Class information for:
Level 1: MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE

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
8873 1                   MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE 1239

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MALLIAVIN CALCULUS authKW 676447 10% 21% 124
2 SKOROHOD INTEGRAL authKW 233667 2% 44% 21
3 QUASI SURE CONVERGENCE authKW 152614 0% 100% 6
4 STOCHASTIC CALCULUS OF VARIATIONS authKW 149613 1% 59% 10
5 EQUIPE ANAL PROBABIL address 118138 1% 39% 12
6 INTEGRATION BY PARTS FORMULA authKW 110977 1% 36% 12
7 PATH SPACE authKW 106053 1% 30% 14
8 SMOOTHNESS OF DENSITY authKW 105980 0% 83% 5
9 ENERGY IMAGE DENSITY authKW 101743 0% 100% 4
10 MARKOVIAN CONNECTION authKW 101743 0% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 20414 31% 0% 389
2 Mathematics 20094 55% 0% 681
3 Mathematics, Applied 2094 17% 0% 214
4 Physics, Mathematical 225 4% 0% 55
5 Multidisciplinary Sciences 37 1% 0% 15
6 Social Sciences, Mathematical Methods 20 1% 0% 8
7 Automation & Control Systems 9 1% 0% 12
8 Business, Finance 7 1% 0% 7
9 Operations Research & Management Science 2 1% 0% 10
10 Mathematics, Interdisciplinary Applications 1 1% 0% 9

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EQUIPE ANAL PROBABIL 118138 1% 39% 12
2 SPMS MAS 58135 0% 57% 4
3 ELIE CARTAN LORIA 50871 0% 100% 2
4 EAUX 33909 0% 33% 4
5 EQUIPE ANAL PROBABILITES 27126 0% 27% 4
6 ANAL MATHS PL 25436 0% 100% 1
7 CNRS 213 25436 0% 100% 1
8 DIPARTIMENTO MATEMAT PLICATA UNI 25436 0% 100% 1
9 EQUIPE ANAL PROBABIL BD F MITTERRAND 25436 0% 100% 1
10 EQUPE ANAL PROBABIL 25436 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF FUNCTIONAL ANALYSIS 83770 12% 2% 148
2 PROBABILITY THEORY AND RELATED FIELDS 60532 6% 3% 75
3 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 53111 11% 2% 133
4 BULLETIN DES SCIENCES MATHEMATIQUES 41857 4% 4% 45
5 LECTURE NOTES IN MATHEMATICS 27932 7% 1% 89
6 POTENTIAL ANALYSIS 25079 3% 3% 32
7 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 17514 2% 3% 21
8 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 16642 2% 2% 29
9 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 15503 2% 2% 27
10 ANNALS OF PROBABILITY 14373 3% 1% 43

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MALLIAVIN CALCULUS 676447 10% 21% 124 Search MALLIAVIN+CALCULUS Search MALLIAVIN+CALCULUS
2 SKOROHOD INTEGRAL 233667 2% 44% 21 Search SKOROHOD+INTEGRAL Search SKOROHOD+INTEGRAL
3 QUASI SURE CONVERGENCE 152614 0% 100% 6 Search QUASI+SURE+CONVERGENCE Search QUASI+SURE+CONVERGENCE
4 STOCHASTIC CALCULUS OF VARIATIONS 149613 1% 59% 10 Search STOCHASTIC+CALCULUS+OF+VARIATIONS Search STOCHASTIC+CALCULUS+OF+VARIATIONS
5 INTEGRATION BY PARTS FORMULA 110977 1% 36% 12 Search INTEGRATION+BY+PARTS+FORMULA Search INTEGRATION+BY+PARTS+FORMULA
6 PATH SPACE 106053 1% 30% 14 Search PATH+SPACE Search PATH+SPACE
7 SMOOTHNESS OF DENSITY 105980 0% 83% 5 Search SMOOTHNESS+OF+DENSITY Search SMOOTHNESS+OF+DENSITY
8 ENERGY IMAGE DENSITY 101743 0% 100% 4 Search ENERGY+IMAGE+DENSITY Search ENERGY+IMAGE+DENSITY
9 MARKOVIAN CONNECTION 101743 0% 100% 4 Search MARKOVIAN+CONNECTION Search MARKOVIAN+CONNECTION
10 STOCHASTIC OSCILLATORY INTEGRAL 101743 0% 100% 4 Search STOCHASTIC+OSCILLATORY+INTEGRAL Search STOCHASTIC+OSCILLATORY+INTEGRAL

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 20895 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
2 8124 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
3 20638 WHITE NOISE ANALYSIS//LEVY LAPLACIAN//INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
4 14412 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
5 25347 VLASOV SCALING//SPATIAL BIRTH AND DEATH PROCESSES//BIBOS
6 12911 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//LOGARITHMIC SOBOLEV INEQUALITIES
7 25678 SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE
8 38203 MEASURABLE POLYNOMIALS//DISTRIBUTION OF QUADRATIC FORMS//ANALOGUES OF ISOPERIMETRIC CHERNOFF INEQUALITY
9 20380 FINITE DIMENSIONAL FILTER//ESTIMATION ALGEBRA//NONLINEAR DRIFT
10 26483 FEYNMAN FORMULA//CHERNOFFS THEOREM//CHERNOFF THEOREM

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