Class information for:
Level 1: RANDOM INTERLACEMENTS//COVER TIME//VACANT SET

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24204 320 19.6 43%


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
24204 1                   RANDOM INTERLACEMENTS//COVER TIME//VACANT SET 320

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 INTERLACEMENTS authKW 3056323 10% 97% 33
2 COVER TIME authKW 2505250 12% 69% 38
3 VACANT SET authKW 572535 2% 100% 6
4 DISCRETE CYLINDERS authKW 477112 2% 100% 5
5 GAUSSIAN FREE FIELD authKW 335948 4% 27% 13
6 RANDOM WALK authKW 279966 29% 3% 92
7 HITTING TIME authKW 226288 8% 9% 26
8 GEOGRAPHICAL THRESHOLD GRAPHS authKW 190845 1% 100% 2
9 GRAPHICABLE ALGEBRAS authKW 190845 1% 100% 2
10 INTERSECTION OF RANDOM WALKS authKW 190845 1% 100% 2

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 6347 34% 0% 110
2 Computer Science, Theory & Methods 1326 18% 0% 58
3 Mathematics 1313 28% 0% 91
4 Mathematics, Applied 1017 23% 0% 74
5 Computer Science, Software Engineering 591 10% 0% 33
6 Computer Science, Information Systems 348 9% 0% 29
7 Computer Science, Hardware & Architecture 145 4% 0% 13
8 Telecommunications 116 6% 0% 18
9 Physics, Mathematical 66 5% 0% 15
10 Physics, Fluids & Plasmas 9 2% 0% 6

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 PRISM CNRS 190845 1% 100% 2
2 CARO TEAM 95422 0% 100% 1
3 COMP CIENTIF ESTADISTIC 95422 0% 100% 1
4 COMUN SCI COMMUN ENGN 95422 0% 100% 1
5 HEMAT NEUROINFORMAT GRP 95422 0% 100% 1
6 ORB DISTRIBUTED MOBILE COMP 95422 0% 100% 1
7 SOLUT SYST 95422 0% 100% 1
8 EBAY S 76336 1% 40% 2
9 FINANCIAL INFORMAT SYST 47710 0% 50% 1
10 GANG PROJECT 47710 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 26389 6% 2% 18
2 ELECTRONIC JOURNAL OF PROBABILITY 20876 5% 1% 15
3 COMBINATORICS PROBABILITY & COMPUTING 12666 3% 1% 11
4 ELECTRONIC COMMUNICATIONS IN PROBABILITY 12389 3% 1% 10
5 SIAM JOURNAL ON DISCRETE MATHEMATICS 7868 4% 1% 13
6 PROBABILITY THEORY AND RELATED FIELDS 6919 4% 1% 13
7 ANNALS OF PROBABILITY 6675 5% 0% 15
8 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 5864 1% 2% 4
9 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 4969 3% 1% 8
10 ANNALS OF APPLIED PROBABILITY 3139 2% 0% 7

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 INTERLACEMENTS 3056323 10% 97% 33 Search RANDOM+INTERLACEMENTS Search RANDOM+INTERLACEMENTS
2 COVER TIME 2505250 12% 69% 38 Search COVER+TIME Search COVER+TIME
3 VACANT SET 572535 2% 100% 6 Search VACANT+SET Search VACANT+SET
4 DISCRETE CYLINDERS 477112 2% 100% 5 Search DISCRETE+CYLINDERS Search DISCRETE+CYLINDERS
5 GAUSSIAN FREE FIELD 335948 4% 27% 13 Search GAUSSIAN+FREE+FIELD Search GAUSSIAN+FREE+FIELD
6 RANDOM WALK 279966 29% 3% 92 Search RANDOM+WALK Search RANDOM+WALK
7 HITTING TIME 226288 8% 9% 26 Search HITTING+TIME Search HITTING+TIME
8 GEOGRAPHICAL THRESHOLD GRAPHS 190845 1% 100% 2 Search GEOGRAPHICAL+THRESHOLD+GRAPHS Search GEOGRAPHICAL+THRESHOLD+GRAPHS
9 GRAPHICABLE ALGEBRAS 190845 1% 100% 2 Search GRAPHICABLE+ALGEBRAS Search GRAPHICABLE+ALGEBRAS
10 INTERSECTION OF RANDOM WALKS 190845 1% 100% 2 Search INTERSECTION+OF+RANDOM+WALKS Search INTERSECTION+OF+RANDOM+WALKS

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 POPOV, S , TEIXEIRA, A , (2015) SOFT LOCAL TIMES AND DECOUPLING OF RANDOM INTERLACEMENTS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 10. P. 2545 -2593 19 76% 2
2 COMETS, F , POPOV, S , VACHKOVSKAIA, M , (2016) TWO-DIMENSIONAL RANDOM INTERLACEMENTS AND LATE POINTS FOR RANDOM WALKS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 343. ISSUE 1. P. 129 -164 14 100% 0
3 DREWITZ, A , ERHARD, D , (2016) TRANSIENCE OF THE VACANT SET FOR NEAR-CRITICAL RANDOM INTERLACEMENTS IN HIGH DIMENSIONS.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 52. ISSUE 1. P. 84 -101 16 84% 0
4 SZNITMAN, AS , (2017) DISCONNECTION, RANDOM WALKS, AND RANDOM INTERLACEMENTS.PROBABILITY THEORY AND RELATED FIELDS. VOL. 167. ISSUE 1-2. P. 1 -44 12 92% 0
5 BELIUS, D , (2013) GUMBEL FLUCTUATIONS FOR COVER TIMES IN THE DISCRETE TORUS.PROBABILITY THEORY AND RELATED FIELDS. VOL. 157. ISSUE 3-4. P. 635-689 12 92% 6
6 RATH, B , (2015) A SHORT PROOF OF THE PHASE TRANSITION FOR THE VACANT SET OF RANDOM INTERLACEMENTS.ELECTRONIC COMMUNICATIONS IN PROBABILITY. VOL. 20. ISSUE . P. 1 -11 10 100% 0
7 FRIEDRICH, T , SAUERWALD, T , (2010) THE COVER TIME OF DETERMINISTIC RANDOM WALKS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 17. ISSUE 1. P. - 17 65% 2
8 SZNITMAN, AS , (2013) ON SCALING LIMITS AND BROWNIAN INTERLACEMENTS.BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY. VOL. 44. ISSUE 4. P. 555-592 12 86% 1
9 SZNITMAN, AS , (2012) DECOUPLING INEQUALITIES AND INTERLACEMENT PERCOLATION ON G X Z.INVENTIONES MATHEMATICAE. VOL. 187. ISSUE 3. P. 645-706 14 67% 14
10 COOPER, C , FRIEZE, A , (2016) VACANT SETS AND VACANT NETS: COMPONENT STRUCTURES INDUCED BY A RANDOM WALK.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 30. ISSUE 1. P. 166 -205 10 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 19357 CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS
2 7676 CONTACT PROCESS//FIRST PASSAGE PERCOLATION//LACE EXPANSION
3 10493 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
4 13659 RANDOM STRUCTURES & ALGORITHMS//RANDOM GRAPHS//POSITIONAL GAMES
5 11636 SEARCH GAME//GRAPH EXPLORATION//RENDEZVOUS
6 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
7 22027 INFLUENCE MAXIMIZATION//RUMOR SPREADING//FROG MODEL
8 12792 SELF STABILIZATION//SELF STABILIZING ALGORITHM//LEADER ELECTION
9 11654 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS
10 15350 SCHRAMM LOEWNER EVOLUTION//STOCHASTIC LOEWNER EVOLUTION//LOOP ERASED RANDOM WALK

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