Class information for:
Level 2: FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
499 15343 20.1 39%


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
6061 1                   DIRICHLET FORM//LEVY SYSTEM//POTENTIAL ANALYSIS 1537
6109 1                   FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS 1528
6796 1                   STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION 1443
7281 1                   BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION 1386
8902 1                   MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE 1206
9797 1                   SUPERPROCESS//SUPER BROWNIAN MOTION//BRANCHING PARTICLE SYSTEM 1119
10493 1                   LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME 1059
11654 1                   RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS 964
12736 1                   LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES 884
14379 1                   UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP 773
19294 1                   WICK PRODUCT//WHITE NOISE ANALYSIS//LEVY LAPLACIAN 513
19884 1                   MATSUMOTO YOR PROPERTY//BOUGEROLS IDENTITY//EXPONENTIAL BROWNIAN FUNCTIONALS 485
20111 1                   STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS 476
21686 1                   SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS 409
22718 1                   FOR UNGSZENTRUM BIBOS//BIBOS//EUCLIDEAN GIBBS STATES 371
25084 1                   SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE 291
25853 1                   EXCITED RANDOM WALK//REINFORCED RANDOM WALK//SELF INTERACTING RANDOM WALK 270
25862 1                   AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES 270
28764 1                   MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES 200
31043 1                   EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE 159

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 FRACTIONAL BROWNIAN MOTION authKW 628792 4% 54% 589
2 ANNALS OF PROBABILITY journal 567336 6% 30% 957
3 LOCAL TIME authKW 516782 3% 66% 396
4 STATISTICS & PROBABILITY WoSSC 514508 45% 4% 6831
5 MALLIAVIN CALCULUS authKW 513475 2% 68% 378
6 PROBABILITY THEORY AND RELATED FIELDS journal 511928 5% 33% 774
7 STOCHASTIC PROCESSES AND THEIR APPLICATIONS journal 491785 6% 27% 916
8 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS authKW 453641 3% 56% 408
9 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES journal 338396 3% 37% 457
10 SUPERPROCESS authKW 249879 1% 93% 135

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 514508 45% 4% 6831
2 Mathematics 126719 40% 1% 6079
3 Mathematics, Applied 42320 22% 1% 3321
4 Physics, Mathematical 9515 8% 1% 1162
5 Mathematics, Interdisciplinary Applications 188 1% 0% 197
6 Social Sciences, Mathematical Methods 139 1% 0% 80
7 Multidisciplinary Sciences 15 0% 0% 68
8 Business, Finance 2 0% 0% 42
9 Automation & Control Systems 2 0% 0% 75
10 Computer Science, Software Engineering 0 1% 0% 83

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 PROBABIL 122575 1% 44% 139
2 MATH 121699 34% 1% 5148
3 PROBABIL MODELES ALEATOI 84690 1% 28% 152
4 UMR 7599 56645 1% 26% 112
5 BIBOS 52142 0% 50% 53
6 FAK MATH 47226 2% 8% 309
7 STAT PROBABIL 34531 1% 14% 129
8 PROBABILITES MODELES ALEATOI 33439 1% 20% 83
9 LMAM MATH SCI 31858 0% 70% 23
10 DIPARTIMENTO MATEMAT ENNIO DE GIORGI 30332 0% 37% 41

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 567336 6% 30% 957
2 PROBABILITY THEORY AND RELATED FIELDS 511928 5% 33% 774
3 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 491785 6% 27% 916
4 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 338396 3% 37% 457
5 ELECTRONIC JOURNAL OF PROBABILITY 236692 2% 34% 350
6 POTENTIAL ANALYSIS 233227 2% 34% 343
7 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 185706 2% 39% 242
8 JOURNAL OF THEORETICAL PROBABILITY 144470 2% 25% 289
9 ELECTRONIC COMMUNICATIONS IN PROBABILITY 121435 1% 28% 217
10 JOURNAL OF FUNCTIONAL ANALYSIS 111808 4% 9% 606

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 FRACTIONAL BROWNIAN MOTION 628792 4% 54% 589 Search FRACTIONAL+BROWNIAN+MOTION Search FRACTIONAL+BROWNIAN+MOTION
2 LOCAL TIME 516782 3% 66% 396 Search LOCAL+TIME Search LOCAL+TIME
3 MALLIAVIN CALCULUS 513475 2% 68% 378 Search MALLIAVIN+CALCULUS Search MALLIAVIN+CALCULUS
4 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS 453641 3% 56% 408 Search STOCHASTIC+PARTIAL+DIFFERENTIAL+EQUATIONS Search STOCHASTIC+PARTIAL+DIFFERENTIAL+EQUATIONS
5 SUPERPROCESS 249879 1% 93% 135 Search SUPERPROCESS Search SUPERPROCESS
6 DIRICHLET FORM 233875 1% 55% 214 Search DIRICHLET+FORM Search DIRICHLET+FORM
7 BRANCHING RANDOM WALK 195479 1% 77% 127 Search BRANCHING+RANDOM+WALK Search BRANCHING+RANDOM+WALK
8 RANDOM ENVIRONMENT 195154 1% 50% 198 Search RANDOM+ENVIRONMENT Search RANDOM+ENVIRONMENT
9 RANDOM WALK IN RANDOM ENVIRONMENT 174817 1% 87% 101 Search RANDOM+WALK+IN+RANDOM+ENVIRONMENT Search RANDOM+WALK+IN+RANDOM+ENVIRONMENT
10 SUPER BROWNIAN MOTION 157735 1% 85% 93 Search SUPER+BROWNIAN+MOTION Search SUPER+BROWNIAN+MOTION

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 BOGACHEV, VI , KRYLOV, NV , ROCKNER, M , (2009) ELLIPTIC AND PARABOLIC EQUATIONS FOR MEASURES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 64. ISSUE 6. P. 973 -1078 104 85% 26
2 ALBEVERIO, S , SCHACHERMAYER, W , TALAGRAND, M , (2003) LECTURES ON PROBABILITY THEORY AND STATISTICS - INTRODUCTION.LECTURES ON PROBABILITY THEORY AND STATISTICS. VOL. 1816. ISSUE . P. 1-+ 144 75% 6
3 FLANDOLI, F , (2011) RANDOM PERTURBATION OF PDES AND FLUID DYNAMIC MODELS.RANDOM PERTURBATION OF PDES AND FLUID DYNAMIC MODELS. VOL. 2015. ISSUE . P. 1 -+ 94 78% 13
4 MISHURA, YS , (2008) WIENER INTEGRATION WITH RESPECT TO FRACTIONAL BROWNIAN MOTION.STOCHASTIC CALCULUS FOR FRACTIONAL BROWNIAN MOTION AND RELATED PROCESSES. VOL. 1929. ISSUE . P. 1 -+ 99 74% 0
5 DEBUSSCHE, A , (2013) ERGODICITY RESULTS FOR THE STOCHASTIC NAVIER-STOKES EQUATIONS: AN INTRODUCTION.TOPICS IN MATHEMATICAL FLUID MECHANICS, CETRARO, ITALY 2010. VOL. 2073. ISSUE . P. 23 -108 48 98% 6
6 JENTZEN, A , (2011) HIGHER ORDER PATHWISE NUMERICAL APPROXIMATIONS OF SPDES WITH ADDITIVE NOISE.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 49. ISSUE 2. P. 642 -667 53 84% 12
7 XIAO, YM , KHOSHNEVISAN, D , (2009) HARMONIC ANALYSIS OF ADDITIVE LEVY PROCESSES.PROBABILITY THEORY AND RELATED FIELDS. VOL. 145. ISSUE 3-4. P. 459 -515 49 91% 12
8 KALETA, K , LORINCZI, J , (2015) POINTWISE EIGENFUNCTION ESTIMATES AND INTRINSIC ULTRACONTRACTIVITY-TYPE PROPERTIES OF FEYNMAN-KAC SEMIGROUPS FOR A CLASS OF LEVY PROCESSES.ANNALS OF PROBABILITY. VOL. 43. ISSUE 3. P. 1350 -1398 45 87% 1
9 ECKHOFF, M , KYPRIANOU, AE , WINKEL, M , (2015) SPINES, SKELETONS AND THE STRONG LAW OF LARGE NUMBERS FOR SUPERDIFFUSIONS.ANNALS OF PROBABILITY. VOL. 43. ISSUE 5. P. 2545 -2610 39 100% 0
10 INAHAMA, Y , (2016) SHORT TIME KERNEL ASYMPTOTICS FOR ROUGH DIFFERENTIAL EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 21. ISSUE . P. - 38 97% 0

Classes with closest relation at Level 2


Rank Class id link
1 3857 MOUFANG SET//CHABAUTY TOPOLOGY//SELFDECOMPOSABLE DISTRIBUTION
2 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
3 2140 CONTACT PROCESS//FIRST PASSAGE PERCOLATION//PERCOLATION
4 1414 COMPLETE CONVERGENCE//STATISTICS & PROBABILITY//EXTREMES
5 3369 P ADIC NUMBERS//GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION
6 2533 RUIN PROBABILITY//INSURANCE MATHEMATICS & ECONOMICS//SUBEXPONENTIAL DISTRIBUTION
7 755 BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//OPTION PRICING//REAL OPTIONS
8 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
9 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
10 3652 LOEB MEASURE//LOCALLY CONVEX CONES//ULTRACOPRODUCT

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