Class information for:
Level 1: WHITE NOISE ANALYSIS//LEVY LAPLACIAN//VITO VOLTERRA

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
18999 460 19.2 30%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
499 14611 MALLIAVIN CALCULUS//FRACTIONAL BROWNIAN MOTION//STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 WHITE NOISE ANALYSIS Author keyword 27 47% 9% 42
2 LEVY LAPLACIAN Author keyword 23 79% 3% 15
3 VITO VOLTERRA Address 15 40% 7% 30
4 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS Journal 15 15% 20% 90
5 HIGHER SCI TECHNOL HAMMAM SOUSSE Address 14 100% 2% 7
6 GENERALIZED OPERATOR Author keyword 11 78% 2% 7
7 SECOND QUANTIZATION OPERATOR Author keyword 11 78% 2% 7
8 QUANTUM WHITE NOISE Author keyword 10 73% 2% 8
9 GROSS LAPLACIAN Author keyword 9 83% 1% 5
10 WICK PRODUCT Author keyword 7 32% 4% 18

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 WHITE NOISE ANALYSIS 27 47% 9% 42 Search WHITE+NOISE+ANALYSIS Search WHITE+NOISE+ANALYSIS
2 LEVY LAPLACIAN 23 79% 3% 15 Search LEVY+LAPLACIAN Search LEVY+LAPLACIAN
3 GENERALIZED OPERATOR 11 78% 2% 7 Search GENERALIZED+OPERATOR Search GENERALIZED+OPERATOR
4 SECOND QUANTIZATION OPERATOR 11 78% 2% 7 Search SECOND+QUANTIZATION+OPERATOR Search SECOND+QUANTIZATION+OPERATOR
5 QUANTUM WHITE NOISE 10 73% 2% 8 Search QUANTUM+WHITE+NOISE Search QUANTUM+WHITE+NOISE
6 GROSS LAPLACIAN 9 83% 1% 5 Search GROSS+LAPLACIAN Search GROSS+LAPLACIAN
7 WICK PRODUCT 7 32% 4% 18 Search WICK+PRODUCT Search WICK+PRODUCT
8 OPERATOR SYMBOL 7 57% 2% 8 Search OPERATOR+SYMBOL Search OPERATOR+SYMBOL
9 WHITE NOISE THEORY 6 48% 2% 10 Search WHITE+NOISE+THEORY Search WHITE+NOISE+THEORY
10 WHITE NOISE OPERATOR 6 100% 1% 4 Search WHITE+NOISE+OPERATOR Search WHITE+NOISE+OPERATOR

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GENERALIZED BROWNIAN FUNCTIONALS 17 100% 2% 8
2 FEYNMAN INTEGRAND 11 100% 1% 6
3 LEVY LAPLACIAN 11 69% 2% 9
4 WHITE NOISE FUNCTIONALS 10 61% 2% 11
5 WHITE NOISE CALCULUS 6 80% 1% 4
6 HIDA DISTRIBUTIONS 6 71% 1% 5
7 RENORMALIZED HIGHER POWERS 6 100% 1% 4
8 GAUSSIAN WHITE NOISE 4 24% 3% 16
9 HIDA DISTRIBUTION 3 100% 1% 3
10 TEST FUNCTIONALS 3 100% 1% 3

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 15 15% 20% 90

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Quantum stochastic analysis via white noise operators in weighted Fock space 2002 17 15 93%
White noise analysis: Part I. Theory in progress 2003 2 4 100%
WHITE NOISE ANALYSIS: SOME APPLICATIONS IN COMPLEX SYSTEMS, BIOPHYSICS AND QUANTUM MECHANICS 2012 0 38 26%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 VITO VOLTERRA 15 40% 6.5% 30
2 HIGHER SCI TECHNOL HAMMAM SOUSSE 14 100% 1.5% 7
3 LEHRSTUHL MATH 5 5 63% 1.1% 5
4 HIGHER PL SCI TECHNOL GABES 4 67% 0.9% 4
5 HIGH SCI TECHNOL HAMMAM SOUSSE 2 67% 0.4% 2
6 LEHRSTUHL WAHR EINLICHKEITSTHEORIE STAT 2 50% 0.7% 3
7 BIBOS 2 12% 2.6% 12
8 MATH FINANCE 1 10% 2.8% 13
9 LIB INFORMAT SERV UNIT 1 50% 0.2% 1
10 GLOBAL ANAL 1 20% 0.7% 3

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000210674 GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION//ANALYTIC FEYNMAN INTEGRAL
2 0.0000170568 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
3 0.0000152582 QUANTUM FILTERING//QUANTUM FEEDBACK CONTROL//EXPONENTIAL VECTORS
4 0.0000128678 FREE PROBABILITY//FREE ENTROPY//FREE CONVOLUTION
5 0.0000113983 UNBOUNDED COEFFICIENTS//BI CONTINUOUS SEMIGROUPS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI
6 0.0000111496 UNIVERSAL FUZZY MEASURE//DIVERGENT PERMUTATIONS//ASYMPTOTIC DENSITY
7 0.0000075641 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
8 0.0000065490 NON LIPSCHITZIAN//DIPERNA LIONS FLOW//DIPERNA LIONS THEORY
9 0.0000060007 ALPHA COMPLETELY POSITIVE MAP//J REPRESENTATION//WICK POWERS
10 0.0000059051 SKOROKHOD EMBEDDING PROBLEM//THE PRINCIPLE OF SMOOTH FIT//THE MAXIMALITY PRINCIPLE