Class information for:
Level 1: OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8449 1252 23.4 48%


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

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 1727068 9% 61% 116
2 OPTIMAL TRANSPORTATION authKW 947576 5% 57% 68
3 MONGE KANTOROVICH PROBLEM authKW 729125 3% 71% 42
4 MONGE AMPERE EQUATION authKW 525278 6% 30% 71
5 CURVATURE DIMENSION CONDITION authKW 298745 1% 88% 14
6 WASSERSTEIN METRIC authKW 250085 2% 35% 29
7 MEASURE CONTRACTION PROPERTY authKW 219489 1% 100% 9
8 MONGE KANTOROVICH authKW 210774 1% 79% 11
9 OPTIMAL MASS TRANSPORT authKW 201379 1% 52% 16
10 WASSERSTEIN DISTANCE authKW 192154 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 23845 59% 0% 742
2 Mathematics, Applied 20517 51% 0% 634
3 Statistics & Probability 861 7% 0% 86
4 Automation & Control Systems 181 3% 0% 36
5 Physics, Mathematical 87 3% 0% 38
6 Mathematics, Interdisciplinary Applications 69 2% 0% 27
7 Mechanics 62 4% 0% 44
8 Social Sciences, Mathematical Methods 35 1% 0% 10
9 Operations Research & Management Science 30 2% 0% 20
10 Computer Science, Software Engineering 28 2% 0% 20

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 RECH XLIM DMI 55740 0% 57% 4
2 CEREMADE 48369 4% 4% 50
3 MOK LAN 43895 0% 60% 3
4 SCI CASA 1 32516 0% 67% 2
5 ABT STOCHAST ANAL 24388 0% 100% 1
6 ACT OTTO 24388 0% 100% 1
7 CANC CHAIR MATH ECON 24388 0% 100% 1
8 CIENCIAS ESTADIST INVEST OPERAT 24388 0% 100% 1
9 CONICETPROGRAMA ESPECIAL MATEMAT LICADA 24388 0% 100% 1
10 CRM GIORGI 24388 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 68638 5% 4% 67
2 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 24272 2% 4% 28
3 ADVANCES IN CALCULUS OF VARIATIONS 16026 1% 7% 10
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 12761 4% 1% 44
5 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 11674 3% 1% 35
6 JOURNAL OF FUNCTIONAL ANALYSIS 8594 4% 1% 48
7 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 8479 2% 2% 22
8 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 7459 2% 2% 20
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6983 2% 1% 31
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 6073 2% 1% 20

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 1727068 9% 61% 116 Search OPTIMAL+TRANSPORT Search OPTIMAL+TRANSPORT
2 OPTIMAL TRANSPORTATION 947576 5% 57% 68 Search OPTIMAL+TRANSPORTATION Search OPTIMAL+TRANSPORTATION
3 MONGE KANTOROVICH PROBLEM 729125 3% 71% 42 Search MONGE+KANTOROVICH+PROBLEM Search MONGE+KANTOROVICH+PROBLEM
4 MONGE AMPERE EQUATION 525278 6% 30% 71 Search MONGE+AMPERE+EQUATION Search MONGE+AMPERE+EQUATION
5 CURVATURE DIMENSION CONDITION 298745 1% 88% 14 Search CURVATURE+DIMENSION+CONDITION Search CURVATURE+DIMENSION+CONDITION
6 WASSERSTEIN METRIC 250085 2% 35% 29 Search WASSERSTEIN+METRIC Search WASSERSTEIN+METRIC
7 MEASURE CONTRACTION PROPERTY 219489 1% 100% 9 Search MEASURE+CONTRACTION+PROPERTY Search MEASURE+CONTRACTION+PROPERTY
8 MONGE KANTOROVICH 210774 1% 79% 11 Search MONGE+KANTOROVICH Search MONGE+KANTOROVICH
9 OPTIMAL MASS TRANSPORT 201379 1% 52% 16 Search OPTIMAL+MASS+TRANSPORT Search OPTIMAL+MASS+TRANSPORT
10 WASSERSTEIN DISTANCE 192154 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 79 66% 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 VILLANI, C , (2016) SYNTHETIC THEORY OF RICCI CURVATURE BOUNDS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 2. P. 219 -263 40 82% 0
8 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 43 78% 22
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 1


Rank Class id link
1 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY
2 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
3 28574 BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//MODIFIED RAYLEIGH CONJECTURE
4 26586 MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM
5 13801 INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS
6 9891 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
7 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
8 29279 FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION
9 28669 FINITARY ISOMORPHISM//SHIFT COUPLING//PALM MEASURE
10 30340 LOCALLY CONVEX CONES//WEAK CONVERGENCE OF VECTOR MEASURES//46A55

Go to start page