Class information for:
Level 1: WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION

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
14774 1                   WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION 779

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 WEAK KAM THEORY authKW 1110816 4% 89% 31
2 ERGODIC PROBLEM authKW 493178 2% 76% 16
3 HAMILTON JACOBI EQUATION authKW 467937 12% 12% 95
4 AUBRY SET authKW 416122 2% 86% 12
5 AUBRY MATHER THEORY authKW 414920 3% 51% 20
6 MAXIMIZING MEASURE authKW 388379 2% 80% 12
7 ERGODIC OPTIMIZATION authKW 311200 1% 77% 10
8 SUBACTION authKW 297905 1% 82% 9
9 MAXIMIZING PROBABILITY authKW 287690 1% 89% 8
10 MATHER MEASURES authKW 242740 1% 100% 6

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 19603 68% 0% 530
2 Mathematics, Applied 17100 58% 0% 455
3 Physics, Mathematical 1331 12% 0% 94
4 Automation & Control Systems 116 3% 0% 23
5 Mechanics 19 3% 0% 22
6 Statistics & Probability 9 1% 0% 11
7 Multidisciplinary Sciences 1 1% 0% 4
8 Mathematics, Interdisciplinary Applications 1 1% 0% 6
9 Area Studies 1 0% 0% 2
10 Social Sciences, Mathematical Methods -0 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EA 2151 148943 1% 41% 9
2 IMJ PRG PROJET ANAL ALGEBR 121370 0% 100% 3
3 MATH PHYS THEOR UMR CNRS 7350 64726 1% 40% 4
4 ANAL NON LINEAIRE GEOMETRIE EA 2151 58841 1% 36% 4
5 FEDERAT DENIS POISSON FR CNRS 2964 45966 1% 23% 5
6 DIP MATEMAT 44450 2% 9% 12
7 EDUC INTEGRATED ARTS SCI 41708 2% 7% 14
8 ANAL GEOM PLICAT 40457 0% 100% 1
9 ANAL NON LINEAIRE GEOMETR 40457 0% 100% 1
10 ANAL NONLINEAIRE GEOMETR 40457 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 49300 7% 2% 55
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 19805 4% 2% 29
3 NONLINEARITY 17395 5% 1% 38
4 BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 15706 2% 3% 14
5 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 13261 4% 1% 34
6 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 9158 2% 1% 17
7 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 8153 2% 2% 13
8 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 7277 2% 1% 16
9 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 6307 2% 1% 16
10 JOURNAL OF MODERN DYNAMICS 5933 1% 2% 6

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 WEAK KAM THEORY 1110816 4% 89% 31 Search WEAK+KAM+THEORY Search WEAK+KAM+THEORY
2 ERGODIC PROBLEM 493178 2% 76% 16 Search ERGODIC+PROBLEM Search ERGODIC+PROBLEM
3 HAMILTON JACOBI EQUATION 467937 12% 12% 95 Search HAMILTON+JACOBI+EQUATION Search HAMILTON+JACOBI+EQUATION
4 AUBRY SET 416122 2% 86% 12 Search AUBRY+SET Search AUBRY+SET
5 AUBRY MATHER THEORY 414920 3% 51% 20 Search AUBRY+MATHER+THEORY Search AUBRY+MATHER+THEORY
6 MAXIMIZING MEASURE 388379 2% 80% 12 Search MAXIMIZING+MEASURE Search MAXIMIZING+MEASURE
7 ERGODIC OPTIMIZATION 311200 1% 77% 10 Search ERGODIC+OPTIMIZATION Search ERGODIC+OPTIMIZATION
8 SUBACTION 297905 1% 82% 9 Search SUBACTION Search SUBACTION
9 MAXIMIZING PROBABILITY 287690 1% 89% 8 Search MAXIMIZING+PROBABILITY Search MAXIMIZING+PROBABILITY
10 MATHER MEASURES 242740 1% 100% 6 Search MATHER+MEASURES Search MATHER+MEASURES

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 27438 MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM
2 6236 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//VISCOSITY SOLUTION
3 8523 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
4 13287 RENORMALIZED FUNCTIONAL//DE GIORGI CONJECTURE//ALLEN CAHN EQUATION
5 22881 OCCUPATIONAL MEASURES//CONTROL SETS//APPROXIMATION OF SLOW MOTIONS
6 20968 ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM
7 22453 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
8 23297 OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS
9 31832 C 1 SMOOTH FUNCTION//MORSE SARD THEOREM//GRADIENT RANGE
10 5810 JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY

Go to start page