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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26586 251 24.0 47%


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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
2434 2             HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS 4110
26586 1                   MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM 251

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 MEAN FIELD GAMES authKW 9193585 37% 82% 92
2 MEAN FIELD TYPE CONTROL authKW 486619 2% 100% 4
3 DYNAMIC BLOCKING PROBLEM authKW 364964 1% 100% 3
4 CSMSE address 304132 2% 50% 5
5 BOLTZMANN TYPE EQUATION authKW 243309 1% 100% 2
6 CONFINEMENT STRATEGIES authKW 243309 1% 100% 2
7 CONSTRAINED MINIMUM TIME PROBLEM authKW 243309 1% 100% 2
8 CONSTRUCTIVE SCHEME authKW 243309 1% 100% 2
9 DIFFERENTIAL INCLUSION WITH OBSTACLES authKW 243309 1% 100% 2
10 DOMINATING PLAYER authKW 243309 1% 100% 2

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 Mathematics, Applied 4799 55% 0% 137
2 Automation & Control Systems 2878 22% 0% 56
3 Mathematics 1144 30% 0% 75
4 Mathematics, Interdisciplinary Applications 613 12% 0% 29
5 Statistics & Probability 109 6% 0% 14
6 Operations Research & Management Science 48 4% 0% 9
7 Engineering, Electrical & Electronic 31 9% 0% 23
8 Social Sciences, Mathematical Methods 18 1% 0% 3
9 Economics 14 4% 0% 9
10 Mechanics 6 3% 0% 7

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 CSMSE 304132 2% 50% 5
2 JACQUES LOUIS LIONSUMR 7598SORBONNE PARIS C 243309 1% 100% 2
3 ORFE 211933 5% 13% 13
4 UNCERTAINTY QUANTIFICAT COMPUTAT SCI ENGN 199063 2% 27% 6
5 KAUST SRI 162205 1% 67% 2
6 INT DECIS RISK ANAL 149015 3% 18% 7
7 CEREMADE UMR 7535 121655 0% 100% 1
8 CEREMADE UMR 7549 121655 0% 100% 1
9 ENGIN SCI 121655 0% 100% 1
10 ETSEIB MATEMAT 121655 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 DYNAMIC GAMES AND APPLICATIONS 146259 6% 9% 14
2 APPLIED MATHEMATICS AND OPTIMIZATION 31470 7% 2% 17
3 NETWORKS AND HETEROGENEOUS MEDIA 18836 3% 2% 8
4 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 14722 8% 1% 21
5 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 7570 3% 1% 7
6 MATHEMATICS AND FINANCIAL ECONOMICS 6079 1% 3% 2
7 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 4290 3% 1% 7
8 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 3200 7% 0% 17
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 2437 2% 1% 4
10 SET-VALUED AND VARIATIONAL ANALYSIS 1904 1% 1% 2

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 MEAN FIELD GAMES 9193585 37% 82% 92 Search MEAN+FIELD+GAMES Search MEAN+FIELD+GAMES
2 MEAN FIELD TYPE CONTROL 486619 2% 100% 4 Search MEAN+FIELD+TYPE+CONTROL Search MEAN+FIELD+TYPE+CONTROL
3 DYNAMIC BLOCKING PROBLEM 364964 1% 100% 3 Search DYNAMIC+BLOCKING+PROBLEM Search DYNAMIC+BLOCKING+PROBLEM
4 BOLTZMANN TYPE EQUATION 243309 1% 100% 2 Search BOLTZMANN+TYPE+EQUATION Search BOLTZMANN+TYPE+EQUATION
5 CONFINEMENT STRATEGIES 243309 1% 100% 2 Search CONFINEMENT+STRATEGIES Search CONFINEMENT+STRATEGIES
6 CONSTRAINED MINIMUM TIME PROBLEM 243309 1% 100% 2 Search CONSTRAINED+MINIMUM+TIME+PROBLEM Search CONSTRAINED+MINIMUM+TIME+PROBLEM
7 CONSTRUCTIVE SCHEME 243309 1% 100% 2 Search CONSTRUCTIVE+SCHEME Search CONSTRUCTIVE+SCHEME
8 DIFFERENTIAL INCLUSION WITH OBSTACLES 243309 1% 100% 2 Search DIFFERENTIAL+INCLUSION+WITH+OBSTACLES Search DIFFERENTIAL+INCLUSION+WITH+OBSTACLES
9 DOMINATING PLAYER 243309 1% 100% 2 Search DOMINATING+PLAYER Search DOMINATING+PLAYER
10 INITIAL TERMINAL VALUE PROBLEM 243309 1% 100% 2 Search INITIAL+TERMINAL+VALUE+PROBLEM Search INITIAL+TERMINAL+VALUE+PROBLEM

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 ACHDOU, Y , BARDI, M , CIRANT, M , (2017) MEAN FIELD GAMES MODELS OF SEGREGATION.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 27. ISSUE 1. P. 75 -113 21 81% 1
2 GOMES, DA , PIMENTEL, E , SANCHEZ-MORGADO, H , (2016) TIME-DEPENDENT MEAN-FIELD GAMES IN THE SUPERQUADRATIC CASE.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 22. ISSUE 2. P. 562 -580 26 90% 2
3 GRABER, PJ , (2016) LINEAR QUADRATIC MEAN FIELD TYPE CONTROL AND MEAN FIELD GAMES WITH COMMON NOISE, WITH APPLICATION TO PRODUCTION OF AN EXHAUSTIBLE RESOURCE.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 74. ISSUE 3. P. 459 -486 29 88% 0
4 BENSOUSSAN, A , SUNG, KCJ , YAM, SCP , YUNG, SP , (2016) LINEAR-QUADRATIC MEAN FIELD GAMES.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 169. ISSUE 2. P. 496 -529 27 79% 2
5 GOMES, DA , PIMENTEL, EA , SANCHEZ-MORGADO, H , (2015) TIME-DEPENDENT MEAN-FIELD GAMES IN THE SUBQUADRATIC CASE.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 40. ISSUE 1. P. 40 -76 21 78% 9
6 GUEANT, O , (2015) EXISTENCE AND UNIQUENESS RESULT FOR MEAN FIELD GAMES WITH CONGESTION EFFECT ON GRAPHS.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 72. ISSUE 2. P. 291 -303 17 100% 3
7 GOMES, DA , VOSKANYAN, VK , (2015) SHORT-TIME EXISTENCE OF SOLUTIONS FOR MEAN-FIELD GAMES WITH CONGESTION.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 92. ISSUE . P. 778 -799 19 90% 1
8 GOMES, DA , SAUDE, J , (2014) MEAN FIELD GAMES MODELS-A BRIEF SURVEY.DYNAMIC GAMES AND APPLICATIONS. VOL. 4. ISSUE 2. P. 110 -154 20 65% 36
9 ACHDOU, Y , PORRETTA, A , (2016) CONVERGENCE OF A FINITE DIFFERENCE SCHEME TO WEAK SOLUTIONS OF THE SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MEAN FIELD GAMES.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 54. ISSUE 1. P. 161 -186 19 79% 0
10 GOMES, DA , PIMENTEL, E , (2015) TIME-DEPENDENT MEAN-FIELD GAMES WITH LOGARITHMIC NONLINEARITIES.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 47. ISSUE 5. P. 3798 -3812 16 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 14490 WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION
2 5588 BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//FORWARD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS//G EXPECTATION
3 5572 HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION
4 23709 DISCRETE TIME DYNAMIC MODELS//LINEAR QUADRATIC GAMES//STACKELBERG GAMES
5 8449 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
6 10729 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT
7 28764 MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES
8 21257 STOCHASTIC GAMES//UNIFORM VALUE//DYNKIN GAMES
9 25871 RATIONAL EXEMPTION//ECONOMIC EPIDEMIOLOGY//VACCINATING BEHAVIOUR
10 21417 WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//FR CNRS MATH 2956

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