Class information for:
Level 1: MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM

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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1416 2             VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN CURVATURE FLOW 8208
27438 1                   MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM 249

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MEAN FIELD GAMES authKW 10695413 42% 81% 104
2 MEAN FIELD TYPE CONTROL authKW 632867 2% 100% 5
3 DYNAMIC BLOCKING PROBLEM authKW 379720 1% 100% 3
4 CSMSE address 316429 2% 50% 5
5 MEAN FIELD CONTROL authKW 284789 1% 75% 3
6 ORFE address 271203 6% 14% 15
7 CONFINEMENT STRATEGIES authKW 253147 1% 100% 2
8 CONSTRAINED MINIMUM TIME PROBLEM authKW 253147 1% 100% 2
9 CONSTRUCTIVE SCHEME authKW 253147 1% 100% 2
10 DIFFERENTIAL INCLUSION WITH OBSTACLES authKW 253147 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 4549 53% 0% 133
2 Automation & Control Systems 3611 25% 0% 63
3 Mathematics, Interdisciplinary Applications 707 12% 0% 31
4 Mathematics 590 22% 0% 55
5 Statistics & Probability 110 6% 0% 14
6 Operations Research & Management Science 62 4% 0% 10
7 Engineering, Electrical & Electronic 55 11% 0% 28
8 Economics 38 5% 0% 13
9 Social Sciences, Mathematical Methods 35 2% 0% 4
10 Business, Finance 11 1% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CSMSE 316429 2% 50% 5
2 ORFE 271203 6% 14% 15
3 JACQUES LOUIS LIONSUMR 7598SORBONNE PARIS C 253147 1% 100% 2
4 INT DECIS RISK ANAL 244092 4% 21% 9
5 UNCERTAINTY QUANTIFICAT COMPUTAT SCI ENGN 198106 2% 26% 6
6 KAUST SRI 168763 1% 67% 2
7 CEREMADE UMR 7535 126573 0% 100% 1
8 CEREMADE UMR 7549 126573 0% 100% 1
9 JINDAL MANAGEMENTINT DECIS RISK ANAL 126573 0% 100% 1
10 KAUST STRATEG INITIAT UNCERTAINTY QUANTIF 126573 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DYNAMIC GAMES AND APPLICATIONS 158189 6% 8% 15
2 APPLIED MATHEMATICS AND OPTIMIZATION 53837 9% 2% 22
3 NETWORKS AND HETEROGENEOUS MEDIA 18955 3% 2% 8
4 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 17853 9% 1% 23
5 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 5641 2% 1% 6
6 MATHEMATICS AND FINANCIAL ECONOMICS 5499 1% 2% 2
7 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 5356 9% 0% 22
8 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 4363 3% 0% 7
9 COMMUNICATIONS IN MATHEMATICAL SCIENCES 2585 2% 1% 4
10 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 2415 2% 0% 4

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MEAN FIELD GAMES 10695413 42% 81% 104 Search MEAN+FIELD+GAMES Search MEAN+FIELD+GAMES
2 MEAN FIELD TYPE CONTROL 632867 2% 100% 5 Search MEAN+FIELD+TYPE+CONTROL Search MEAN+FIELD+TYPE+CONTROL
3 DYNAMIC BLOCKING PROBLEM 379720 1% 100% 3 Search DYNAMIC+BLOCKING+PROBLEM Search DYNAMIC+BLOCKING+PROBLEM
4 MEAN FIELD CONTROL 284789 1% 75% 3 Search MEAN+FIELD+CONTROL Search MEAN+FIELD+CONTROL
5 CONFINEMENT STRATEGIES 253147 1% 100% 2 Search CONFINEMENT+STRATEGIES Search CONFINEMENT+STRATEGIES
6 CONSTRAINED MINIMUM TIME PROBLEM 253147 1% 100% 2 Search CONSTRAINED+MINIMUM+TIME+PROBLEM Search CONSTRAINED+MINIMUM+TIME+PROBLEM
7 CONSTRUCTIVE SCHEME 253147 1% 100% 2 Search CONSTRUCTIVE+SCHEME Search CONSTRUCTIVE+SCHEME
8 DIFFERENTIAL INCLUSION WITH OBSTACLES 253147 1% 100% 2 Search DIFFERENTIAL+INCLUSION+WITH+OBSTACLES Search DIFFERENTIAL+INCLUSION+WITH+OBSTACLES
9 DOMINATING PLAYER 253147 1% 100% 2 Search DOMINATING+PLAYER Search DOMINATING+PLAYER
10 FORWARD BACKWARD STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS 253147 1% 100% 2 Search FORWARD+BACKWARD+STOCHASTIC+FUNCTIONAL+DIFFERENTIAL+EQUATIONS Search FORWARD+BACKWARD+STOCHASTIC+FUNCTIONAL+DIFFERENTIAL+EQUATIONS

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 14774 WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION
2 4103 BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//FORWARD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS//G EXPECTATION
3 18921 LARGE GAMES//SATURATED PROBABILITY SPACE//EXACT LAW OF LARGE NUMBERS
4 28122 DISCRETE TIME DYNAMIC MODELS//STACKELBERG GAMES//INVERSE STACKELBERG GAMES
5 21202 STOCHASTIC GAMES//UNIFORM VALUE//STOPPING GAME
6 6236 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//VISCOSITY SOLUTION
7 9105 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
8 25360 RISK SENSITIVE FILTERS//WITSENHAUSEN COUNTEREXAMPLE//RISK SENSITIVE ESTIMATION
9 11791 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT
10 27966 MONOTONE COMPARATIVE STATICS//SINGLE CROSSING PROPERTY//SUPERMODULAR GAMES

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