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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8902 1206 17.9 33%


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
8902 1                   MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE 1206

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 MALLIAVIN CALCULUS authKW 749910 11% 23% 128
2 SKOROHOD INTEGRAL authKW 364124 2% 55% 26
3 QUASI SURE CONVERGENCE authKW 151908 0% 100% 6
4 STOCHASTIC CALCULUS OF VARIATIONS authKW 148921 1% 59% 10
5 INTEGRATION BY PARTS FORMULA authKW 129643 1% 39% 13
6 PATH SPACE authKW 105561 1% 30% 14
7 SMOOTHNESS OF DENSITY authKW 105490 0% 83% 5
8 ENERGY IMAGE DENSITY authKW 101272 0% 100% 4
9 MARKOVIAN CONNECTION authKW 101272 0% 100% 4
10 STOCHASTIC OSCILLATORY INTEGRAL authKW 101272 0% 100% 4

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 Mathematics 19548 55% 0% 661
2 Statistics & Probability 19504 31% 0% 375
3 Mathematics, Applied 2253 18% 0% 218
4 Physics, Mathematical 223 4% 0% 54
5 Multidisciplinary Sciences 28 1% 0% 13
6 Social Sciences, Mathematical Methods 21 1% 0% 8
7 Automation & Control Systems 20 1% 0% 15
8 Business, Finance 7 1% 0% 7
9 Mathematics, Interdisciplinary Applications 1 1% 0% 9
10 Operations Research & Management Science 1 1% 0% 8

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 SPMS MAS 57866 0% 57% 4
2 ELIE CARTAN LORIA 50636 0% 100% 2
3 EQUIPE ANAL PROBABIL 40008 1% 23% 7
4 EAUX 33752 0% 33% 4
5 ANAL MATHS PL 25318 0% 100% 1
6 CESCOM PROJET CONGE 25318 0% 100% 1
7 CNRS 213 25318 0% 100% 1
8 DIPARTIMENTO MATEMAT PLICATA UNI 25318 0% 100% 1
9 DMI UFR MIM CNRS URA 399 25318 0% 100% 1
10 EQUPE ANAL PROBABIL 25318 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 JOURNAL OF FUNCTIONAL ANALYSIS 86625 12% 2% 149
2 PROBABILITY THEORY AND RELATED FIELDS 54827 6% 3% 71
3 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 48191 11% 2% 127
4 BULLETIN DES SCIENCES MATHEMATIQUES 36737 3% 3% 42
5 LECTURE NOTES IN MATHEMATICS 25516 7% 1% 85
6 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 21351 2% 4% 23
7 POTENTIAL ANALYSIS 18386 2% 3% 27
8 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 15014 2% 2% 27
9 ANNALS OF PROBABILITY 11949 3% 1% 39
10 STOCHASTIC ANALYSIS AND APPLICATIONS 10947 1% 3% 15

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 MALLIAVIN CALCULUS 749910 11% 23% 128 Search MALLIAVIN+CALCULUS Search MALLIAVIN+CALCULUS
2 SKOROHOD INTEGRAL 364124 2% 55% 26 Search SKOROHOD+INTEGRAL Search SKOROHOD+INTEGRAL
3 QUASI SURE CONVERGENCE 151908 0% 100% 6 Search QUASI+SURE+CONVERGENCE Search QUASI+SURE+CONVERGENCE
4 STOCHASTIC CALCULUS OF VARIATIONS 148921 1% 59% 10 Search STOCHASTIC+CALCULUS+OF+VARIATIONS Search STOCHASTIC+CALCULUS+OF+VARIATIONS
5 INTEGRATION BY PARTS FORMULA 129643 1% 39% 13 Search INTEGRATION+BY+PARTS+FORMULA Search INTEGRATION+BY+PARTS+FORMULA
6 PATH SPACE 105561 1% 30% 14 Search PATH+SPACE Search PATH+SPACE
7 SMOOTHNESS OF DENSITY 105490 0% 83% 5 Search SMOOTHNESS+OF+DENSITY Search SMOOTHNESS+OF+DENSITY
8 ENERGY IMAGE DENSITY 101272 0% 100% 4 Search ENERGY+IMAGE+DENSITY Search ENERGY+IMAGE+DENSITY
9 MARKOVIAN CONNECTION 101272 0% 100% 4 Search MARKOVIAN+CONNECTION Search MARKOVIAN+CONNECTION
10 STOCHASTIC OSCILLATORY INTEGRAL 101272 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BOGACHEV, VI , SMOLYANOV, OG , (1990) ANALYTIC PROPERTIES OF INFINITE-DIMENSIONAL DISTRIBUTIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 45. ISSUE 3. P. 1 -104 89 61% 20
2 ELWORTHY, KD , LI, XM , (2008) AN L-2 THEORY FOR DIFFERENTIAL FORMS ON PATH SPACES I.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 254. ISSUE 1. P. 196 -245 28 85% 3
3 MALLIAVIN, P , (1993) INFINITE DIMENSIONAL ANALYSIS.BULLETIN DES SCIENCES MATHEMATIQUES. VOL. 117. ISSUE 1. P. 63 -90 48 79% 12
4 GROSS, L , (1998) HARMONIC FUNCTIONS ON LOOP GROUPS.ASTERISQUE. VOL. . ISSUE 252. P. 271 -+ 33 83% 3
5 CHEN, X , LI, XM , WU, B , (2010) A POINCARE INEQUALITY ON LOOP SPACES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 259. ISSUE 6. P. 1421-1442 24 75% 2
6 LI, XD , (2004) ASYMPTOTIC BEHAVIOR OF DIVERGENCES AND CAMERON-MARTIN THEOREM ON LOOP SPACES.ANNALS OF PROBABILITY. VOL. 32. ISSUE 3B. P. 2409-2445 21 100% 0
7 DRIVER, BK , (1999) THE LIE BRACKET OF ADAPTED VECTOR FIELDS ON WIENER SPACES.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 39. ISSUE 2. P. 179 -210 24 92% 12
8 LEANDRE, R , (2005) BROWNIAN PANTS AND DELIGNE COHOMOLOGY.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 46. ISSUE 3. P. - 21 88% 2
9 AIDA, S , (1998) DIFFERENTIAL CALCULUS ON PATH AND LOOP SPACES - II. IRREDUCIBILITY OF DIRICHLET FORMS ON LOOP SPACES.BULLETIN DES SCIENCES MATHEMATIQUES. VOL. 122. ISSUE 8. P. 635 -666 23 96% 7
10 FANG, SZ , FRANCHI, J , (1997) DE RHAM-HODGE-KODAIRA OPERATOR ON LOOP GROUPS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 148. ISSUE 2. P. 391-407 21 100% 18

Classes with closest relation at Level 1


Rank Class id link
1 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
2 6109 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
3 20111 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
4 19294 WICK PRODUCT//WHITE NOISE ANALYSIS//LEVY LAPLACIAN
5 22718 FOR UNGSZENTRUM BIBOS//BIBOS//EUCLIDEAN GIBBS STATES
6 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
7 25084 SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE
8 19969 FINITE DIMENSIONAL FILTER//ESTIMATION ALGEBRA//NONLINEAR DRIFT
9 18955 FEYNMAN FORMULA//FEYNMAN PATH INTEGRAL//FEYNMAN MEASURE
10 6796 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION

Go to start page