Class information for:
Level 1: STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
20111 476 18.3 39%



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
20111 1                   STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS 476

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 STOCHASTIC FLOWS authKW 721638 6% 38% 30
2 ISOTROPIC BROWNIAN FLOW authKW 456168 2% 89% 8
3 REGULAR LAGRANGIAN FLOWS authKW 320744 1% 100% 5
4 ZVONKINS TRANSFORMATION authKW 320744 1% 100% 5
5 STOCHASTIC TRANSPORT EQUATION authKW 288667 1% 75% 6
6 DIPERNA LIONS FLOW authKW 256596 1% 100% 4
7 FLOW OF HOMEOMORPHISMS authKW 256596 1% 100% 4
8 STOCHASTIC FLOW authKW 240740 4% 22% 17
9 KRYLOVS ESTIMATE authKW 229100 1% 71% 5
10 DIPERNA LIONS THEORY authKW 209936 1% 55% 6

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 6773 29% 0% 139
2 Mathematics 6052 49% 0% 232
3 Mathematics, Applied 3377 34% 0% 161
4 Physics, Mathematical 195 6% 0% 30
5 Mechanics 17 3% 0% 15
6 Mathematics, Interdisciplinary Applications 13 2% 0% 8
7 Physics, Fluids & Plasmas 6 1% 0% 7
8 Computer Science, Interdisciplinary Applications 2 1% 0% 6
9 Automation & Control Systems 1 1% 0% 3
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 INSSET 112631 3% 15% 12
2 ANAL PROBABITIL 64149 0% 100% 1
3 ANAL PROBABITILITES 64149 0% 100% 1
4 DEP MATEMAT IST 64149 0% 100% 1
5 ECOLE INGN INNOVAT 64149 0% 100% 1
6 EP CASTOR 64149 0% 100% 1
7 GRP PROJECTS PN II ID PCE 2011 3 0075 64149 0% 100% 1
8 GRP PROJECTS PN II ID PCE 2012 4 0021 64149 0% 100% 1
9 INSSETUMR 6140 64149 0% 100% 1
10 LAMFA 33 64149 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 STOCHASTICS AND DYNAMICS 28134 3% 3% 13
2 BULLETIN DES SCIENCES MATHEMATIQUES 23281 4% 2% 21
3 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 11802 5% 1% 25
4 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 9260 1% 3% 5
5 ANNALS OF PROBABILITY 6455 4% 1% 18
6 COMPTES RENDUS MATHEMATIQUE 5018 4% 0% 18
7 PROBABILITY THEORY AND RELATED FIELDS 4643 3% 1% 13
8 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS 4455 1% 2% 4
9 JOURNAL OF FUNCTIONAL ANALYSIS 4333 4% 0% 21
10 ELECTRONIC COMMUNICATIONS IN PROBABILITY 4074 1% 1% 7

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 STOCHASTIC FLOWS 721638 6% 38% 30 Search STOCHASTIC+FLOWS Search STOCHASTIC+FLOWS
2 ISOTROPIC BROWNIAN FLOW 456168 2% 89% 8 Search ISOTROPIC+BROWNIAN+FLOW Search ISOTROPIC+BROWNIAN+FLOW
3 REGULAR LAGRANGIAN FLOWS 320744 1% 100% 5 Search REGULAR+LAGRANGIAN+FLOWS Search REGULAR+LAGRANGIAN+FLOWS
4 ZVONKINS TRANSFORMATION 320744 1% 100% 5 Search ZVONKINS+TRANSFORMATION Search ZVONKINS+TRANSFORMATION
5 STOCHASTIC TRANSPORT EQUATION 288667 1% 75% 6 Search STOCHASTIC+TRANSPORT+EQUATION Search STOCHASTIC+TRANSPORT+EQUATION
6 DIPERNA LIONS FLOW 256596 1% 100% 4 Search DIPERNA+LIONS+FLOW Search DIPERNA+LIONS+FLOW
7 FLOW OF HOMEOMORPHISMS 256596 1% 100% 4 Search FLOW+OF+HOMEOMORPHISMS Search FLOW+OF+HOMEOMORPHISMS
8 STOCHASTIC FLOW 240740 4% 22% 17 Search STOCHASTIC+FLOW Search STOCHASTIC+FLOW
9 KRYLOVS ESTIMATE 229100 1% 71% 5 Search KRYLOVS+ESTIMATE Search KRYLOVS+ESTIMATE
10 DIPERNA LIONS THEORY 209936 1% 55% 6 Search DIPERNA+LIONS+THEORY Search DIPERNA+LIONS+THEORY

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 LUO, DJ , (2015) GENERALIZED STOCHASTIC FLOW ASSOCIATED TO THE ITO SDE WITH PARTIALLY SOBOLEV COEFFICIENTS AND ITS APPLICATION.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 14. ISSUE 2. P. 535 -573 20 91% 0
2 XIE, LJ , ZHANG, XC , (2016) SOBOLEV DIFFERENTIABLE FLOWS OF SDES WITH LOCAL SOBOLEV AND SUPER-LINEAR GROWTH COEFFICIENTS.ANNALS OF PROBABILITY. VOL. 44. ISSUE 6. P. 3661 -3687 20 87% 0
3 JABIN, PE , (2016) CRITICAL NON-SOBOLEV REGULARITY FOR CONTINUITY EQUATIONS WITH ROUGH VELOCITY FIELDS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 5. P. 4739 -4757 20 83% 0
4 LUO, DJ , (2015) QUASI-INVARIANCE OF THE STOCHASTIC FLOW ASSOCIATED TO IT'S SDE WITH SINGULAR TIME-DEPENDENT DRIFT.JOURNAL OF THEORETICAL PROBABILITY. VOL. 28. ISSUE 4. P. 1743 -1762 17 100% 0
5 ZHANG, XC , (2010) STOCHASTIC FLOWS OF SDES WITH IRREGULAR COEFFICIENTS AND STOCHASTIC TRANSPORT EQUATIONS.BULLETIN DES SCIENCES MATHEMATIQUES. VOL. 134. ISSUE 4. P. 340-378 18 100% 13
6 LUO, DJ , (2015) STOCHASTIC LAGRANGIAN FLOWS ON THE GROUP OF VOLUME-PRESERVING HOMEOMORPHISMS OF THE SPHERES.STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES. VOL. 87. ISSUE 4. P. 680 -701 18 90% 0
7 AMBROSIO, L , CRIPPA, G , (2014) CONTINUITY EQUATIONS AND ODE FLOWS WITH NON-SMOOTH VELOCITY.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 144. ISSUE 6. P. 1191 -1244 32 48% 6
8 JABIN, PE , (2010) DIFFERENTIAL EQUATIONS WITH SINGULAR FIELDS.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 94. ISSUE 6. P. 597 -621 18 90% 7
9 FANG, SZ , LUO, DJ , THALMAIER, A , (2010) STOCHASTIC DIFFERENTIAL EQUATIONS WITH COEFFICIENTS IN SOBOLEV SPACES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 259. ISSUE 5. P. 1129-1168 20 80% 6
10 CLOP, A , JIANG, R , MATEU, J , OROBITG, J , (2016) LINEAR TRANSPORT EQUATIONS FOR VECTOR FIELDS WITH SUBEXPONENTIALLY INTEGRABLE DIVERGENCE.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 55. ISSUE 1. P. - 13 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
2 6796 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION
3 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
4 28764 MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES
5 21686 SKEW BROWNIAN MOTION//SCENERY RECONSTRUCTION//STOCHASTIC FLOWS OF KERNELS
6 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
7 14336 VLASOV POISSON SYSTEM//VLASOV POISSON EQUATION//VLASOV MAXWELL SYSTEM
8 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
9 16726 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
10 24033 KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL

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