Class information for:
Level 1: WHITE NOISE ANALYSIS//LEVY LAPLACIAN//INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS

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
20638 1                   WHITE NOISE ANALYSIS//LEVY LAPLACIAN//INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 476

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 WHITE NOISE ANALYSIS authKW 1264732 9% 47% 41
2 LEVY LAPLACIAN authKW 1059372 3% 100% 16
3 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS journal 915393 20% 15% 94
4 VITO VOLTERRA address 735637 6% 37% 30
5 QUANTUM WHITE NOISE authKW 536305 2% 90% 9
6 GENERALIZED OPERATOR authKW 529686 2% 100% 8
7 WICK PRODUCT authKW 512236 4% 37% 21
8 SECOND QUANTIZATION OPERATOR authKW 470830 2% 89% 8
9 HIGHER SCI TECHNOL HAMMAM SOUSSE address 463475 1% 100% 7
10 WHITE NOISE THEORY authKW 454006 3% 57% 12

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 10194 36% 0% 170
2 Physics, Mathematical 5606 30% 0% 145
3 Mathematics, Applied 5520 43% 0% 204
4 Mathematics 4797 44% 0% 208
5 Mathematics, Interdisciplinary Applications 3 1% 0% 5
6 Physics, Multidisciplinary 2 3% 0% 13
7 Social Sciences, Mathematical Methods 0 0% 0% 1
8 Business, Finance -0 0% 0% 1
9 Computer Science, Information Systems -0 1% 0% 3
10 Automation & Control Systems -1 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VITO VOLTERRA 735637 6% 37% 30
2 HIGHER SCI TECHNOL HAMMAM SOUSSE 463475 1% 100% 7
3 MATH FINANCE 147099 4% 11% 20
4 UNIV AL QUNFUDHA 132422 0% 100% 2
5 LEHRSTUHL MATH 5 132418 1% 50% 4
6 HIGHER PL SCI TECHNOL GABES 117704 1% 44% 4
7 LEHRSTUHL WAHR EINLICHKEITSTHEORIE STAT 99313 1% 50% 3
8 VOLTERRA 96301 1% 36% 4
9 BIBOS 86655 3% 11% 12
10 HIGH SCI TECHNOL HAMMAM SOUSSE 75232 1% 23% 5

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 915393 20% 15% 94
2 NAGOYA MATHEMATICAL JOURNAL 23991 4% 2% 21
3 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 14434 1% 4% 6
4 ACTA APPLICANDAE MATHEMATICAE 13508 4% 1% 21
5 JOURNAL OF FUNCTIONAL ANALYSIS 10813 7% 0% 33
6 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 10271 1% 3% 5
7 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS 9600 1% 2% 6
8 UKRAINIAN MATHEMATICAL JOURNAL 9206 3% 1% 12
9 ABEL SYMPOSIA 8658 2% 1% 11
10 THEORY OF PROBABILITY AND ITS APPLICATIONS 5563 3% 1% 13

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 WHITE NOISE ANALYSIS 1264732 9% 47% 41 Search WHITE+NOISE+ANALYSIS Search WHITE+NOISE+ANALYSIS
2 LEVY LAPLACIAN 1059372 3% 100% 16 Search LEVY+LAPLACIAN Search LEVY+LAPLACIAN
3 QUANTUM WHITE NOISE 536305 2% 90% 9 Search QUANTUM+WHITE+NOISE Search QUANTUM+WHITE+NOISE
4 GENERALIZED OPERATOR 529686 2% 100% 8 Search GENERALIZED+OPERATOR Search GENERALIZED+OPERATOR
5 WICK PRODUCT 512236 4% 37% 21 Search WICK+PRODUCT Search WICK+PRODUCT
6 SECOND QUANTIZATION OPERATOR 470830 2% 89% 8 Search SECOND+QUANTIZATION+OPERATOR Search SECOND+QUANTIZATION+OPERATOR
7 WHITE NOISE THEORY 454006 3% 57% 12 Search WHITE+NOISE+THEORY Search WHITE+NOISE+THEORY
8 OPERATOR SYMBOL 325955 2% 62% 8 Search OPERATOR+SYMBOL Search OPERATOR+SYMBOL
9 GROSS LAPLACIAN 275877 1% 83% 5 Search GROSS+LAPLACIAN Search GROSS+LAPLACIAN
10 QUANTUM GROSS LAPLACIAN 264843 1% 100% 4 Search QUANTUM+GROSS+LAPLACIAN Search QUANTUM+GROSS+LAPLACIAN

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 26483 FEYNMAN FORMULA//CHERNOFFS THEOREM//CHERNOFF THEOREM
2 19552 GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION//FOURIER FEYNMAN TRANSFORM
3 8873 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
4 7273 QUANTUM FEEDBACK CONTROL//QUANTUM FILTERING//QUANTUM CONTROL
5 12589 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
6 25347 VLASOV SCALING//SPATIAL BIRTH AND DEATH PROCESSES//BIBOS
7 35146 POISSON AND FOURIER TRANSFORMS//INFINITE DIMENSIONAL LEBESGUE MEASURE//CURRENT GROUP
8 14412 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
9 32276 BASIS SET FOR BAND CALCULATIONS//BATL ENVIRONM HLTH//CPT PHYMAT
10 31665 DIVERGENT PERMUTATIONS//CONVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE

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