Class information for:
Level 1: OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH 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
9105 1                   OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM 1217

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 OPTIMAL TRANSPORT authKW 2128219 11% 62% 132
2 OPTIMAL TRANSPORTATION authKW 994201 6% 56% 69
3 MONGE KANTOROVICH PROBLEM authKW 667551 3% 66% 39
4 CURVATURE DIMENSION CONDITION authKW 317217 1% 88% 14
5 MEASURE CONTRACTION PROPERTY authKW 258955 1% 100% 10
6 WASSERSTEIN METRIC authKW 250285 2% 33% 29
7 MONGE KANTOROVICH authKW 223807 1% 79% 11
8 WASSERSTEIN DISTANCE authKW 196903 3% 19% 41
9 WASSERSTEIN SPACE authKW 184307 1% 65% 11
10 OPTIMAL TRANSPORT PATH authKW 181269 1% 100% 7

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 22257 58% 0% 709
2 Mathematics, Applied 19902 51% 0% 616
3 Statistics & Probability 1005 7% 0% 91
4 Automation & Control Systems 195 3% 0% 37
5 Physics, Mathematical 157 4% 0% 47
6 Mechanics 79 4% 0% 47
7 Mathematics, Interdisciplinary Applications 78 2% 0% 28
8 Social Sciences, Mathematical Methods 68 1% 0% 13
9 Operations Research & Management Science 42 2% 0% 22
10 Computer Science, Software Engineering 22 1% 0% 18

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RECH XLIM DMI 59186 0% 57% 4
2 CEREMADE 49023 4% 4% 50
3 LEHRSTUHL MATH ANAL 46610 0% 60% 3
4 SCI CASA 1 34526 0% 67% 2
5 MOK LAN 29129 0% 38% 3
6 ABT STOCHAST ANAL 25896 0% 100% 1
7 ACT OTTO 25896 0% 100% 1
8 CANC CHAIR MATH ECON 25896 0% 100% 1
9 CIENCIAS ESTADIST INVEST OPERAT 25896 0% 100% 1
10 CRM GIORGI 25896 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 71840 6% 4% 69
2 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 23369 2% 3% 27
3 ADVANCES IN CALCULUS OF VARIATIONS 19563 1% 7% 11
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 17742 4% 1% 51
5 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 14934 3% 1% 39
6 JOURNAL OF FUNCTIONAL ANALYSIS 8176 4% 1% 46
7 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 8018 2% 1% 21
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 7971 3% 1% 33
9 INTERFACES AND FREE BOUNDARIES 6263 1% 3% 9
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 5684 2% 1% 19

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 OPTIMAL TRANSPORT 2128219 11% 62% 132 Search OPTIMAL+TRANSPORT Search OPTIMAL+TRANSPORT
2 OPTIMAL TRANSPORTATION 994201 6% 56% 69 Search OPTIMAL+TRANSPORTATION Search OPTIMAL+TRANSPORTATION
3 MONGE KANTOROVICH PROBLEM 667551 3% 66% 39 Search MONGE+KANTOROVICH+PROBLEM Search MONGE+KANTOROVICH+PROBLEM
4 CURVATURE DIMENSION CONDITION 317217 1% 88% 14 Search CURVATURE+DIMENSION+CONDITION Search CURVATURE+DIMENSION+CONDITION
5 MEASURE CONTRACTION PROPERTY 258955 1% 100% 10 Search MEASURE+CONTRACTION+PROPERTY Search MEASURE+CONTRACTION+PROPERTY
6 WASSERSTEIN METRIC 250285 2% 33% 29 Search WASSERSTEIN+METRIC Search WASSERSTEIN+METRIC
7 MONGE KANTOROVICH 223807 1% 79% 11 Search MONGE+KANTOROVICH Search MONGE+KANTOROVICH
8 WASSERSTEIN DISTANCE 196903 3% 19% 41 Search WASSERSTEIN+DISTANCE Search WASSERSTEIN+DISTANCE
9 WASSERSTEIN SPACE 184307 1% 65% 11 Search WASSERSTEIN+SPACE Search WASSERSTEIN+SPACE
10 OPTIMAL TRANSPORT PATH 181269 1% 100% 7 Search OPTIMAL+TRANSPORT+PATH Search OPTIMAL+TRANSPORT+PATH

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 34463 BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//PROBLEMS OF MINIMAL RESISTANCE
2 12911 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//LOGARITHMIC SOBOLEV INEQUALITIES
3 11391 MONGE AMPERE EQUATION//FULLY NONLINEAR EQUATIONS//HESSIAN EQUATIONS
4 24500 FULLY NONLINEAR PDES//VANISHING MOMENT METHOD//ALEKSANDROV SOLUTION
5 33471 CO ADAPTED COUPLING//SHIFT COUPLING//FINITARY ISOMORPHISM
6 27485 1 LAPLACIAN//RELATIVISTIC HEAT EQUATION//FLUX LIMITED DIFFUSION EQUATIONS
7 27438 MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM
8 9833 NONNEGATIVE CURVATURE//POSITIVE CURVATURE//POSITIVE SECTIONAL CURVATURE
9 20895 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
10 14774 WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION

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