Class information for:
Level 1: EXCITED RANDOM WALK//REINFORCED RANDOM WALK//SELF INTERACTING RANDOM WALK

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25853 270 16.4 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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
499 2             FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME 15343
25853 1                   EXCITED RANDOM WALK//REINFORCED RANDOM WALK//SELF INTERACTING RANDOM WALK 270

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 EXCITED RANDOM WALK authKW 1855759 7% 86% 19
2 REINFORCED RANDOM WALK authKW 1031464 9% 40% 23
3 SELF INTERACTING RANDOM WALK authKW 942444 4% 83% 10
4 PERTURBED BROWNIAN MOTION authKW 692697 3% 88% 7
5 COOKIE WALK authKW 565468 2% 100% 5
6 BEREICH M5 address 471222 2% 83% 5
7 VERTEX REINFORCED RANDOM WALK authKW 471222 2% 83% 5
8 MARKOV EXCHANGEABILITY authKW 452375 1% 100% 4
9 REINFORCED PROCESSES authKW 403903 2% 71% 5
10 BRANCHING PROCESS WITH MIGRATION authKW 339281 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 Statistics & Probability 24065 72% 0% 195
2 Mathematics 329 16% 0% 44
3 Mathematics, Applied 73 8% 0% 21
4 Physics, Mathematical 71 5% 0% 14
5 Social Sciences, Mathematical Methods 6 1% 0% 2
6 Psychology, Mathematical 5 0% 0% 1
7 Physics, Multidisciplinary 4 4% 0% 10
8 Mathematical & Computational Biology 1 1% 0% 2
9 Operations Research & Management Science 0 1% 0% 2
10 Mathematics, Interdisciplinary Applications 0 1% 0% 2

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 BEREICH M5 471222 2% 83% 5
2 EX MILYON 113094 0% 100% 1
3 PROBABIL ALEATOI 113094 0% 100% 1
4 STATE PROBABILITES 113094 0% 100% 1
5 MODELISAT STOCHAST STAT 113088 1% 25% 4
6 PROBABILITES MODELES ALEATOI CNRS 56546 0% 50% 1
7 STATE OR 56546 0% 50% 1
8 MODALX 45785 3% 6% 7
9 BIOCOMPLEX BIOINFORMAT 37697 0% 33% 1
10 CNRSUMR 6620 37697 0% 33% 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 PROBABILITY THEORY AND RELATED FIELDS 43776 11% 1% 30
2 ANNALS OF PROBABILITY 36104 12% 1% 32
3 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 33291 7% 2% 19
4 ELECTRONIC JOURNAL OF PROBABILITY 24748 6% 1% 15
5 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 21300 3% 3% 7
6 ELECTRONIC COMMUNICATIONS IN PROBABILITY 21154 4% 2% 12
7 JOURNAL OF THEORETICAL PROBABILITY 6300 3% 1% 8
8 ANNALS OF APPLIED PROBABILITY 4865 3% 1% 8
9 STATISTICS & PROBABILITY LETTERS 4479 6% 0% 17
10 TEST 3700 1% 1% 4

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 EXCITED RANDOM WALK 1855759 7% 86% 19 Search EXCITED+RANDOM+WALK Search EXCITED+RANDOM+WALK
2 REINFORCED RANDOM WALK 1031464 9% 40% 23 Search REINFORCED+RANDOM+WALK Search REINFORCED+RANDOM+WALK
3 SELF INTERACTING RANDOM WALK 942444 4% 83% 10 Search SELF+INTERACTING+RANDOM+WALK Search SELF+INTERACTING+RANDOM+WALK
4 PERTURBED BROWNIAN MOTION 692697 3% 88% 7 Search PERTURBED+BROWNIAN+MOTION Search PERTURBED+BROWNIAN+MOTION
5 COOKIE WALK 565468 2% 100% 5 Search COOKIE+WALK Search COOKIE+WALK
6 VERTEX REINFORCED RANDOM WALK 471222 2% 83% 5 Search VERTEX+REINFORCED+RANDOM+WALK Search VERTEX+REINFORCED+RANDOM+WALK
7 MARKOV EXCHANGEABILITY 452375 1% 100% 4 Search MARKOV+EXCHANGEABILITY Search MARKOV+EXCHANGEABILITY
8 REINFORCED PROCESSES 403903 2% 71% 5 Search REINFORCED+PROCESSES Search REINFORCED+PROCESSES
9 BRANCHING PROCESS WITH MIGRATION 339281 1% 100% 3 Search BRANCHING+PROCESS+WITH+MIGRATION Search BRANCHING+PROCESS+WITH+MIGRATION
10 DE FINETTI STYLE THEOREMS 339281 1% 100% 3 Search DE+FINETTI+STYLE+THEOREMS Search DE+FINETTI+STYLE+THEOREMS

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 MOUNTFORD, T , TARRES, P , (2008) AN ASYMPTOTIC RESULT FOR BROWNIAN POLYMERS.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 44. ISSUE 1. P. 29-46 29 88% 10
2 SABOT, C , TARRES, P , (2015) EDGE-REINFORCED RANDOM WALK, VERTEX-REINFORCED JUMP PROCESS AND THE SUPERSYMMETRIC HYPERBOLIC SIGMA MODEL.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 9. P. 2353 -2378 22 81% 3
3 RAIMOND, O , SCHAPIRA, B , (2011) EXCITED BROWNIAN MOTIONS.ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS. VOL. 8. ISSUE . P. 19-41 18 95% 1
4 RAIMOND, O , SCHAPIRA, B , (2012) EXCITED BROWNIAN MOTIONS AS LIMITS OF EXCITED RANDOM WALKS.PROBABILITY THEORY AND RELATED FIELDS. VOL. 154. ISSUE 3-4. P. 875-909 15 88% 1
5 BENAIM, M , RAIMOND, O , SCHAPIRA, B , (2013) STRONGLY VERTEX-REINFORCED-RANDOM-WALK ON A COMPLETE GRAPH.ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS. VOL. 10. ISSUE 2. P. 767 -782 12 92% 3
6 PERES, Y , SCHAPIRA, B , SOUSI, P , (2016) MARTINGALE DEFOCUSING AND TRANSIENCE OF A SELF-INTERACTING RANDOM WALK.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 52. ISSUE 3. P. 1009 -1022 11 92% 0
7 SCHAPIRA, B , (2012) A 0-1 LAW FOR VERTEX-REINFORCED RANDOM WALKS ON Z WITH WEIGHT OF ORDER K(ALPHA), ALPHA < 1/2.ELECTRONIC COMMUNICATIONS IN PROBABILITY. VOL. 17. ISSUE . P. 1 -8 10 100% 4
8 DOLGOPYAT, D , KOSYGINA, E , (2012) SCALING LIMITS OF RECURRENT EXCITED RANDOM WALKS ON INTEGERS.ELECTRONIC COMMUNICATIONS IN PROBABILITY. VOL. 17. ISSUE . P. 1-14 11 92% 1
9 AMIR, G , BERGER, N , ORENSHTEIN, T , (2016) ZERO-ONE LAW FOR DIRECTIONAL TRANSIENCE OF ONE DIMENSIONAL EXCITED RANDOM WALKS.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 52. ISSUE 1. P. 47 -57 9 100% 0
10 AMIR, G , ORENSHTEIN, T , (2016) EXCITED MOB.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 126. ISSUE 2. P. 439 -469 9 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 11654 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS
2 28341 TELEGRAPH PROCESS//RANDOM FLIGHTS//JUMP TELEGRAPH PROCESS
3 21686 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
4 7281 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION
5 7897 DIRICHLET PROCESS//BAYESIAN NONPARAMETRICS//NONPARAMETRIC BAYES
6 19884 MATSUMOTO YOR PROPERTY//BOUGEROLS IDENTITY//EXPONENTIAL BROWNIAN FUNCTIONALS
7 31043 EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE
8 25408 WEAKLY STABLE DISTRIBUTION//SYMMETRIC STABLE DISTRIBUTION//RISK UNBIASEDNESS
9 37535 EGGENBERGER POLYA//METEOR PROCESS//MIXED RENEWAL PROCESS
10 10493 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME

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