Class information for:
Level 1: LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10493 1059 18.4 36%


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
10493 1                   LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME 1059

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 LOCAL TIME authKW 1653959 18% 31% 186
2 INTERSECTION LOCAL TIME authKW 961073 4% 83% 40
3 SELF INTERSECTION LOCAL TIME authKW 656083 3% 71% 32
4 ITERATED BROWNIAN MOTION authKW 577320 3% 69% 29
5 RANDOM WALK IN RANDOM SCENERY authKW 525937 2% 79% 23
6 WIENER SAUSAGE authKW 288306 2% 50% 20
7 ADDITIVE LEVY PROCESSES authKW 230661 1% 100% 8
8 RANDOM SCENERY authKW 221476 1% 59% 13
9 ADDITIVE BROWNIAN MOTION authKW 201828 1% 100% 7
10 BROWNIAN TIME PROCESSES authKW 201828 1% 100% 7

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 59204 57% 0% 607
2 Mathematics 5726 32% 0% 343
3 Mathematics, Applied 500 10% 0% 104
4 Physics, Mathematical 278 5% 0% 55
5 Multidisciplinary Sciences 22 1% 0% 11
6 COMPUTER APPLICATIONS & CYBERNETICS 9 0% 0% 1
7 Social Sciences, Mathematical Methods 0 0% 0% 2
8 Mathematics, Interdisciplinary Applications -0 0% 0% 4
9 Forestry -2 0% 0% 1
10 Computer Science, Software Engineering -4 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 STAT WAHR EINLICHKEITSTHEORIE 183037 2% 32% 20
2 PROBABIL 147317 4% 13% 40
3 MODELISAT STOCHAST DETERMINISTE 64872 0% 75% 3
4 STAT PROBABIL 50833 4% 4% 41
5 URAC 04 38442 0% 67% 2
6 CFTP IST 28833 0% 100% 1
7 EVANS HALL 28833 0% 100% 1
8 FSJES AIN SEBAA 28833 0% 100% 1
9 J AN MINIST EDUC 28833 0% 100% 1
10 MATEMATIQUES 28833 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 189044 14% 5% 145
2 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 73533 9% 3% 93
3 PROBABILITY THEORY AND RELATED FIELDS 57285 6% 3% 68
4 JOURNAL OF THEORETICAL PROBABILITY 55487 4% 4% 47
5 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 41438 4% 3% 42
6 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 38066 3% 5% 28
7 ELECTRONIC JOURNAL OF PROBABILITY 13545 2% 2% 22
8 ELECTRONIC COMMUNICATIONS IN PROBABILITY 13498 2% 2% 19
9 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 8702 2% 2% 19
10 LECTURE NOTES IN MATHEMATICS 8475 4% 1% 46

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 LOCAL TIME 1653959 18% 31% 186 Search LOCAL+TIME Search LOCAL+TIME
2 INTERSECTION LOCAL TIME 961073 4% 83% 40 Search INTERSECTION+LOCAL+TIME Search INTERSECTION+LOCAL+TIME
3 SELF INTERSECTION LOCAL TIME 656083 3% 71% 32 Search SELF+INTERSECTION+LOCAL+TIME Search SELF+INTERSECTION+LOCAL+TIME
4 ITERATED BROWNIAN MOTION 577320 3% 69% 29 Search ITERATED+BROWNIAN+MOTION Search ITERATED+BROWNIAN+MOTION
5 RANDOM WALK IN RANDOM SCENERY 525937 2% 79% 23 Search RANDOM+WALK+IN+RANDOM+SCENERY Search RANDOM+WALK+IN+RANDOM+SCENERY
6 WIENER SAUSAGE 288306 2% 50% 20 Search WIENER+SAUSAGE Search WIENER+SAUSAGE
7 ADDITIVE LEVY PROCESSES 230661 1% 100% 8 Search ADDITIVE+LEVY+PROCESSES Search ADDITIVE+LEVY+PROCESSES
8 RANDOM SCENERY 221476 1% 59% 13 Search RANDOM+SCENERY Search RANDOM+SCENERY
9 ADDITIVE BROWNIAN MOTION 201828 1% 100% 7 Search ADDITIVE+BROWNIAN+MOTION Search ADDITIVE+BROWNIAN+MOTION
10 BROWNIAN TIME PROCESSES 201828 1% 100% 7 Search BROWNIAN+TIME+PROCESSES Search BROWNIAN+TIME+PROCESSES

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 XIAO, YM , KHOSHNEVISAN, D , (2009) HARMONIC ANALYSIS OF ADDITIVE LEVY PROCESSES.PROBABILITY THEORY AND RELATED FIELDS. VOL. 145. ISSUE 3-4. P. 459 -515 46 85% 12
2 BORNALES, J , OLIVEIRA, MJ , STREIT, L , (2016) CHAOS DECOMPOSITION AND GAP RENORMALIZATION OF BROWNIAN SELF-INTERSECTION LOCAL TIMES.REPORTS ON MATHEMATICAL PHYSICS. VOL. 77. ISSUE 2. P. 141 -152 21 100% 0
3 CHEN, X , (2007) MODERATE DEVIATIONS AND LAWS OF THE ITERATED LOGARITHM FOR THE LOCAL TIMES OF ADDITIVE LEVY PROCESSES AND ADDITIVE RANDOM WALKS.ANNALS OF PROBABILITY. VOL. 35. ISSUE 3. P. 954-1006 27 96% 0
4 CHEN, ZL , WU, DS , XIAO, YM , (2015) SMOOTHNESS OF LOCAL TIMES AND SELF-INTERSECTION LOCAL TIMES OF GAUSSIAN RANDOM FIELDS.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 10. ISSUE 4. P. 777 -805 22 92% 0
5 XIAO, YM , (2009) SAMPLE PATH PROPERTIES OF ANISOTROPIC GAUSSIAN RANDOM FIELDS.MINICOURSE ON STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. VOL. 1962. ISSUE . P. 145 -212 33 59% 31
6 LAURENT, C , (2012) LARGE DEVIATIONS FOR SELF-INTERSECTION LOCAL TIMES IN SUBCRITICAL DIMENSIONS.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 17. ISSUE . P. 1-20 20 95% 0
7 CASTELL, F , (2010) LARGE DEVIATIONS FOR INTERSECTION LOCAL TIMES IN CRITICAL DIMENSION.ANNALS OF PROBABILITY. VOL. 38. ISSUE 2. P. 927-953 21 91% 2
8 CHEN, X , (2007) LARGE DEVIATIONS AND LAWS OF THE ITERATED LOGARITHM FOR THE LOCAL TIMES OF ADDITIVE STABLE PROCESSES.ANNALS OF PROBABILITY. VOL. 35. ISSUE 2. P. 602-648 20 100% 3
9 CHEN, X , (2006) SELF-INTERSECTION LOCAL TIMES OF ADDITIVE PROCESSES: LARGE DEVIATION AND LAW OF THE ITERATED LOGARITHM.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 116. ISSUE 9. P. 1236-1253 21 95% 0
10 CHEN, ZL , XIAO, YM , (2012) ON INTERSECTIONS OF INDEPENDENT ANISOTROPIC GAUSSIAN RANDOM FIELDS.SCIENCE CHINA-MATHEMATICS. VOL. 55. ISSUE 11. P. 2217-2232 20 83% 5

Classes with closest relation at Level 1


Rank Class id link
1 6109 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
2 25084 SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE
3 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
4 7281 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION
5 24204 RANDOM INTERLACEMENTS//COVER TIME//VACANT SET
6 19884 MATSUMOTO YOR PROPERTY//BOUGEROLS IDENTITY//EXPONENTIAL BROWNIAN FUNCTIONALS
7 21686 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
8 31011 SPURIOUS REGRESSION//INTEGRATED TIME SERIES//FUNCTIONAL COEFFICIENTS
9 22169 SKOROKHOD EMBEDDING PROBLEM//MAXIMUM PROCESS//SKOROKHOD EMBEDDING
10 11654 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS

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