Class information for:
Level 1: FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
550 3       FRACTIONAL BROWNIAN MOTION//MALLIAVIN CALCULUS//STOCHASTIC DIFFERENTIAL EQUATIONS 18599
639 2             FRACTIONAL BROWNIAN MOTION//MALLIAVIN CALCULUS//STOCHASTIC DIFFERENTIAL EQUATIONS 14085
8124 1                   FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS 1313

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FRACTIONAL BROWNIAN MOTION authKW 4461968 35% 40% 463
2 ROUGH PATHS authKW 1316974 5% 84% 65
3 MALLIAVIN CALCULUS authKW 1157881 13% 29% 167
4 SUB FRACTIONAL BROWNIAN MOTION authKW 706955 3% 82% 36
5 MULTIPLE STOCHASTIC INTEGRALS authKW 654534 4% 58% 47
6 ROUGH PATHS THEORY authKW 341358 1% 89% 16
7 ROUGH PATH THEORY authKW 315292 1% 77% 17
8 FRACTIONAL ORNSTEIN UHLENBECK PROCESS authKW 294007 2% 58% 21
9 ROSENBLATT PROCESS authKW 289014 1% 71% 17
10 MULTIPLE WIENER ITO INTEGRALS authKW 274292 2% 57% 20

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 74001 58% 0% 756
2 Mathematics 4809 27% 0% 355
3 Mathematics, Applied 4507 24% 0% 315
4 Mathematics, Interdisciplinary Applications 235 4% 0% 46
5 Social Sciences, Mathematical Methods 163 2% 0% 20
6 Physics, Mathematical 126 3% 0% 45
7 Business, Finance 79 1% 0% 18
8 COMPUTER APPLICATIONS & CYBERNETICS 77 0% 0% 3
9 Automation & Control Systems 54 2% 0% 23
10 Physics, Multidisciplinary 2 2% 0% 32

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ECON LA SORBONNE 184626 1% 77% 10
2 PL SCI MARRAKESH 100007 0% 83% 5
3 SAMOS MATISSE 87993 1% 33% 11
4 GALILEE MATH 84000 1% 50% 7
5 UR MATH 61891 1% 37% 7
6 UNITE MATH PL 61434 1% 32% 8
7 BUR 4D1 48004 0% 100% 2
8 FSTC UR MATH 48004 0% 100% 2
9 MATH OXFORD MAN 48004 0% 100% 2
10 PAUL PAINLEVE 45948 3% 5% 36

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 85083 8% 3% 111
2 STOCHASTICS AND DYNAMICS 47442 2% 7% 29
3 ELECTRONIC JOURNAL OF PROBABILITY 37689 3% 4% 42
4 BERNOULLI 35853 3% 3% 44
5 ANNALS OF PROBABILITY 32991 5% 2% 67
6 ABEL SYMPOSIA 28255 3% 4% 33
7 STOCHASTIC ANALYSIS AND APPLICATIONS 26181 2% 4% 27
8 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS 24746 1% 6% 16
9 ELECTRONIC COMMUNICATIONS IN PROBABILITY 22136 2% 3% 28
10 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 19124 2% 2% 32

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FRACTIONAL BROWNIAN MOTION 4461968 35% 40% 463 Search FRACTIONAL+BROWNIAN+MOTION Search FRACTIONAL+BROWNIAN+MOTION
2 ROUGH PATHS 1316974 5% 84% 65 Search ROUGH+PATHS Search ROUGH+PATHS
3 MALLIAVIN CALCULUS 1157881 13% 29% 167 Search MALLIAVIN+CALCULUS Search MALLIAVIN+CALCULUS
4 SUB FRACTIONAL BROWNIAN MOTION 706955 3% 82% 36 Search SUB+FRACTIONAL+BROWNIAN+MOTION Search SUB+FRACTIONAL+BROWNIAN+MOTION
5 MULTIPLE STOCHASTIC INTEGRALS 654534 4% 58% 47 Search MULTIPLE+STOCHASTIC+INTEGRALS Search MULTIPLE+STOCHASTIC+INTEGRALS
6 ROUGH PATHS THEORY 341358 1% 89% 16 Search ROUGH+PATHS+THEORY Search ROUGH+PATHS+THEORY
7 ROUGH PATH THEORY 315292 1% 77% 17 Search ROUGH+PATH+THEORY Search ROUGH+PATH+THEORY
8 FRACTIONAL ORNSTEIN UHLENBECK PROCESS 294007 2% 58% 21 Search FRACTIONAL+ORNSTEIN+UHLENBECK+PROCESS Search FRACTIONAL+ORNSTEIN+UHLENBECK+PROCESS
9 ROSENBLATT PROCESS 289014 1% 71% 17 Search ROSENBLATT+PROCESS Search ROSENBLATT+PROCESS
10 MULTIPLE WIENER ITO INTEGRALS 274292 2% 57% 20 Search MULTIPLE+WIENER+ITO+INTEGRALS Search MULTIPLE+WIENER+ITO+INTEGRALS

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 9289 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
2 8873 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
3 38203 MEASURABLE POLYNOMIALS//DISTRIBUTION OF QUADRATIC FORMS//ANALOGUES OF ISOPERIMETRIC CHERNOFF INEQUALITY
4 5779 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION
5 16733 CARMA PROCESS//FRACTIONAL LEVY PROCESS//INFINITELY DIVISIBLE PROCESSES
6 37739 CONTINGENT CAPITAL//EQUITY FOR GUARANTEE SWAP//CONTINGENT CONVERTIBLES
7 4103 BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//FORWARD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS//G EXPECTATION
8 4950 LONG MEMORY//FRACTIONAL INTEGRATION//LONG RANGE DEPENDENCE
9 20895 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
10 20638 WHITE NOISE ANALYSIS//LEVY LAPLACIAN//INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS

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