Class information for:
Level 1: WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14490 766 20.7 50%


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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
2434 2             HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS 4110
14490 1                   WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION 766

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 WEAK KAM THEORY authKW 1015870 4% 88% 29
2 AUBRY MATHER THEORY authKW 585733 3% 64% 23
3 HAMILTON JACOBI EQUATION authKW 416396 12% 12% 89
4 AUBRY SET authKW 410006 2% 86% 12
5 MAXIMIZING MEASURE authKW 410006 2% 86% 12
6 ERGODIC PROBLEM authKW 354554 2% 68% 13
7 ERGODIC OPTIMIZATION authKW 306626 1% 77% 10
8 MAXIMIZING PROBABILITY authKW 283461 1% 89% 8
9 MINIMIZING MEASURES authKW 283461 1% 89% 8
10 SUBACTION authKW 255114 1% 80% 8

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, Applied 18380 61% 0% 467
2 Mathematics 17360 64% 0% 494
3 Physics, Mathematical 2391 16% 0% 123
4 Automation & Control Systems 59 2% 0% 17
5 Mechanics 52 4% 0% 30
6 Mathematics, Interdisciplinary Applications 10 1% 0% 10
7 Statistics & Probability 3 1% 0% 8
8 Area Studies 1 0% 0% 2
9 Multidisciplinary Sciences -0 0% 0% 2
10 Social Sciences, Mathematical Methods -0 0% 0% 1

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 EA 2151 161431 1% 45% 9
2 IMJ PRG PROJET ANAL ALGEBR 119586 0% 100% 3
3 ANAL NON LINEAIRE GEOMETRIE EA 2151 57976 1% 36% 4
4 ANAL NON LINEAIRE GEOMETR 39862 0% 100% 1
5 ANAL NONLINEAIRE GEOMETR 39862 0% 100% 1
6 ANALYSE LINEAIRE GEOMETRIE 39862 0% 100% 1
7 CNRSUMR 6083FEDERAT DENIS POISSON FR 2964 39862 0% 100% 1
8 DIP MATEMAT PEA 39862 0% 100% 1
9 DIP SCI BASE PLICATE INGN D 39862 0% 100% 1
10 DIPARTIMENTO MATEMAT P EA 39862 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 ERGODIC THEORY AND DYNAMICAL SYSTEMS 48367 7% 2% 54
2 NONLINEARITY 21600 5% 1% 42
3 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 15600 3% 2% 25
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 12982 4% 1% 33
5 BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 11886 2% 2% 12
6 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 9340 2% 1% 17
7 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 6362 2% 1% 16
8 JOURNAL OF MODERN DYNAMICS 6310 1% 3% 6
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 6038 1% 1% 11
10 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 5916 2% 1% 19

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 WEAK KAM THEORY 1015870 4% 88% 29 Search WEAK+KAM+THEORY Search WEAK+KAM+THEORY
2 AUBRY MATHER THEORY 585733 3% 64% 23 Search AUBRY+MATHER+THEORY Search AUBRY+MATHER+THEORY
3 HAMILTON JACOBI EQUATION 416396 12% 12% 89 Search HAMILTON+JACOBI+EQUATION Search HAMILTON+JACOBI+EQUATION
4 AUBRY SET 410006 2% 86% 12 Search AUBRY+SET Search AUBRY+SET
5 MAXIMIZING MEASURE 410006 2% 86% 12 Search MAXIMIZING+MEASURE Search MAXIMIZING+MEASURE
6 ERGODIC PROBLEM 354554 2% 68% 13 Search ERGODIC+PROBLEM Search ERGODIC+PROBLEM
7 ERGODIC OPTIMIZATION 306626 1% 77% 10 Search ERGODIC+OPTIMIZATION Search ERGODIC+OPTIMIZATION
8 MAXIMIZING PROBABILITY 283461 1% 89% 8 Search MAXIMIZING+PROBABILITY Search MAXIMIZING+PROBABILITY
9 MINIMIZING MEASURES 283461 1% 89% 8 Search MINIMIZING+MEASURES Search MINIMIZING+MEASURES
10 SUBACTION 255114 1% 80% 8 Search SUBACTION Search SUBACTION

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 RICHARD, C , JENKINSON, O , DIAZ-ORDAZ, K , ANAGNOSTOPOULOU, V , (2012) STURMIAN MAXIMIZING MEASURES FOR THE PIECEWISE-LINEAR COSINE FAMILY.BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY. VOL. 43. ISSUE 2. P. 285 -302 39 89% 0
2 LOPES, AO , MENGUE, JK , MOHR, J , SOUZA, RR , (2015) ENTROPY AND VARIATIONAL PRINCIPLE FOR ONE-DIMENSIONAL LATTICE SYSTEMS WITH A GENERAL A PRIORI PROBABILITY: POSITIVE AND ZERO TEMPERATURE.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 35. ISSUE . P. 1925 -1961 33 85% 1
3 HAJEJ, A , (2017) STOCHASTIC HOMOGENIZATION OF A FRONT PROPAGATION PROBLEM WITH UNBOUNDED VELOCITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 7. P. 3805 -3836 30 86% 0
4 GARIBALDI, E , THIEULLEN, P , (2011) MINIMIZING ORBITS IN THE DISCRETE AUBRY-MATHER MODEL.NONLINEARITY. VOL. 24. ISSUE 2. P. 563 -611 30 83% 5
5 MITAKE, H , TRAN, HV , (2014) HOMOGENIZATION OF WEAKLY COUPLED SYSTEMS OF HAMILTON-JACOBI EQUATIONS WITH FAST SWITCHING RATES.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 211. ISSUE 3. P. 733-769 24 83% 6
6 LIU, QH , LI, XX , YAN, J , (2016) LARGE TIME BEHAVIOR OF SOLUTIONS FOR A CLASS OF TIME-DEPENDENT HAMILTON-JACOBI EQUATIONS.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 5. P. 875 -890 20 100% 0
7 ISHII, H , (2013) A SHORT INTRODUCTION TO VISCOSITY SOLUTIONS AND THE LARGE TIME BEHAVIOR OF SOLUTIONS OF HAMILTON-JACOBI EQUATIONS.HAMILTON-JACOBI EQUATIONS: APPROXIMATIONS, NUMERICAL ANALYSIS AND APPLICATIONS, CETRARO, ITALY 2011. VOL. 2074. ISSUE . P. 111 -249 29 73% 2
8 WANG, KZ , YAN, J , (2012) A NEW KIND OF LAX-OLEINIK TYPE OPERATOR WITH PARAMETERS FOR TIME-PERIODIC POSITIVE DEFINITE LAGRANGIAN SYSTEMS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 309. ISSUE 3. P. 663-691 21 100% 5
9 FIGALLI, A , RIFFORD, L , (2015) CLOSING AUBRY SETS I.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 68. ISSUE 2. P. 210 -285 25 78% 1
10 BARDI, M , TERRONE, G , (2013) ON THE HOMOGENIZATION OF SOME NON-COERCIVE HAMILTON JACOBI ISAACS EQUATIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 12. ISSUE 1. P. 207-236 22 92% 3

Classes with closest relation at Level 1


Rank Class id link
1 26586 MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM
2 5572 HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION
3 13801 INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS
4 9161 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
5 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS
6 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
7 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY
8 13940 ANNNI MODEL//CHIRAL XY MODEL//CI TRANSITION
9 8275 CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS
10 20476 OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS

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