Class information for:
Level 1: RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
11654 964 19.6 45%



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
11654 1                   RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS 964

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 WALK IN RANDOM ENVIRONMENT authKW 1835961 9% 71% 82
2 RANDOM ENVIRONMENT authKW 1086521 12% 29% 117
3 RANDOM WALKS IN RANDOM ENVIRONMENTS authKW 651576 2% 86% 24
4 PARABOLIC ANDERSON MODEL authKW 535275 3% 65% 26
5 TRAP MODELS authKW 419213 2% 88% 15
6 RANDOM POTENTIAL authKW 407061 3% 46% 28
7 RANDOM CONDUCTANCE MODEL authKW 382351 1% 93% 13
8 RWRE authKW 350850 1% 92% 12
9 RANDOM CONDUCTANCES authKW 319379 1% 92% 11
10 STOCHASTIC HOMOGENIZATION authKW 316702 3% 33% 30

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 53589 57% 0% 551
2 Physics, Mathematical 2661 15% 0% 146
3 Mathematics 2276 22% 0% 212
4 Mathematics, Applied 743 12% 0% 117
5 Mathematics, Interdisciplinary Applications 26 2% 0% 16
6 Mechanics 1 1% 0% 14
7 Demography 0 0% 0% 1
8 Engineering, Ocean 0 0% 0% 1
9 Social Sciences, Mathematical Methods -0 0% 0% 1
10 Engineering, General -0 0% 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 MATHERIALS TEAM 42231 0% 67% 2
2 TEAM MEPHYSTO 42231 0% 67% 2
3 PROJECT TEAM SIMPAF 39310 1% 21% 6
4 CNRS UMR5208 35630 0% 38% 3
5 L T 35630 0% 38% 3
6 ANAL TOPOL PROBABILCMI 31674 0% 100% 1
7 CHAIR PROBABIL THEORY M14 31674 0% 100% 1
8 CHEM B040 31674 0% 100% 1
9 DIPARTEMENTO MATEMAT 31674 0% 100% 1
10 DIPARTIMENTO STAT PROIBABIL STAT PL 31674 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 PROBABILITY THEORY AND RELATED FIELDS 117802 10% 4% 93
2 ANNALS OF PROBABILITY 110942 11% 3% 106
3 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 105787 7% 5% 64
4 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 70127 2% 9% 24
5 ELECTRONIC JOURNAL OF PROBABILITY 68039 5% 5% 47
6 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 37037 7% 2% 63
7 ELECTRONIC COMMUNICATIONS IN PROBABILITY 23678 2% 3% 24
8 MARKOV PROCESSES AND RELATED FIELDS 20696 1% 6% 11
9 JOURNAL OF STATISTICAL PHYSICS 11690 6% 1% 54
10 ANNALS OF APPLIED PROBABILITY 8504 2% 1% 20

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 WALK IN RANDOM ENVIRONMENT 1835961 9% 71% 82 Search RANDOM+WALK+IN+RANDOM+ENVIRONMENT Search RANDOM+WALK+IN+RANDOM+ENVIRONMENT
2 RANDOM ENVIRONMENT 1086521 12% 29% 117 Search RANDOM+ENVIRONMENT Search RANDOM+ENVIRONMENT
3 RANDOM WALKS IN RANDOM ENVIRONMENTS 651576 2% 86% 24 Search RANDOM+WALKS+IN+RANDOM+ENVIRONMENTS Search RANDOM+WALKS+IN+RANDOM+ENVIRONMENTS
4 PARABOLIC ANDERSON MODEL 535275 3% 65% 26 Search PARABOLIC+ANDERSON+MODEL Search PARABOLIC+ANDERSON+MODEL
5 TRAP MODELS 419213 2% 88% 15 Search TRAP+MODELS Search TRAP+MODELS
6 RANDOM POTENTIAL 407061 3% 46% 28 Search RANDOM+POTENTIAL Search RANDOM+POTENTIAL
7 RANDOM CONDUCTANCE MODEL 382351 1% 93% 13 Search RANDOM+CONDUCTANCE+MODEL Search RANDOM+CONDUCTANCE+MODEL
8 RWRE 350850 1% 92% 12 Search RWRE Search RWRE
9 RANDOM CONDUCTANCES 319379 1% 92% 11 Search RANDOM+CONDUCTANCES Search RANDOM+CONDUCTANCES
10 STOCHASTIC HOMOGENIZATION 316702 3% 33% 30 Search STOCHASTIC+HOMOGENIZATION Search STOCHASTIC+HOMOGENIZATION

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 ZEITOUNI, O , (2006) RANDOM WALKS IN RANDOM ENVIRONMENTS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 39. ISSUE 40. P. R433 -R464 52 83% 26
2 MOURRAT, JC , OTTO, F , (2016) CORRELATION STRUCTURE OF THE CORRECTOR IN STOCHASTIC HOMOGENIZATION.ANNALS OF PROBABILITY. VOL. 44. ISSUE 5. P. 3207 -3233 29 94% 1
3 ANDREOLETTI, P , DEVULDER, A , (2015) LOCALIZATION AND NUMBER OF VISITED VALLEYS FOR A TRANSIENT DIFFUSION IN RANDOM ENVIRONMENT.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 20. ISSUE . P. 1 -58 29 91% 0
4 BAL, G , GU, Y , (2015) LIMITING MODELS FOR EQUATIONS WITH LARGE RANDOM POTENTIAL: A REVIEW.COMMUNICATIONS IN MATHEMATICAL SCIENCES. VOL. 13. ISSUE 3. P. 729 -748 27 82% 1
5 BERGER, N , COHEN, M , ROSENTHAL, R , (2016) LOCAL LIMIT THEOREM AND EQUIVALENCE OF DYNAMIC AND STATIC POINTS OF VIEW FOR CERTAIN BALLISTIC RANDOM WALKS IN IID ENVIRONMENTS.ANNALS OF PROBABILITY. VOL. 44. ISSUE 4. P. 2889 -2979 21 100% 0
6 ANDREOLETTI, P , DEVULDER, A , VECHAMBRE, G , (2016) RENEWAL STRUCTURE AND LOCAL TIME FOR DIFFUSIONS IN RANDOM ENVIRONMENT.ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS. VOL. 13. ISSUE 2. P. 863 -923 22 92% 0
7 SABOT, C , (2013) RANDOM DIRICHLET ENVIRONMENT VIEWED FROM THE PARTICLE IN DIMENSION D >= 3.ANNALS OF PROBABILITY. VOL. 41. ISSUE 2. P. 722-743 22 96% 3
8 ANDRES, S , DEUSCHEL, JD , SLOWIK, M , (2015) INVARIANCE PRINCIPLE FOR THE RANDOM CONDUCTANCE MODEL IN A DEGENERATE ERGODIC ENVIRONMENT.ANNALS OF PROBABILITY. VOL. 43. ISSUE 4. P. 1866 -1891 21 91% 3
9 LAMACZ, A , NEUKAMM, S , OTTO, F , (2015) MOMENT BOUNDS FOR THE CORRECTOR IN STOCHASTIC HOMOGENIZATION OF A PERCOLATION MODEL.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 20. ISSUE . P. - 20 100% 0
10 ANDREOLETTI, P , (2006) ON THE CONCENTRATION OF SINAI'S WALK.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 116. ISSUE 10. P. 1377-1408 23 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 25853 EXCITED RANDOM WALK//REINFORCED RANDOM WALK//SELF INTERACTING RANDOM WALK
2 7676 CONTACT PROCESS//FIRST PASSAGE PERCOLATION//LACE EXPANSION
3 13796 LORENTZ LATTICE GAS//LANGTONS ANT//FLIPPING SCATTERERS
4 7281 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION
5 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
6 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
7 10493 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
8 4212 EXCLUSION PROCESS//ZERO RANGE PROCESS//DRIVEN DIFFUSIVE SYSTEMS THEORY
9 18983 PINNING MODEL//HARRIS CRITERION//PINNING AND WETTING MODELS
10 9797 SUPERPROCESS//SUPER BROWNIAN MOTION//BRANCHING PARTICLE SYSTEM

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