The Order Mass Identity of Rooted Forests, with a Direct Proof of the Extended Aldous--Broder Theorem R5AFFWBMAF
| URI | m2://res/R5AFFWBMAF |
|---|---|
| Kind | preprint |
| Creators | Hugh Zheng |
| Date | 2026-10-09 |
| MSC | 60-XX, 05-XX, 62-XX |
| Subjects | arxiv math.PR, arxiv math.CO, arxiv math.ST, arxiv stat.TH |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-09 |
| Ids | arXiv 2610.13063, zbl_id 903205609 |
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 |
|---|---|---|---|
| 15WW9E6Q2X | statement | lemma 2.3 | arxiv |
| The defect of a non-unit row | statement | proposition C.4 | arxiv |
| Order decomposition | statement | proposition 3.2 | arxiv |
| Discovery order given the stopped forest | statement | corollary 6.6 | arxiv |
| 7WX9VKXMHP | example | example A.2 | arxiv |
| A four-state chain | example | example A.1 | arxiv |
| No seed mixture is unbiased in general | statement | proposition D.1 | arxiv |
| Law of the stopped covering walk | statement | theorem 6.4 | arxiv |
| Forest weight and order weight | definition | definition 3.1 | arxiv |
| A matrix with entries of both signs | example | example A.5 | arxiv |
| A chain with one-way support | example | example A.4 | arxiv |
| Blocks | statement | lemma 2.6 | arxiv |
| Cofactor form of the stationary distribution | statement | lemma 3.4 | arxiv |
| One-vertex transfer | statement | lemma 5.1 | arxiv |
| Cofactors of a matrix with zero row sums | statement | lemma 2.1 | arxiv |
| The identity without a root set | statement | proposition C.3 | arxiv |
| Aldous--Broder for general chains | statement | theorem 6.1 | arxiv |
| MXP3FS0NW5 | example | example A.3 | arxiv |
| Successive sampling on forests | statement | corollary 4.9 | arxiv |
| Order-mass identity | statement | theorem 4.5 | arxiv |
| Discovery order given the tree | statement | theorem 6.2 | arxiv |
| Order mass | definition | definition 4.3 | arxiv |
| Forests, growth orders, root indicator | definition | definition 2.5 | arxiv |
| A nonuniform law | example | example 6.3 | arxiv |
| A two-root and a one-root calculation | example | example 4.6 | arxiv |
| Real aggregation | statement | corollary C.2 | arxiv |
| Harmonic extension | definition | definition 2.2 | arxiv |
| Green function, reversal, normalized columns | statement | lemma 3.3 | arxiv |
Catalogue records
- arxiv: 2610.13063 (work)
- arxiv_text: 2610.13063 (work)
- zbmath_search: 903205609 (work)