Class information for:
Level 1: AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES

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
550 3       FRACTIONAL BROWNIAN MOTION//MALLIAVIN CALCULUS//STOCHASTIC DIFFERENTIAL EQUATIONS 18599
639 2             FRACTIONAL BROWNIAN MOTION//MALLIAVIN CALCULUS//STOCHASTIC DIFFERENTIAL EQUATIONS 14085
27553 1                   AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES 246

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AVERAGING PRINCIPLE authKW 2303183 16% 45% 40
2 GLUING CONDITIONS authKW 409973 2% 80% 4
3 ERGODIC AND STRONGLY MIXING PROCESSES authKW 384351 1% 100% 3
4 FAST SLOW SPDES authKW 384351 1% 100% 3
5 DIFFUSION PROCESS ON A GRAPH authKW 256234 1% 100% 2
6 DIFFUSION PROCESSES ON GRAPHS authKW 256234 1% 100% 2
7 GAP DIFFUSION authKW 256234 1% 100% 2
8 L P STRONG CONVERGENCE authKW 256234 1% 100% 2
9 METASTABLE DISTRIBUTION authKW 256234 1% 100% 2
10 PERTURBATIONS OF HAMILTONIAN SYSTEMS authKW 256234 1% 100% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 4579 33% 0% 82
2 Physics, Mathematical 1258 20% 0% 50
3 Mathematics 830 26% 0% 64
4 Mathematics, Applied 784 23% 0% 57
5 Mathematics, Interdisciplinary Applications 27 3% 0% 7
6 Multidisciplinary Sciences 15 2% 0% 4
7 Physics, Multidisciplinary 15 5% 0% 13
8 Computer Science, Cybernetics 3 0% 0% 1
9 Automation & Control Systems 1 1% 0% 2
10 Computer Science, Information Systems 0 1% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ENS CACHAN BRETAGNE IRMAR 170821 1% 67% 2
2 INFORMAT TECHNOL MATH 72061 1% 19% 3
3 INFORMAT TRANSMISS SCI 64058 0% 50% 1
4 PHYS MATH ASTRON 253 37 42704 0% 33% 1
5 HENAN ENGN BIG DATA STAT ANAL OPTIMAL CONTR 25940 2% 5% 4
6 HTW D DEN 21351 0% 17% 1
7 PACM MATH 18301 0% 14% 1
8 SETTORE MATEMAT 8539 0% 7% 1
9 INFOMAT 8005 0% 6% 1
10 STOCHAST ANWENDUNGEN 6404 0% 5% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STOCHASTICS AND DYNAMICS 19277 3% 2% 8
2 ANNALS OF PROBABILITY 8832 6% 0% 15
3 PROBABILITY THEORY AND RELATED FIELDS 7800 5% 1% 12
4 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 7215 6% 0% 14
5 ASYMPTOTIC ANALYSIS 5179 3% 1% 7
6 JOURNAL OF STATISTICAL PHYSICS 5146 7% 0% 18
7 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 2490 2% 0% 5
8 MULTISCALE MODELING & SIMULATION 2474 2% 0% 4
9 JOURNAL OF EVOLUTION EQUATIONS 2053 1% 1% 3
10 ANNALS OF APPLIED PROBABILITY 1936 2% 0% 5

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 AVERAGING PRINCIPLE 2303183 16% 45% 40 Search AVERAGING+PRINCIPLE Search AVERAGING+PRINCIPLE
2 GLUING CONDITIONS 409973 2% 80% 4 Search GLUING+CONDITIONS Search GLUING+CONDITIONS
3 ERGODIC AND STRONGLY MIXING PROCESSES 384351 1% 100% 3 Search ERGODIC+AND+STRONGLY+MIXING+PROCESSES Search ERGODIC+AND+STRONGLY+MIXING+PROCESSES
4 FAST SLOW SPDES 384351 1% 100% 3 Search FAST+SLOW+SPDES Search FAST+SLOW+SPDES
5 DIFFUSION PROCESS ON A GRAPH 256234 1% 100% 2 Search DIFFUSION+PROCESS+ON+A+GRAPH Search DIFFUSION+PROCESS+ON+A+GRAPH
6 DIFFUSION PROCESSES ON GRAPHS 256234 1% 100% 2 Search DIFFUSION+PROCESSES+ON+GRAPHS Search DIFFUSION+PROCESSES+ON+GRAPHS
7 GAP DIFFUSION 256234 1% 100% 2 Search GAP+DIFFUSION Search GAP+DIFFUSION
8 L P STRONG CONVERGENCE 256234 1% 100% 2 Search L+P+STRONG+CONVERGENCE Search L+P+STRONG+CONVERGENCE
9 METASTABLE DISTRIBUTION 256234 1% 100% 2 Search METASTABLE+DISTRIBUTION Search METASTABLE+DISTRIBUTION
10 PERTURBATIONS OF HAMILTONIAN SYSTEMS 256234 1% 100% 2 Search PERTURBATIONS+OF+HAMILTONIAN+SYSTEMS Search PERTURBATIONS+OF+HAMILTONIAN+SYSTEMS

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 33358 FELLER CONTINUITY//REGIME SWITCHING DIFFUSIONS//STRONG FELLER CONTINUITY
2 38154 CIRCUIT PROCESSES//ROTATIONAL REPRESENTATION OF STOCHASTIC MATRICES//AUTOMATIC TRANSISTOR SIZING
3 37675 ERROR SQUARED CONTROLLER//PROGRAMA POS STRICTO SENSU MODELAGEM MATEMAT//EXIT TIME PROBLEM
4 17702 LARGE DEVIATIONS//MODERATE DEVIATIONS//ISING CURIE WEISS
5 20217 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
6 5779 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION
7 27806 EQUATION FREE//EQUATION FREE METHODS//PROJECTIVE INTEGRATION
8 15001 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS//RANDOM ENVIRONMENT
9 22045 AUTORESONANCE//SLOWLY VARYING PARAMETER//NEAR IDENTITY TRANSFORMATIONS
10 12911 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//LOGARITHMIC SOBOLEV INEQUALITIES

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