Class information for:
Level 1: WICK PRODUCT//WHITE NOISE ANALYSIS//LEVY LAPLACIAN

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19294 513 19.0 30%


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
19294 1                   WICK PRODUCT//WHITE NOISE ANALYSIS//LEVY LAPLACIAN 513

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 WICK PRODUCT authKW 1200335 6% 61% 33
2 WHITE NOISE ANALYSIS authKW 1065052 8% 46% 39
3 LEVY LAPLACIAN authKW 892830 3% 100% 15
4 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS journal 804627 18% 15% 92
5 VITO VOLTERRA address 650068 6% 38% 29
6 SECOND QUANTIZATION OPERATOR authKW 423266 2% 89% 8
7 HIGHER SCI TECHNOL HAMMAM SOUSSE address 416654 1% 100% 7
8 QUANTUM WHITE NOISE authKW 380938 2% 80% 8
9 GENERALIZED OPERATOR authKW 364571 1% 88% 7
10 WHITE NOISE THEORY authKW 297600 2% 50% 10

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 10730 35% 0% 181
2 Mathematics, Applied 6539 45% 0% 230
3 Mathematics 5533 45% 0% 231
4 Physics, Mathematical 4198 26% 0% 131
5 Mathematics, Interdisciplinary Applications 2 1% 0% 5
6 Information Science & Library Science 0 0% 0% 2
7 Computer Science, Information Systems 0 1% 0% 4
8 Physics, Multidisciplinary 0 2% 0% 10
9 Computer Science, Software Engineering -0 0% 0% 2
10 Automation & Control Systems -1 0% 0% 1

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 VITO VOLTERRA 650068 6% 38% 29
2 HIGHER SCI TECHNOL HAMMAM SOUSSE 416654 1% 100% 7
3 LEHRSTUHL MATH 5 267846 1% 75% 6
4 HIGHER PL SCI TECHNOL GABES 105812 1% 44% 4
5 MATH FINANCE 102362 3% 10% 17
6 VOLTERRA 95230 1% 40% 4
7 LEHRSTUHL WAHR EINLICHKEITSTHEORIE STAT 89280 1% 50% 3
8 HIGH SCI TECHNOL HAMMAM SOUSSE 63484 1% 27% 4
9 DEP MATEMAT FCT 59522 0% 100% 1
10 EL JUMUM 59522 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 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 804627 18% 15% 92
2 NAGOYA MATHEMATICAL JOURNAL 21652 4% 2% 21
3 ACTA APPLICANDAE MATHEMATICAE 13526 4% 1% 22
4 ABEL SYMPOSIA 12960 3% 1% 15
5 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 12375 1% 3% 6
6 JOURNAL OF FUNCTIONAL ANALYSIS 10572 7% 1% 34
7 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 9716 1% 3% 5
8 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS 9305 1% 3% 6
9 POTENTIAL ANALYSIS 8539 2% 1% 12
10 LECTURE NOTES IN MATHEMATICS 6971 6% 0% 29

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 WICK PRODUCT 1200335 6% 61% 33 Search WICK+PRODUCT Search WICK+PRODUCT
2 WHITE NOISE ANALYSIS 1065052 8% 46% 39 Search WHITE+NOISE+ANALYSIS Search WHITE+NOISE+ANALYSIS
3 LEVY LAPLACIAN 892830 3% 100% 15 Search LEVY+LAPLACIAN Search LEVY+LAPLACIAN
4 SECOND QUANTIZATION OPERATOR 423266 2% 89% 8 Search SECOND+QUANTIZATION+OPERATOR Search SECOND+QUANTIZATION+OPERATOR
5 QUANTUM WHITE NOISE 380938 2% 80% 8 Search QUANTUM+WHITE+NOISE Search QUANTUM+WHITE+NOISE
6 GENERALIZED OPERATOR 364571 1% 88% 7 Search GENERALIZED+OPERATOR Search GENERALIZED+OPERATOR
7 WHITE NOISE THEORY 297600 2% 50% 10 Search WHITE+NOISE+THEORY Search WHITE+NOISE+THEORY
8 OPERATOR SYMBOL 293025 2% 62% 8 Search OPERATOR+SYMBOL Search OPERATOR+SYMBOL
9 GROSS LAPLACIAN 248007 1% 83% 5 Search GROSS+LAPLACIAN Search GROSS+LAPLACIAN
10 GENERALIZED RANDOM ELEMENTS 238088 1% 100% 4 Search GENERALIZED+RANDOM+ELEMENTS Search GENERALIZED+RANDOM+ELEMENTS

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 KACHANOVSKY, NA , (2011) ELEMENTS OF A NON-GAUSSIAN ANALYSIS ON THE SPACES OF FUNCTIONS OF INFINITELY MANY VARIABLES.UKRAINIAN MATHEMATICAL JOURNAL. VOL. 62. ISSUE 9. P. 1420 -1448 26 87% 0
2 SAITO, K , (2005) STOCHASTIC PROCESSES ASSOCIATED WITH A SUM OF THE LEVY LAPLACIANS.STOCHASTIC ANALYSIS AND APPLICATIONS. VOL. 23. ISSUE 2. P. 365-381 23 100% 0
3 ACCARDI, L , BARHOUMI, A , JI, UC , (2011) QUANTUM LAPLACIANS ON GENERALIZED OPERATORS ON BOSON FOCK SPACE.PROBABILITY AND MATHEMATICAL STATISTICS-POLAND. VOL. 31. ISSUE 2. P. 203-225 21 91% 0
4 JI, UC , OBATA, N , OUERDIANE, H , (2007) QUANTUM LEVY LAPLACIAN AND ASSOCIATED HEAT EQUATION.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 249. ISSUE 1. P. 31 -54 18 100% 2
5 VOLKOV, BO , (2013) HIERARCHY OF LEVY-LAPLACIANS AND QUANTUM STOCHASTIC PROCESSES.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 16. ISSUE 4. P. - 15 100% 1
6 BARHOUMI, A , OUERDIANE, H , RGUIGUI, H , (2012) QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 15. ISSUE 1. P. - 16 94% 0
7 ACCARDI, L , JI, UC , SAITO, K , (2015) HIGHER ORDER MULTI-DIMENSIONAL EXTENSIONS OF CESARO THEOREM.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 18. ISSUE 4. P. - 14 100% 0
8 KUO, HH , OBATA, N , SAITO, K , (2002) DIAGONALIZATION OF THE LEVY LAPLACIAN AND RELATED STABLE PROCESSES.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 5. ISSUE 3. P. 317-331 19 100% 11
9 JI, UC , (2008) QUANTUM EXTENSIONS OF FOURIER-GAUSS AND FOURIER-MEHLER TRANSFORMS.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 45. ISSUE 6. P. 1785-1801 17 94% 4
10 ACCARDI, L , JI, UC , SAITO, K , (2009) EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 12. ISSUE 1. P. 1-19 15 100% 5

Classes with closest relation at Level 1


Rank Class id link
1 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
2 18955 FEYNMAN FORMULA//FEYNMAN PATH INTEGRAL//FEYNMAN MEASURE
3 7995 QUANTUM FEEDBACK CONTROL//QUANTUM FILTERING//QUANTUM STOCHASTIC PROCESS
4 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
5 23398 GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION//FOURIER FEYNMAN TRANSFORM
6 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
7 22718 FOR UNGSZENTRUM BIBOS//BIBOS//EUCLIDEAN GIBBS STATES
8 6109 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
9 32449 DIVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE//ASYMPTOTIC FUZZY MEASURE
10 37376 UNIVERSAL TESTING SEQUENCE//DECIDABILITY IN THE LIMIT//WEAK CONFORMANCE

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