Class information for:
Level 2: OPTIMAL TRANSPORT//MONGE AMPERE EQUATION//OPTIMAL TRANSPORTATION

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
3010 2069 19.6 40%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
89 75682 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS//JOURNAL OF DIFFERENTIAL EQUATIONS

Classes in level below (level 1)


ID, lev. below Publications Label for level below
10235 1016 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
14437 704 HESSIAN EQUATION//BERNSTEIN PROPERTY//MONGE AMPERE EQUATION
24707 254 PRODUCT LIFTING//WEAK CONVERGENCE OF VECTOR MEASURES//STOCHAST ANWENDUNGEN
33233 95 P INTEGRAL//RANDOM TRANSLATION//DISTANCE IN TOTAL VARIATION

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 OPTIMAL TRANSPORT Author keyword 63 55% 4% 79
2 MONGE AMPERE EQUATION Author keyword 51 48% 4% 77
3 OPTIMAL TRANSPORTATION Author keyword 48 56% 3% 59
4 MONGE KANTOROVICH PROBLEM Author keyword 42 70% 2% 35
5 CURVATURE DIMENSION CONDITION Author keyword 24 91% 0% 10
6 HESSIAN EQUATION Author keyword 21 78% 1% 14
7 MONGE AMPERE EQUATIONS Author keyword 21 51% 1% 29
8 MONGE KANTOROVICH Author keyword 17 79% 1% 11
9 OPTIMAL TRANSPORT PATH Author keyword 15 88% 0% 7
10 BERNSTEIN PROPERTY Author keyword 14 100% 0% 7

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 OPTIMAL TRANSPORT 63 55% 4% 79 Search OPTIMAL+TRANSPORT Search OPTIMAL+TRANSPORT
2 MONGE AMPERE EQUATION 51 48% 4% 77 Search MONGE+AMPERE+EQUATION Search MONGE+AMPERE+EQUATION
3 OPTIMAL TRANSPORTATION 48 56% 3% 59 Search OPTIMAL+TRANSPORTATION Search OPTIMAL+TRANSPORTATION
4 MONGE KANTOROVICH PROBLEM 42 70% 2% 35 Search MONGE+KANTOROVICH+PROBLEM Search MONGE+KANTOROVICH+PROBLEM
5 CURVATURE DIMENSION CONDITION 24 91% 0% 10 Search CURVATURE+DIMENSION+CONDITION Search CURVATURE+DIMENSION+CONDITION
6 HESSIAN EQUATION 21 78% 1% 14 Search HESSIAN+EQUATION Search HESSIAN+EQUATION
7 MONGE AMPERE EQUATIONS 21 51% 1% 29 Search MONGE+AMPERE+EQUATIONS Search MONGE+AMPERE+EQUATIONS
8 MONGE KANTOROVICH 17 79% 1% 11 Search MONGE+KANTOROVICH Search MONGE+KANTOROVICH
9 OPTIMAL TRANSPORT PATH 15 88% 0% 7 Search OPTIMAL+TRANSPORT+PATH Search OPTIMAL+TRANSPORT+PATH
10 BERNSTEIN PROPERTY 14 100% 0% 7 Search BERNSTEIN+PROPERTY Search BERNSTEIN+PROPERTY

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 POLAR FACTORIZATION 136 81% 4% 83
2 CONVEX POTENTIALS 51 83% 1% 29
3 OPTIMAL MAPS 45 94% 1% 16
4 VANISHING MOMENT METHOD 44 100% 1% 16
5 MONGE AMPERE EQUATION 44 31% 6% 118
6 OPTIMAL TRANSPORTATION 40 69% 2% 34
7 METRIC MEASURE SPACES 34 31% 4% 91
8 2ND ORDER ELLIPTIC EQUATIONS 33 52% 2% 45
9 OPTIMAL TRANSPORT 32 88% 1% 15
10 DIRICHLET PROBLEM 31 16% 9% 179

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations 2013 6 98 46%
THE MONGE-KANTOROVICH MASS TRANSFERENCE PROBLEM AND ITS STOCHASTIC APPLICATIONS 1985 17 16 56%
THE REGULARITY OF BOREL MEASURES 1982 5 17 82%
CHOQUET ORDER AND SIMPLICES WITH APPLICATIONS IN PROBABILISTIC MODELS 1985 0 6 33%
RANDOM-FIELDS - APPLICATIONS IN CELL BIOLOGY 1986 1 39 13%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ.
in class
1 STOCHAST ANWENDUNGEN 4 41% 0.3% 7
2 ABT FINANZ VERSICHERUNGSMATH 2 67% 0.1% 2
3 PROJECT PN II ID PCE 2012 4 0021 2 67% 0.1% 2
4 RECH XLIM DMI 2 67% 0.1% 2
5 SCI CASA 1 2 67% 0.1% 2
6 MOK LAN 1 100% 0.1% 2
7 WROCLAW BRANCH 1 21% 0.2% 5
8 CANADA CHAIR MATH ECON 1 27% 0.1% 3
9 MATH TOULON VAR 1 33% 0.1% 2
10 ANAL LINEAIRE PL 1 50% 0.0% 1

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000020925 CUTTING ANGLE METHOD//LIPSCHITZ PROGRAMMING//NEWTONS PROBLEM
2 0.0000018403 CAHN HILLIARD EQUATION//MEAN CURVATURE FLOW//LOJASIEWICZ SIMON INEQUALITY
3 0.0000017045 VISCOSITY SOLUTIONS//BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS//BACKWARD STOCHASTIC DIFFERENTIAL EQUATION
4 0.0000015150 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS//GEOMETRIA TOPOL
5 0.0000015088 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//CARNOT GROUPS//DOUBLING MEASURE
6 0.0000012737 CONVEX BODY//STAR BODY//CONVEX BODIES
7 0.0000012164 TWO SCALE CONVERGENCE//FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES
8 0.0000011231 CRITICAL SOBOLEV EXPONENT//P LAPLACIAN//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
9 0.0000010748 MALLIAVIN CALCULUS//FRACTIONAL BROWNIAN MOTION//STOCHASTIC PROCESSES AND THEIR APPLICATIONS
10 0.0000009674 BACKLIGHT DIMMING//BACKLIGHT SCALING//AUTOMATIC LENS DESIGN