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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25862 270 18.4 33%


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
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
499 2             FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME 15343
25862 1                   AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES 270

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 AVERAGING PRINCIPLE authKW 2263177 15% 49% 41
2 GLUING CONDITIONS authKW 361898 1% 80% 4
3 ERGODIC AND STRONGLY MIXING PROCESSES authKW 339281 1% 100% 3
4 FAST SLOW SPDES authKW 339281 1% 100% 3
5 ALPHA TRANSIENCE authKW 226187 1% 100% 2
6 BUR 4D1 address 226187 1% 100% 2
7 DIFFUSION PROCESSES ON GRAPHS authKW 226187 1% 100% 2
8 GAP DIFFUSION authKW 226187 1% 100% 2
9 L P STRONG CONVERGENCE authKW 226187 1% 100% 2
10 METASTABLE DISTRIBUTION authKW 226187 1% 100% 2

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 Statistics & Probability 5616 35% 0% 95
2 Mathematics 1375 31% 0% 85
3 Mathematics, Applied 1302 28% 0% 76
4 Physics, Mathematical 911 17% 0% 45
5 Mathematics, Interdisciplinary Applications 16 2% 0% 6
6 Computer Science, Cybernetics 2 0% 0% 1
7 Multidisciplinary Sciences 2 1% 0% 2
8 Physics, Fluids & Plasmas 1 1% 0% 3
9 Automation & Control Systems 1 1% 0% 2
10 Physics, Multidisciplinary 1 3% 0% 7

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 BUR 4D1 226187 1% 100% 2
2 ENS CACHAN BRETAGNE IRMAR 150790 1% 67% 2
3 ANAL MATH PLIUEES 113094 0% 100% 1
4 CNRSUMR 8553 113094 0% 100% 1
5 INSAIMTCNRS UMR 5219 113094 0% 100% 1
6 INFORMAT TECHNOL MATH 63610 1% 19% 3
7 INFORMAT TRANSMISS SCI 56546 0% 50% 1
8 UNIV TOULOUSE 2 56546 0% 50% 1
9 CASE 188 37697 0% 33% 1
10 PHYS MATH ASTRON 253 37 37697 0% 33% 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 STOCHASTICS AND DYNAMICS 18784 3% 2% 8
2 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 14701 8% 1% 21
3 ANNALS OF PROBABILITY 14088 7% 1% 20
4 ASYMPTOTIC ANALYSIS 7739 3% 1% 9
5 PROBABILITY THEORY AND RELATED FIELDS 6990 4% 1% 12
6 JOURNAL OF STATISTICAL PHYSICS 5177 7% 0% 19
7 MATHEMATISCHE NACHRICHTEN 4756 5% 0% 13
8 ANNALS OF APPLIED PROBABILITY 3723 3% 0% 7
9 MULTISCALE MODELING & SIMULATION 3564 2% 1% 5
10 JOURNAL OF EVOLUTION EQUATIONS 1925 1% 1% 3

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 AVERAGING PRINCIPLE 2263177 15% 49% 41 Search AVERAGING+PRINCIPLE Search AVERAGING+PRINCIPLE
2 GLUING CONDITIONS 361898 1% 80% 4 Search GLUING+CONDITIONS Search GLUING+CONDITIONS
3 ERGODIC AND STRONGLY MIXING PROCESSES 339281 1% 100% 3 Search ERGODIC+AND+STRONGLY+MIXING+PROCESSES Search ERGODIC+AND+STRONGLY+MIXING+PROCESSES
4 FAST SLOW SPDES 339281 1% 100% 3 Search FAST+SLOW+SPDES Search FAST+SLOW+SPDES
5 ALPHA TRANSIENCE 226187 1% 100% 2 Search ALPHA+TRANSIENCE Search ALPHA+TRANSIENCE
6 DIFFUSION PROCESSES ON GRAPHS 226187 1% 100% 2 Search DIFFUSION+PROCESSES+ON+GRAPHS Search DIFFUSION+PROCESSES+ON+GRAPHS
7 GAP DIFFUSION 226187 1% 100% 2 Search GAP+DIFFUSION Search GAP+DIFFUSION
8 L P STRONG CONVERGENCE 226187 1% 100% 2 Search L+P+STRONG+CONVERGENCE Search L+P+STRONG+CONVERGENCE
9 METASTABLE DISTRIBUTION 226187 1% 100% 2 Search METASTABLE+DISTRIBUTION Search METASTABLE+DISTRIBUTION
10 PERTURBATIONS OF HAMILTONIAN SYSTEMS 226187 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 FU, HB , LIU, JC , (2011) STRONG CONVERGENCE IN STOCHASTIC AVERAGING PRINCIPLE FOR TWO TIME-SCALES STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 384. ISSUE 1. P. 70-86 14 82% 3
2 FU, HB , WAN, L , LIU, JC , (2015) STRONG CONVERGENCE IN AVERAGING PRINCIPLE FOR STOCHASTIC HYPERBOLIC-PARABOLIC EQUATIONS WITH TWO TIME-SCALES.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 125. ISSUE 8. P. 3255 -3279 15 65% 1
3 XU, J , (2017) L-P-STRONG CONVERGENCE OF THE AVERAGING PRINCIPLE FOR SLOW-FAST SPDES WITH JUMPS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 445. ISSUE 1. P. 342 -373 17 47% 0
4 FU, HB , WAN, L , WANG, YZ , LIU, JC , (2014) STRONG CONVERGENCE RATE IN AVERAGING PRINCIPLE FOR STOCHASTIC FITZHUGH-NAGUMO SYSTEM WITH TWO TIME-SCALES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 416. ISSUE 2. P. 609 -628 14 58% 3
5 XU, J , MIAO, Y , (2015) L-P (P > 2)-STRONG CONVERGENCE OF AN AVERAGING PRINCIPLE FOR TWO-TIME-SCALES JUMP-DIFFUSION STOCHASTIC DIFFERENTIAL EQUATIONS.NONLINEAR ANALYSIS-HYBRID SYSTEMS. VOL. 18. ISSUE . P. 33 -47 8 100% 0
6 XU, J , MIAO, Y , LIU, JC , (2016) STRONG AVERAGING PRINCIPLE FOR TWO-TIME-SCALE NON-AUTONOMOUS STOCHASTIC FITZHUGH-NAGUMO SYSTEM WITH JUMPS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 57. ISSUE 9. P. - 11 69% 0
7 FU, HB , DUAN, JQ , (2011) AN AVERAGING PRINCIPLE FOR TWO-SCALE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS.STOCHASTICS AND DYNAMICS. VOL. 11. ISSUE 2-3. P. 353-367 9 90% 2
8 SPILIOPOULOS, K , (2014) FLUCTUATION ANALYSIS AND SHORT TIME ASYMPTOTICS FOR MULTIPLE SCALES DIFFUSION PROCESSES.STOCHASTICS AND DYNAMICS. VOL. 14. ISSUE 3. P. - 8 89% 0
9 PAGES, G , PANLOUP, F , (2014) A MIXED-STEP ALGORITHM FOR THE APPROXIMATION OF THE STATIONARY REGIME OF A DIFFUSION.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 124. ISSUE 1. P. 522-565 8 80% 0
10 FREIDLIN, M , HU, WQ , (2011) ON PERTURBATIONS OF GENERALIZED LANDAU-LIFSHITZ DYNAMICS.JOURNAL OF STATISTICAL PHYSICS. VOL. 144. ISSUE 5. P. 978 -1008 7 88% 2

Classes with closest relation at Level 1


Rank Class id link
1 35743 CIRCUIT PROCESSES//ROTATIONAL REPRESENTATION OF STOCHASTIC MATRICES//AUTOMATIC TRANSISTOR SIZING
2 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
3 6796 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION
4 23278 AUTORESONANCE//SLOWLY VARYING PARAMETER//ASYMPTOTIC REPRESENTATION OF SOLUTIONS
5 18355 ATMOSPHERE OCEAN SCI//STOCHASTIC PARAMETRIZATION//STOCHASTIC PARAMETERIZATION
6 20111 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
7 25559 EQUATION FREE//EQUATION FREE METHODS//MULTISCALE INTEGRATORS
8 11654 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS
9 18298 SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD
10 10405 STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD

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