Class information for:
Level 1: CONTACT PROCESS//FIRST PASSAGE PERCOLATION//LACE EXPANSION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7676 1340 18.1 48%


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
7676 1                   CONTACT PROCESS//FIRST PASSAGE PERCOLATION//LACE EXPANSION 1340

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 CONTACT PROCESS authKW 1657247 9% 59% 123
2 FIRST PASSAGE PERCOLATION authKW 1383383 6% 71% 85
3 LACE EXPANSION authKW 468732 2% 86% 24
4 BROWNIAN WEB authKW 434016 1% 95% 20
5 LONG RANGE PERCOLATION authKW 372161 2% 78% 21
6 ORIENTED PERCOLATION authKW 350053 2% 59% 26
7 INCIPIENT INFINITE CLUSTER authKW 320425 1% 94% 15
8 CRITICAL PERCOLATION authKW 303799 1% 67% 20
9 PERCOLATION authKW 269468 13% 7% 179
10 ANNALS OF PROBABILITY journal 253841 14% 6% 189

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 81339 60% 0% 800
2 Physics, Mathematical 4299 16% 0% 218
3 Mathematics 2427 19% 0% 261
4 Mathematics, Applied 334 8% 0% 101
5 Computer Science, Software Engineering 304 4% 0% 53
6 Computer Science, Theory & Methods 134 3% 0% 46
7 Mathematical & Computational Biology 5 1% 0% 9
8 Physics, Multidisciplinary 2 2% 0% 33
9 Social Sciences, Mathematical Methods 0 0% 0% 3
10 Logic 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 STIELTJES MATH 72913 0% 80% 4
2 ELIE CARTAN NANCY MATH 51781 0% 45% 5
3 ENGN MATH PL HODOGAYA KU 22786 0% 100% 1
4 EXACTE WETEN PEN MATH 22786 0% 100% 1
5 INFORMAT THEORY AUTOMAT ASCR UTIA 22786 0% 100% 1
6 LATP URA CNRS 225 22786 0% 100% 1
7 MATH DRB 155 22786 0% 100% 1
8 RD DAC OA 22786 0% 100% 1
9 SECT STOCHASTIEK 22786 0% 100% 1
10 THEORY STOCHAST PROC 22786 0% 100% 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 ANNALS OF PROBABILITY 253841 14% 6% 189
2 ELECTRONIC JOURNAL OF PROBABILITY 99472 5% 7% 67
3 ANNALS OF APPLIED PROBABILITY 70917 5% 5% 68
4 PROBABILITY THEORY AND RELATED FIELDS 64227 6% 3% 81
5 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 50436 2% 9% 24
6 RANDOM STRUCTURES & ALGORITHMS 48592 4% 4% 50
7 ELECTRONIC COMMUNICATIONS IN PROBABILITY 44994 3% 5% 39
8 JOURNAL OF STATISTICAL PHYSICS 36941 8% 1% 113
9 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 26609 5% 2% 63
10 ADVANCES IN APPLIED PROBABILITY 25975 4% 2% 47

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 CONTACT PROCESS 1657247 9% 59% 123 Search CONTACT+PROCESS Search CONTACT+PROCESS
2 FIRST PASSAGE PERCOLATION 1383383 6% 71% 85 Search FIRST+PASSAGE+PERCOLATION Search FIRST+PASSAGE+PERCOLATION
3 LACE EXPANSION 468732 2% 86% 24 Search LACE+EXPANSION Search LACE+EXPANSION
4 BROWNIAN WEB 434016 1% 95% 20 Search BROWNIAN+WEB Search BROWNIAN+WEB
5 LONG RANGE PERCOLATION 372161 2% 78% 21 Search LONG+RANGE+PERCOLATION Search LONG+RANGE+PERCOLATION
6 ORIENTED PERCOLATION 350053 2% 59% 26 Search ORIENTED+PERCOLATION Search ORIENTED+PERCOLATION
7 INCIPIENT INFINITE CLUSTER 320425 1% 94% 15 Search INCIPIENT+INFINITE+CLUSTER Search INCIPIENT+INFINITE+CLUSTER
8 CRITICAL PERCOLATION 303799 1% 67% 20 Search CRITICAL+PERCOLATION Search CRITICAL+PERCOLATION
9 PERCOLATION 269468 13% 7% 179 Search PERCOLATION Search PERCOLATION
10 MEAN FIELD BEHAVIOR 250645 1% 100% 11 Search MEAN+FIELD+BEHAVIOR Search MEAN+FIELD+BEHAVIOR

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 PICARD, J , (2006) THE LACE EXPANSION AND ITS APPLICATIONS - ECOLE D'ETE DE PROBABILITES DE SAINT-FLOUR XXXIV - 2004..LACE EXPANSION AND ITS APPLICATIONS. VOL. 1879. ISSUE . P. XI -+ 65 53% 0
2 VAN DER HOFSTAD, R , HOLMES, M , (2013) THE SURVIVAL PROBABILITY AND R-POINT FUNCTIONS IN HIGH DIMENSIONS.ANNALS OF MATHEMATICS. VOL. 178. ISSUE 2. P. 665-685 30 94% 0
3 VAN DER HOFSTAD, R , HOLMES, M , PERKINS, EA , (2017) A CRITERION FOR CONVERGENCE TO SUPER-BROWNIAN MOTION ON PATH SPACE.ANNALS OF PROBABILITY. VOL. 45. ISSUE 1. P. 278 -376 27 90% 0
4 SCHONMANN, RH , (2001) MULTIPLICITY OF PHASE TRANSITIONS AND MEAN-FIELD CRITICALITY ON HIGHLY NON-AMENABLE GRAPHS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 219. ISSUE 2. P. 271 -322 47 70% 37
5 KOZMA, G , NACHMIAS, A , (2011) ARM EXPONENTS IN HIGH DIMENSIONAL PERCOLATION.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 24. ISSUE 2. P. 375-409 24 92% 12
6 HAGGSTROM, O , (2011) PERCOLATION BEYOND Z(D): THE CONTRIBUTIONS OF ODED SCHRAMM.ANNALS OF PROBABILITY. VOL. 39. ISSUE 5. P. 1668-1701 32 67% 2
7 DAMRON, M , HANSON, J , (2014) BUSEMANN FUNCTIONS AND INFINITE GEODESICS IN TWO-DIMENSIONAL FIRST-PASSAGE PERCOLATION.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 325. ISSUE 3. P. 917-963 21 88% 8
8 HEYDENREICH, M , VAN DER HOFSTAD, R , HULSHOF, T , (2014) HIGH-DIMENSIONAL INCIPIENT INFINITE CLUSTERS REVISITED.JOURNAL OF STATISTICAL PHYSICS. VOL. 155. ISSUE 5. P. 966 -1025 24 77% 1
9 DAMRON, M , HANSON, J , (2017) BIGEODESICS IN FIRST-PASSAGE PERCOLATION.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 349. ISSUE 2. P. 753 -776 19 90% 0
10 ALM, SE , DEIJFEN, M , (2015) FIRST PASSAGE PERCOLATION ON : A SIMULATION STUDY.JOURNAL OF STATISTICAL PHYSICS. VOL. 161. ISSUE 3. P. 657 -678 19 90% 0

Classes with closest relation at Level 1


Rank Class id link
1 15350 SCHRAMM LOEWNER EVOLUTION//STOCHASTIC LOEWNER EVOLUTION//LOOP ERASED RANDOM WALK
2 24204 RANDOM INTERLACEMENTS//COVER TIME//VACANT SET
3 11654 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS
4 7833 NON GIBBSIAN MEASURES//ENTROPIC REPULSION//JOURNAL OF STATISTICAL PHYSICS
5 28669 FINITARY ISOMORPHISM//SHIFT COUPLING//PALM MEASURE
6 13659 RANDOM STRUCTURES & ALGORITHMS//RANDOM GRAPHS//POSITIONAL GAMES
7 12531 EXPLOSIVE PERCOLATION//IFB//MINERVA
8 20237 RANDOM TESSELLATION//TYPICAL CELL//POISSON VORONOI TESSELLATION
9 20397 BOOTSTRAP PERCOLATION//FEEDBACK VERTEX SET//DYNAMIC MONOPOLIES
10 22027 INFLUENCE MAXIMIZATION//RUMOR SPREADING//FROG MODEL

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