Class information for:
Level 1: SELF SIMILAR MARKOV PROCESS//BESSEL PROCESS//EXPONENTIAL FUNCTIONAL

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
10413 1                   SELF SIMILAR MARKOV PROCESS//BESSEL PROCESS//EXPONENTIAL FUNCTIONAL 1095

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SELF SIMILAR MARKOV PROCESS authKW 535761 2% 85% 22
2 BESSEL PROCESS authKW 413880 5% 28% 52
3 EXPONENTIAL FUNCTIONAL authKW 396966 2% 69% 20
4 LEVY PROCESS authKW 386988 13% 10% 139
5 LAMPERTI REPRESENTATION authKW 290206 1% 92% 11
6 EXCURSION THEORY authKW 278574 2% 44% 22
7 PROBABIL address 264658 5% 17% 54
8 PROBABIL MODELES ALEATOI address 201409 6% 11% 62
9 PLANAR BROWNIAN MOTION authKW 179873 1% 63% 10
10 BOUGEROLS IDENTITY authKW 172685 1% 100% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 72323 62% 0% 682
2 Mathematics 4067 27% 0% 298
3 Social Sciences, Mathematical Methods 1470 5% 0% 51
4 Mathematics, Interdisciplinary Applications 427 5% 0% 54
5 Mathematics, Applied 260 7% 0% 81
6 Physics, Mathematical 183 4% 0% 47
7 Economics 152 5% 0% 55
8 Business, Finance 77 1% 0% 16
9 Operations Research & Management Science 10 1% 0% 13
10 Multidisciplinary Sciences 1 0% 0% 5

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROBABIL 264658 5% 17% 54
2 PROBABIL MODELES ALEATOI 201409 6% 11% 62
3 UNITE MIXTE RECH CNRS PARIS SUD 57562 0% 100% 2
4 FINANCE PL STAT 52696 1% 13% 14
5 LSTA CNRS URA 1321 38373 0% 67% 2
6 AHH MED STATE 28781 0% 100% 1
7 ANALYSE MODELES STOCHASTUP A 6085 28781 0% 100% 1
8 CALCUL PROBABIL 28781 0% 100% 1
9 CNRS URA 1321 LSTA 28781 0% 100% 1
10 COMPLEXE SCI CEZEAUXCNRS UMR 6620 28781 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALS OF PROBABILITY 56468 7% 2% 80
2 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 51673 4% 4% 48
3 ELECTRONIC COMMUNICATIONS IN PROBABILITY 43917 3% 4% 36
4 JOURNAL OF THEORETICAL PROBABILITY 40441 4% 3% 41
5 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 34946 6% 2% 65
6 PROBABILITY THEORY AND RELATED FIELDS 28028 4% 2% 48
7 ELECTRONIC JOURNAL OF PROBABILITY 24613 3% 3% 31
8 BERNOULLI 19975 3% 2% 30
9 INSURANCE MATHEMATICS & ECONOMICS 18946 3% 2% 38
10 JOURNAL OF APPLIED PROBABILITY 15702 4% 1% 44

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SELF SIMILAR MARKOV PROCESS 535761 2% 85% 22 Search SELF+SIMILAR+MARKOV+PROCESS Search SELF+SIMILAR+MARKOV+PROCESS
2 BESSEL PROCESS 413880 5% 28% 52 Search BESSEL+PROCESS Search BESSEL+PROCESS
3 EXPONENTIAL FUNCTIONAL 396966 2% 69% 20 Search EXPONENTIAL+FUNCTIONAL Search EXPONENTIAL+FUNCTIONAL
4 LEVY PROCESS 386988 13% 10% 139 Search LEVY+PROCESS Search LEVY+PROCESS
5 LAMPERTI REPRESENTATION 290206 1% 92% 11 Search LAMPERTI+REPRESENTATION Search LAMPERTI+REPRESENTATION
6 EXCURSION THEORY 278574 2% 44% 22 Search EXCURSION+THEORY Search EXCURSION+THEORY
7 PLANAR BROWNIAN MOTION 179873 1% 63% 10 Search PLANAR+BROWNIAN+MOTION Search PLANAR+BROWNIAN+MOTION
8 BOUGEROLS IDENTITY 172685 1% 100% 6 Search BOUGEROLS+IDENTITY Search BOUGEROLS+IDENTITY
9 CONDITIONING TO STAY POSITIVE 172685 1% 100% 6 Search CONDITIONING+TO+STAY+POSITIVE Search CONDITIONING+TO+STAY+POSITIVE
10 ARC SINE LAW 165822 1% 52% 11 Search ARC+SINE+LAW Search ARC+SINE+LAW

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 9905 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BRANCHING BROWNIAN MOTION
2 9289 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
3 20217 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
4 3169 RUIN PROBABILITY//INSURANCE MATHEMATICS & ECONOMICS//SUBEXPONENTIAL DISTRIBUTION
5 20081 OPTIMAL STOPPING//SKOROKHOD EMBEDDING PROBLEM//MAXIMUM PROCESS
6 16733 CARMA PROCESS//FRACTIONAL LEVY PROCESS//INFINITELY DIVISIBLE PROCESSES
7 17082 ONE SIDED EXIT PROBLEM//UMR C5626//ONE SIDED BARRIER PROBLEM
8 27080 EXCITED RANDOM WALK//REINFORCED RANDOM WALK//SELF INTERACTING RANDOM WALK
9 6654 LEVY SYSTEM//DIRICHLET FORM//SYMMETRIC STABLE PROCESS
10 25429 VARIABLE ANNUITIES//SURRENDER OPTION//PARISIAN OPTIONS

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