Cumulants, Spreadability and the Campbell-Baker-Hausdorff Series 7V3HG30ZGW
| URI | m2://res/7V3HG30ZGW |
|---|---|
| Kind | preprint |
| Creators | Takahiro Hasebe, Franz Lehner |
| Date | 2017-11-01 |
| MSC | 46-XX, 47-XX, 05-XX, 60-XX |
| Subjects | arxiv math.OA, arxiv math.CO, arxiv math.PR |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2017-11-01 |
| Ids | arXiv 1711.00219, DOI 10.4171/dm/923 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 1R9BB5KYRR | statement | proposition 3.24 | arxiv |
| 1SWEPA0CKM | statement | theorem 6.13 | arxiv |
| 1TFYN1ZVF4 | definition | definition 2.8 | arxiv |
| 1WC82NA3M9 | definition | definition A.5 | arxiv |
| Cumulants in terms of moments | example | example 3.19 | arxiv |
| 2KJ6WYTGSF | statement | proposition 2.18 | arxiv |
| 2NAG2HENT8 | statement | corollary A.27 | arxiv |
| 320Q3K0HDX | statement | proposition 3.17 | arxiv |
| 32DY1YR4SR | statement | theorem 5.6 | arxiv |
| 34VEB731HA | definition | definition 3.13 | arxiv |
| 3V0XJQMVKV | definition | definition 2.4 | arxiv |
| 45NRD7T0A6 | statement | lemma 3.7 | arxiv |
| Boolean independence | example | example 4.6 | arxiv |
| 587HPZE6KT | definition | definition 6.11 | arxiv |
| 5M6SWYET3A | statement | proposition 5.24 | arxiv |
| 5QMP8TJRQA | definition | definition 5.9 | arxiv |
| 5RZTCRQNSY | statement | lemma 3.22 | arxiv |
| 5YKYH5N3GW | definition | definition 5.10 | arxiv |
| 6Q3ZHB3MK9 | example | example 5.17 | arxiv |
| 6Q8NG7QSPV | definition | definition 2.2 | arxiv |
| 6XNF0FFGNN | definition | definition 4.1 | arxiv |
| Weisner's Lemma | statement | lemma 5.2 | arxiv |
| 7TB6AZTH03 | statement | proposition 6.12 | arxiv |
| 8CQ6JMD4KH | statement | proposition A.7 | arxiv |
| CBH formula | statement | theorem 6.6 | arxiv |
| 9JH0KGG8A5 | statement | theorem 4.3 | arxiv |
| A7AQ3SK30H | statement | theorem 3.9 | arxiv |
| A8MY8XTWF1 | definition | definition 7.1 | arxiv |
| Tensor independence | example | example 4.5 | arxiv |
| B32R4SB0TZ | statement | corollary 3.18 | arxiv |
| BQPQGQZKXA | example | example 3.27 | arxiv |
| BZX8E3R01P | statement | proposition 6.8 | arxiv |
| C35KCZFFY7 | statement | lemma A.18 | arxiv |
| CQMQ2MSS9V | definition | definition A.10 | arxiv |
| CXHTQXWRJC | definition | definition 6.10 | arxiv |
| Classes of Ordered Set Partitions | definition | definition A.14 | arxiv |
| DJ0RHWQZFH | definition | definition 5.3 | arxiv |
| DVQ77WH9Z0 | definition | definition 3.1 | arxiv |
| E1NH053RG3 | statement | proposition A.23 | arxiv |
| E5CEAH6G2M | definition | definition 3.5 | arxiv |
| E5ZFNAS4G4 | statement | proposition 3.16 | arxiv |
| Classes of Set Partitions | definition | definition A.3 | arxiv |
| $\cS$-independence | definition | definition 2.14 | arxiv |
| EMXMG104NG | statement | proposition A.21 | arxiv |
| Goldberg coefficients and partial vanishing of cumulants | example | example 5.26 | arxiv |
| EXZMR14791 | statement | proposition A.4 | arxiv |
| Refinement Order | definition | definition A.2 | arxiv |
| FWKWXD23HH | statement | theorem 3.6 | arxiv |
| Ordered set partitions | definition | definition A.8 | arxiv |
| Moments in terms of cumulants | example | example 3.20 | arxiv |
| G8R6FR0NHJ | statement | proposition 5.5 | arxiv |
| GQE5X66RY5 | definition | definition 3.3 | arxiv |
| GXQC82R7MM | statement | lemma 6.15 | arxiv |
| H16426SWYP | statement | theorem 3.12 | arxiv |
| HGGND9JAXA | statement | proposition 5.1 | arxiv |
| HNH5HYV7W8 | statement | lemma 5.18 | arxiv |
| HP3RF4YBNM | example | example 6.4 | arxiv |
| J5GNMWQ69M | statement | theorem 7.2 | arxiv |
| Set Partitions | definition | definition A.1 | arxiv |
| Refinement Order | definition | definition A.12 | arxiv |
| M2X65KPDFZ | example | example 5.13 | arxiv |
| Multiplicativity of partitioned cumulants | statement | proposition 6.2 | arxiv |
| M4CE2F0KAK | statement | proposition 4.2 | arxiv |
| ME1929AB4A | statement | proposition A.31 | arxiv |
| Weisner coefficients | statement | proposition 5.19 | arxiv |
| MT8QVDC4P9 | statement | corollary A.32 | arxiv |
| MVD26T1K7Q | definition | definition A.17 | arxiv |
| N33P1S378Y | statement | lemma 3.15 | arxiv |
| N79W2H1ED1 | statement | proposition 5.15 | arxiv |
| NDRN9DJNYC | definition | definition 3.10 | arxiv |
| NTJKM0DPSQ | definition | definition 5.14 | arxiv |
| NZRRCFPPVC | statement | proposition 3.26 | arxiv |
| Order Dropping Map | definition | definition A.11 | arxiv |
| $\exch$-independence | definition | definition 2.12 | arxiv |
| Q0Q79K6K5D | statement | proposition 6.1 | arxiv |
| QAVAYXEF9F | example | example 2.15 | arxiv |
| QFH2GBNM58 | statement | proposition 6.3 | arxiv |
| QKFJRHD5TR | definition | definition 3.21 | arxiv |
| QSWNYVR2X4 | definition | definition A.25 | arxiv |
| SG2TBN3KJP | definition | definition A.28 | arxiv |
| SRJ7RFW9DD | definition | definition A.19 | arxiv |
| Goldberg coefficients | statement | proposition 5.21 | arxiv |
| Moment-cumulant formulas | statement | theorem 3.11 | arxiv |
| Monotone independence | example | example 4.7 | arxiv |
| VH5HYBJ080 | definition | definition A.22 | arxiv |
| VYH67HT7VG | statement | proposition A.24 | arxiv |
| Free independence | example | example 4.8 | arxiv |
| WY9G0S7P34 | statement | theorem 6.17 | arxiv |
| X92H9Q1CSX | definition | definition 2.10 | arxiv |
| Weisner coefficients and partial vanishing of cumulants | example | example 5.27 | arxiv |
| XQ1CPY5CW6 | statement | proposition A.26 | arxiv |
| YG6CMCZD3M | statement | lemma 5.20 | arxiv |
| YK8JNK674N | definition | definition 5.12 | arxiv |
| ZC3H2AT7FP | statement | proposition A.30 | arxiv |
| ZP3SYTZY0R | example | example 2.19 | arxiv |
| ZS6K3S1KP8 | example | example A.15 | arxiv |
Catalogue records
- arxiv: 1711.00219 (work)
- arxiv_text: 1711.00219 (work)