Class information for:
Level 2: OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3487 1456 22.1 46%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
3487 2             OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM 1456
8449 1                   OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM 1252
28574 1                   BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//MODIFIED RAYLEIGH CONJECTURE 204

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 OPTIMAL TRANSPORT authKW 1485056 8% 61% 116
2 OPTIMAL TRANSPORTATION authKW 838935 5% 58% 69
3 MONGE KANTOROVICH PROBLEM authKW 657168 3% 73% 43
4 MONGE AMPERE EQUATION authKW 451661 5% 30% 71
5 CURVATURE DIMENSION CONDITION authKW 256884 1% 88% 14
6 WASSERSTEIN METRIC authKW 215037 2% 35% 29
7 OPTIMAL MASS TRANSPORT authKW 195483 1% 55% 17
8 MEASURE CONTRACTION PROPERTY authKW 188734 1% 100% 9
9 MONGE KANTOROVICH authKW 181240 1% 79% 11
10 WASSERSTEIN DISTANCE authKW 165220 3% 20% 40

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 26042 57% 0% 837
2 Mathematics, Applied 21565 48% 0% 702
3 Statistics & Probability 756 6% 0% 88
4 Automation & Control Systems 200 3% 0% 41
5 Physics, Mathematical 170 4% 0% 54
6 Mechanics 94 4% 0% 56
7 Engineering, Aerospace 84 1% 0% 20
8 Mathematics, Interdisciplinary Applications 71 2% 0% 30
9 Social Sciences, Mathematical Methods 43 1% 0% 12
10 Operations Research & Management Science 34 2% 0% 23

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 CEREMADE 54051 4% 5% 57
2 RECH XLIM DMI 47929 0% 57% 4
3 MOK LAN 37744 0% 60% 3
4 RD MATH PLICAT 30832 0% 29% 5
5 CANADA CHAIR MATH ECON 30497 0% 36% 4
6 SCI CASA 1 27959 0% 67% 2
7 UMR 7534 23134 1% 6% 20
8 ABT STOCHAST ANAL 20970 0% 100% 1
9 ACT OTTO 20970 0% 100% 1
10 CANC CHAIR MATH ECON 20970 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 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 66266 5% 4% 71
2 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 22382 2% 4% 29
3 ADVANCES IN CALCULUS OF VARIATIONS 16673 1% 7% 11
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 13053 3% 1% 48
5 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 11212 3% 1% 37
6 JOURNAL OF FUNCTIONAL ANALYSIS 7376 3% 1% 48
7 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 7285 2% 2% 22
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6799 2% 1% 33
9 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 6408 1% 2% 20
10 JOURNAL OF CONVEX ANALYSIS 6270 1% 2% 16

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 OPTIMAL TRANSPORT 1485056 8% 61% 116 Search OPTIMAL+TRANSPORT Search OPTIMAL+TRANSPORT
2 OPTIMAL TRANSPORTATION 838935 5% 58% 69 Search OPTIMAL+TRANSPORTATION Search OPTIMAL+TRANSPORTATION
3 MONGE KANTOROVICH PROBLEM 657168 3% 73% 43 Search MONGE+KANTOROVICH+PROBLEM Search MONGE+KANTOROVICH+PROBLEM
4 MONGE AMPERE EQUATION 451661 5% 30% 71 Search MONGE+AMPERE+EQUATION Search MONGE+AMPERE+EQUATION
5 CURVATURE DIMENSION CONDITION 256884 1% 88% 14 Search CURVATURE+DIMENSION+CONDITION Search CURVATURE+DIMENSION+CONDITION
6 WASSERSTEIN METRIC 215037 2% 35% 29 Search WASSERSTEIN+METRIC Search WASSERSTEIN+METRIC
7 OPTIMAL MASS TRANSPORT 195483 1% 55% 17 Search OPTIMAL+MASS+TRANSPORT Search OPTIMAL+MASS+TRANSPORT
8 MEASURE CONTRACTION PROPERTY 188734 1% 100% 9 Search MEASURE+CONTRACTION+PROPERTY Search MEASURE+CONTRACTION+PROPERTY
9 MONGE KANTOROVICH 181240 1% 79% 11 Search MONGE+KANTOROVICH Search MONGE+KANTOROVICH
10 WASSERSTEIN DISTANCE 165220 3% 20% 40 Search WASSERSTEIN+DISTANCE Search WASSERSTEIN+DISTANCE

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 MCCANN, RJ , (2014) A GLIMPSE INTO THE DIFFERENTIAL TOPOLOGY AND GEOMETRY OF OPTIMAL TRANSPORT.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 34. ISSUE 4. P. 1605-1621 63 95% 1
2 DE PHILIPPIS, G , FIGALLI, A , (2014) THE MONGE-AMPERE EQUATION AND ITS LINK TO OPTIMAL TRANSPORTATION.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 51. ISSUE 4. P. 527 -580 59 91% 5
3 BOGACHEV, VI , KOLESNIKOV, AV , (2012) THE MONGE-KANTOROVICH PROBLEM: ACHIEVEMENTS, CONNECTIONS, AND PERSPECTIVES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 67. ISSUE 5. P. 785 -890 80 67% 17
4 AMBROSIO, L , GIGLI, N , (2013) A USER'S GUIDE TO OPTIMAL TRANSPORT.MODELLING AND OPTIMISATION OF FLOWS ON NETWORKS, CETRARO, ITALY 2009. VOL. 2062. ISSUE . P. 1 -155 50 89% 3
5 AHMAD, N , KIM, HK , MCCANN, RJ , (2011) OPTIMAL TRANSPORTATION, TOPOLOGY AND UNIQUENESS.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 1. ISSUE 1. P. 13-32 54 82% 10
6 FIGALLI, A , KIM, YH , MCCANN, RJ , (2013) HOLDER CONTINUITY AND INJECTIVITY OF OPTIMAL MAPS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 209. ISSUE 3. P. 747-795 38 100% 11
7 CAFFARELLI, LA , MCCANN, RJ , (2010) FREE BOUNDARIES IN OPTIMAL TRANSPORT AND MONGE-AMPERE OBSTACLE PROBLEMS.ANNALS OF MATHEMATICS. VOL. 171. ISSUE 2. P. 673 -730 45 82% 22
8 VILLANI, C , (2016) SYNTHETIC THEORY OF RICCI CURVATURE BOUNDS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 2. P. 219 -263 40 82% 0
9 PASS, B , (2015) MULTI-MARGINAL OPTIMAL TRANSPORT: THEORY AND APPLICATIONS.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. VOL. 49. ISSUE 6. P. 1771 -1790 38 79% 1
10 VETOIS, J , (2015) CONTINUITY AND INJECTIVITY OF OPTIMAL MAPS.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 52. ISSUE 3-4. P. 587 -607 29 100% 1

Classes with closest relation at Level 2


Rank Class id link
1 2434 HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS
2 3900 FINSLER METRIC//ALPHA BETA METRIC//FLAG CURVATURE
3 3300 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
4 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
5 291 MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
6 810 BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED
7 499 FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME
8 3652 LOEB MEASURE//LOCALLY CONVEX CONES//ULTRACOPRODUCT
9 2478 CONVEX BODY//STAR BODY//INTERSECTION BODY
10 2349 P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL

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