Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 12736 | 884 | 21.2 | 47% |
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 |
| 12736 | 1 | LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES | 884 |
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 | LOGARITHMIC SOBOLEV INEQUALITY | authKW | 1053433 | 7% | 50% | 61 |
| 2 | SUPER POINCARE INEQUALITY | authKW | 662278 | 2% | 91% | 21 |
| 3 | TRANSPORTATION INEQUALITIES | authKW | 475341 | 2% | 81% | 17 |
| 4 | LOGARITHMIC SOBOLEV INEQUALITIES | authKW | 423093 | 3% | 44% | 28 |
| 5 | WEAK POINCARE INEQUALITY | authKW | 398230 | 2% | 82% | 14 |
| 6 | TRANSPORTATION COST INEQUALITY | authKW | 384444 | 2% | 70% | 16 |
| 7 | LOG SOBOLEV INEQUALITY | authKW | 355673 | 2% | 47% | 22 |
| 8 | SPECTRAL GAP | authKW | 351063 | 7% | 17% | 61 |
| 9 | LOG HARNACK INEQUALITY | authKW | 345408 | 1% | 100% | 10 |
| 10 | MODIFIED LOGARITHMIC SOBOLEV INEQUALITY | authKW | 310867 | 1% | 100% | 9 |
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 | 23367 | 40% | 0% | 350 |
| 2 | Mathematics | 11684 | 50% | 0% | 439 |
| 3 | Mathematics, Applied | 2037 | 20% | 0% | 176 |
| 4 | Physics, Mathematical | 429 | 7% | 0% | 60 |
| 5 | Mathematics, Interdisciplinary Applications | 1 | 1% | 0% | 6 |
| 6 | Engineering, General | 0 | 1% | 0% | 5 |
| 7 | Computer Science, Theory & Methods | -0 | 1% | 0% | 6 |
| 8 | Multidisciplinary Sciences | -0 | 0% | 0% | 2 |
| 9 | Mechanics | -0 | 1% | 0% | 9 |
| 10 | Engineering, Industrial | -1 | 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 | MATH COM SYS | 203843 | 2% | 27% | 22 |
| 2 | ESA 8050 | 92106 | 0% | 67% | 4 |
| 3 | EQUIPE ANAL HARMON PROBABILITES | 69082 | 0% | 100% | 2 |
| 4 | MATH ELIE CARTANUMR 7502 | 69082 | 0% | 100% | 2 |
| 5 | UMR 6620 | 54606 | 3% | 6% | 25 |
| 6 | MATH COM SYST | 46053 | 0% | 67% | 2 |
| 7 | MATH SCI MATH COM SYS | 42506 | 0% | 31% | 4 |
| 8 | MATH COMPLEX SYST | 40122 | 3% | 4% | 29 |
| 9 | EQUIPE MODALX | 39243 | 1% | 23% | 5 |
| 10 | ANAL MATH PLIQ | 34541 | 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 | JOURNAL OF FUNCTIONAL ANALYSIS | 33178 | 9% | 1% | 79 |
| 2 | FRONTIERS OF MATHEMATICS IN CHINA | 31041 | 3% | 4% | 24 |
| 3 | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 27037 | 4% | 3% | 31 |
| 4 | POTENTIAL ANALYSIS | 26999 | 3% | 3% | 28 |
| 5 | ANNALS OF PROBABILITY | 26870 | 6% | 2% | 50 |
| 6 | PROBABILITY THEORY AND RELATED FIELDS | 23722 | 5% | 2% | 40 |
| 7 | ELECTRONIC JOURNAL OF PROBABILITY | 20972 | 3% | 2% | 25 |
| 8 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 18794 | 5% | 1% | 43 |
| 9 | ELECTRONIC COMMUNICATIONS IN PROBABILITY | 16178 | 2% | 2% | 19 |
| 10 | ESAIM-PROBABILITY AND STATISTICS | 9472 | 1% | 3% | 8 |
Author Key Words |
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 | MILMAN, E , (2012) PROPERTIES OF ISOPERIMETRIC, FUNCTIONAL AND TRANSPORT-ENTROPY INEQUALITIES VIA CONCENTRATION.PROBABILITY THEORY AND RELATED FIELDS. VOL. 152. ISSUE 3-4. P. 475-507 | 31 | 84% | 7 |
| 2 | GAO, F , GUILLIN, A , WU, L , (2014) BERNSTEIN-TYPE CONCENTRATION INEQUALITIES FOR SYMMETRIC MARKOV PROCESSES.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 58. ISSUE 3. P. 358 -382 | 30 | 83% | 1 |
| 3 | WANG, FY , (2014) DERIVATIVE FORMULA AND HARNACK INEQUALITY FOR SDES DRIVEN BY LEVY PROCESSES.STOCHASTIC ANALYSIS AND APPLICATIONS. VOL. 32. ISSUE 1. P. 30-49 | 24 | 89% | 1 |
| 4 | BARTHE, F , CATTIAUX, P , ROBERTO, C , (2006) INTERPOLATED INEQUALITIES BETWEEN EXPONENTIAL AND GAUSSIAN, ORLICZ HYPERCONTRACTIVITY AND ISOPERIMETRY.REVISTA MATEMATICA IBEROAMERICANA. VOL. 22. ISSUE 3. P. 993-1067 | 27 | 84% | 41 |
| 5 | PAPDGEORGIOU, I , (2014) THE LOGARITHMIC SOBOLEV INEQUALITY FOR GIBBS MEASURES ON INFINITE PRODUCT OF HEISENBERG GROUPS.MARKOV PROCESSES AND RELATED FIELDS. VOL. 20. ISSUE 4. P. 705 -749 | 21 | 95% | 0 |
| 6 | GUILLIN, A , WANG, FY , (2012) DEGENERATE FOKKER-PLANCK EQUATIONS: BISMUT FORMULA, GRADIENT ESTIMATE AND HARNACK INEQUALITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 253. ISSUE 1. P. 20-40 | 20 | 95% | 11 |
| 7 | GOZLAN, N , (2010) POINCARE INEQUALITIES AND DIMENSION FREE CONCENTRATION OF MEASURE.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 46. ISSUE 3. P. 708-739 | 24 | 86% | 3 |
| 8 | BARTHE, F , CATTIAUX, P , ROBERTO, C , (2007) ISOPERIMETRY BETWEEN EXPONENTIAL AND GAUSSIA.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 12. ISSUE . P. 1212-1237 | 22 | 96% | 19 |
| 9 | WANG, FY , WANG, J , (2014) HARNACK INEQUALITIES FOR STOCHASTIC EQUATIONS DRIVEN BY LEVY NOISE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 410. ISSUE 1. P. 513 -523 | 17 | 94% | 7 |
| 10 | CATTIAUX, P , GUILLIN, A , WU, LM , (2010) A NOTE ON TALAGRAND'S TRANSPORTATION INEQUALITY AND LOGARITHMIC SOBOLEV INEQUALITY.PROBABILITY THEORY AND RELATED FIELDS. VOL. 148. ISSUE 1-2. P. 285 -304 | 18 | 100% | 13 |
Classes with closest relation at Level 1 |