Class information for:
Level 1: STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION

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
5779 1                   STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION 1605

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS authKW 1657733 16% 33% 254
2 STOCHASTIC NAVIER STOKES EQUATIONS authKW 1046306 5% 73% 73
3 STOCHASTIC WAVE EQUATION authKW 584790 3% 68% 44
4 STOCHASTIC HEAT EQUATION authKW 510456 3% 50% 52
5 SPACE TIME WHITE NOISE authKW 322926 2% 66% 25
6 INVARIANT MEASURE authKW 306661 7% 13% 116
7 MARTINGALE SOLUTION authKW 227191 1% 64% 18
8 STOCHASTIC EVOLUTION EQUATIONS authKW 223652 2% 38% 30
9 STOCHASTIC POROUS MEDIUM EQUATION authKW 182753 1% 85% 11
10 SPDES authKW 171938 1% 52% 17

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 31252 34% 0% 547
2 Mathematics, Applied 20049 44% 0% 713
3 Mathematics 11188 37% 0% 588
4 Physics, Mathematical 1675 10% 0% 154
5 Mathematics, Interdisciplinary Applications 31 1% 0% 24
6 Logic 2 0% 0% 2
7 Mechanics 2 1% 0% 24
8 Automation & Control Systems 1 1% 0% 10
9 Engineering, General 0 1% 0% 11
10 Computer Science, Software Engineering 0 1% 0% 10

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BIBOSIZKS 58905 0% 100% 3
2 DIPARTMENTO MATEMAT PLICATA 58905 0% 100% 3
3 DELFT PL MATH 51924 2% 7% 37
4 ANTENNE BRETAGNE 49072 1% 25% 10
5 DECIS RISK CONTROLS SIGNALS INTELLIGENCE DR 39270 0% 100% 2
6 DIP MATEMAT DECIS 39270 0% 100% 2
7 OFF PROVOST VICE CHANCELLOR 39270 0% 100% 2
8 OFF VICE CHANCELLOR PROVOST 39270 0% 100% 2
9 OPTIMIERUNG STOCHAST 35056 0% 36% 5
10 EDP ORSAY 26179 0% 67% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ABEL SYMPOSIA 66607 3% 6% 56
2 POTENTIAL ANALYSIS 51149 3% 5% 52
3 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 50927 6% 3% 95
4 STOCHASTIC ANALYSIS AND APPLICATIONS 31995 2% 5% 33
5 STOCHASTICS AND DYNAMICS 31182 2% 6% 26
6 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 25787 2% 5% 29
7 PROBABILITY THEORY AND RELATED FIELDS 24176 3% 2% 54
8 ELECTRONIC JOURNAL OF PROBABILITY 23907 2% 3% 37
9 APPLIED MATHEMATICS AND OPTIMIZATION 21087 2% 3% 35
10 ANNALS OF PROBABILITY 20895 4% 2% 59

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS 1657733 16% 33% 254 Search STOCHASTIC+PARTIAL+DIFFERENTIAL+EQUATIONS Search STOCHASTIC+PARTIAL+DIFFERENTIAL+EQUATIONS
2 STOCHASTIC NAVIER STOKES EQUATIONS 1046306 5% 73% 73 Search STOCHASTIC+NAVIER+STOKES+EQUATIONS Search STOCHASTIC+NAVIER+STOKES+EQUATIONS
3 STOCHASTIC WAVE EQUATION 584790 3% 68% 44 Search STOCHASTIC+WAVE+EQUATION Search STOCHASTIC+WAVE+EQUATION
4 STOCHASTIC HEAT EQUATION 510456 3% 50% 52 Search STOCHASTIC+HEAT+EQUATION Search STOCHASTIC+HEAT+EQUATION
5 SPACE TIME WHITE NOISE 322926 2% 66% 25 Search SPACE+TIME+WHITE+NOISE Search SPACE+TIME+WHITE+NOISE
6 INVARIANT MEASURE 306661 7% 13% 116 Search INVARIANT+MEASURE Search INVARIANT+MEASURE
7 MARTINGALE SOLUTION 227191 1% 64% 18 Search MARTINGALE+SOLUTION Search MARTINGALE+SOLUTION
8 STOCHASTIC EVOLUTION EQUATIONS 223652 2% 38% 30 Search STOCHASTIC+EVOLUTION+EQUATIONS Search STOCHASTIC+EVOLUTION+EQUATIONS
9 STOCHASTIC POROUS MEDIUM EQUATION 182753 1% 85% 11 Search STOCHASTIC+POROUS+MEDIUM+EQUATION Search STOCHASTIC+POROUS+MEDIUM+EQUATION
10 SPDES 171938 1% 52% 17 Search SPDES Search SPDES

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 14412 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
2 8124 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
3 27553 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
4 20895 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
5 8898 STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD
6 10426 SUPERPROCESS//SUPER BROWNIAN MOTION//BRANCHING PARTICLE SYSTEM
7 8873 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
8 23035 APPROXIMATE DECONVOLUTION//NS ALPHA//DECONVOLUTION MODELS
9 22680 BURGERS TURBULENCE//RANDOM INITIAL VELOCITY//STOCHAST CHAOT PROC SCI TECHNOL
10 4103 BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//FORWARD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS//G EXPECTATION

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