAINS authKW 460820 3% 59% 13
4 INTERCHANGE PROCESS authKW 441740 2% 82% 9
5 STRONG STATIONARY TIME authKW 404927 2% 75% 9
6 RIFFLE SHUFFLE authKW 308517 1% 86% 6
7 FIRST EXCESS LEVEL authKW 299949 1% 100% 5
8 STRONG STATIONARY DUALITY authKW 299949 1% 100% 5
9 UPPER BOUND LEMMA authKW 299949 1% 100% 5
10 CUTOFF PHENOMENA authKW 239959 1% 100% 4

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 Statistics & Probability 14206 41% 0% 207
2 Mathematics 2549 31% 0% 159
3 Mathematics, Applied 1240 20% 0% 104
4 Physics, Mathematical 980 13% 0% 65
5 Computer Science, Theory & Methods 55 4% 0% 18
6 Computer Science, Software Engineering 49 3% 0% 14
7 Physics, Multidisciplinary 20 5% 0% 24
8 Operations Research & Management Science 2 1% 0% 5
9 Automation & Control Systems 2 1% 0% 4
10 Computer Science, Cybernetics 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 DIPARTIMENTO MEMOMAT 122469 1% 29% 7
2 BERKELEY STAT 59990 0% 100% 1
3 CRYPTOG ANTI PIRACY GRP 59990 0% 100% 1
4 FB 12 MATH 59990 0% 100% 1
5 H MILTON STEWART 59990 0% 100% 1
6 HEDDQUARTERS OFF 59990 0% 100% 1
7 PAUL ALLEN COMP SCI ENGN 59990 0% 100% 1
8 QUANTITAT BUSINESS ANAL 39991 0% 33% 2
9 CRYPTOG SECUR PL MATH GRP 29994 0% 50% 1
10 TELEMAT ROMA 29994 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 JOURNAL OF THEORETICAL PROBABILITY 30105 5% 2% 24
2 ANNALS OF APPLIED PROBABILITY 21354 5% 2% 23
3 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 18672 2% 3% 9
4 ANNALS OF PROBABILITY 12613 5% 1% 26
5 ELECTRONIC JOURNAL OF PROBABILITY 9846 3% 1% 13
6 ADVANCES IN APPLIED MATHEMATICS 9376 3% 1% 15
7 ELECTRONIC COMMUNICATIONS IN PROBABILITY 7781 2% 1% 10
8 PROBABILITY THEORY AND RELATED FIELDS 5783 3% 1% 15
9 COMBINATORICS PROBABILITY & COMPUTING 4203 2% 1% 8
10 JOURNAL OF APPLIED PROBABILITY 3870 3% 0% 15

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 CUTOFF PHENOMENON 1271122 6% 76% 28 Search CUTOFF+PHENOMENON Search CUTOFF+PHENOMENON
2 CARD SHUFFLING 506905 3% 65% 13 Search CARD+SHUFFLING Search CARD+SHUFFLING
3 BIRTH AND DEATH CHAINS 460820 3% 59% 13 Search BIRTH+AND+DEATH+CHAINS Search BIRTH+AND+DEATH+CHAINS
4 INTERCHANGE PROCESS 441740 2% 82% 9 Search INTERCHANGE+PROCESS Search INTERCHANGE+PROCESS
5 STRONG STATIONARY TIME 404927 2% 75% 9 Search STRONG+STATIONARY+TIME Search STRONG+STATIONARY+TIME
6 RIFFLE SHUFFLE 308517 1% 86% 6 Search RIFFLE+SHUFFLE Search RIFFLE+SHUFFLE
7 FIRST EXCESS LEVEL 299949 1% 100% 5 Search FIRST+EXCESS+LEVEL Search FIRST+EXCESS+LEVEL
8 STRONG STATIONARY DUALITY 299949 1% 100% 5 Search STRONG+STATIONARY+DUALITY Search STRONG+STATIONARY+DUALITY
9 UPPER BOUND LEMMA 299949 1% 100% 5 Search UPPER+BOUND+LEMMA Search UPPER+BOUND+LEMMA
10 CUTOFF PHENOMENA 239959 1% 100% 4 Search CUTOFF+PHENOMENA Search CUTOFF+PHENOMENA

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 BARRERA, J , YCART, B , (2014) BOUNDS FOR LEFT AND RIGHT WINDOW CUTOFFS.ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS. VOL. 11. ISSUE 2. P. 445 -458 14 100% 1
2 LOREK, P , SZEKLI, R , (2016) STRONG STATIONARY DUALITY FOR MOBIUS MONOTONE MARKOV CHAINS: EXAMPLES.PROBABILITY AND MATHEMATICAL STATISTICS-POLAND. VOL. 36. ISSUE 1. P. 75 -97 15 83% 1
3 D'ANGELI, D , DONNO, A , (2013) THE LUMPABILITY PROPERTY FOR A FAMILY OF MARKOV CHAINS ON POSET BLOCK STRUCTURES.ADVANCES IN APPLIED MATHEMATICS. VOL. 51. ISSUE 3. P. 367-391 16 89% 0
4 GRIFFITHS, R , (2016) LANCASTER DISTRIBUTIONS AND MARKOV CHAINS WITH MULTIVARIATE POISSON-CHARLIER, MEIXNER AND HERMITE-CHEBYCHEFF POLYNOMIAL EIGENFUNCTIONS.JOURNAL OF APPROXIMATION THEORY. VOL. 207. ISSUE . P. 139 -164 13 100% 0
5 DIACONIS, P , FULMAN, J , HOLMES, S , (2013) ANALYSIS OF CASINO SHELF SHUFFLING MACHINES.ANNALS OF APPLIED PROBABILITY. VOL. 23. ISSUE 4. P. 1692-1720 22 58% 1
6 ASSAF, S , DIACONIS, P , SOUNDARARAJAN, K , (2011) A RULE OF THUMB FOR RIFFLE SHUFFLING.ANNALS OF APPLIED PROBABILITY. VOL. 21. ISSUE 3. P. 843 -875 15 83% 2
7 CHEN, GY , SALOFF-COSTE, L , (2015) COMPUTING CUTOFF TIMES OF BIRTH AND DEATH CHAINS.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 20. ISSUE . P. 1 -47 12 92% 1
8 BJORNBERG, JE , (2016) THE FREE ENERGY IN A CLASS OF QUANTUM SPIN SYSTEMS AND INTERCHANGE PROCESSES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 57. ISSUE 7. P. - 14 78% 0
9 SMITH, A , (2017) THE CUTOFF PHENOMENON FOR RANDOM BIRTH AND DEATH CHAINS.RANDOM STRUCTURES & ALGORITHMS. VOL. 50. ISSUE 2. P. 287 -321 14 70% 0
10 SCARABOTTI, F , TOLLI, F , (2010) HARMONIC ANALYSIS ON A FINITE HOMOGENEOUS SPACE.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 100. ISSUE . P. 348 -376 12 92% 4

Classes with closest relation at Level 1


Rank Class id link
1 24204 RANDOM INTERLACEMENTS//COVER TIME//VACANT SET
2 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
3 17331 DOBRUSHIN MATH//GELFAND TSETLIN GRAPH//INFINITE DIMENSIONAL UNITARY GROUP
4 14004 APPROXIMATE COUNTING//PERMANENTAL POLYNOMIAL//PERMANENT
5 25823 HYPERGROUPS//POLYNOMIAL HYPERGROUPS//ISOTROPIC RANDOM WALKS
6 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
7 29075 WIGNER N J SYMBOLS//GENERAL RECOUPLING COEFFICIENT//YUTSIS GRAPH
8 28669 FINITARY ISOMORPHISM//SHIFT COUPLING//PALM MEASURE
9 20018 CRITICAL DROPLET//METASTABILITY//KAWASAKI DYNAMICS
10 35812 LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD

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