The Area Asymptotics of $(sn,n)$-Dyck Paths XHHBGCVG90
| URI | m2://res/XHHBGCVG90 |
|---|---|
| Kind | preprint |
| Creators | Evan Conway, James Harbour |
| Date | 2026-10-06 |
| MSC | 05-XX |
| Subjects | arxiv math.CO |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-06 |
| Ids | arXiv 2610.07671, zbl_id 903200188 |
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 |
|---|---|---|---|
| Path Type | definition | definition 3.1.1 | arxiv |
| Bounds on Average Area for Large $s$ | statement | lemma 6.3.1 | arxiv |
| Dyck Path Area | definition | definition 2.1.2 | arxiv |
| Dyck Path | definition | definition 2.1.1 | arxiv |
| Total Area Asymptotics in $n$ | statement | corollary 5.3.1 | arxiv |
| D22R0CZGDK | example | example 3.1.1 | arxiv |
| Lower Bound on the Sum | statement | lemma 5.2.2 | arxiv |
| Asymptotics of the Sum | statement | corollary 5.2.1 | arxiv |
| Paths of a Given Type | statement | lemma 3.1.1 | arxiv |
| Touchpoints | definition | definition 2.3.1 | arxiv |
| GX01CB8KPE | example | example 2.2.1 | arxiv |
| Recursive Area Formula | statement | proposition 3.2.1 | arxiv |
| Weighted Type Sums | statement | lemma 3.2.1 | arxiv |
| Bounds on the Sum for Large $s$ | statement | lemma 6.2.1 | arxiv |
| $(sn,n)$-Dyck Path Area | definition | definition 2.2.2 | arxiv |
| Upper Bound on the Sum | statement | lemma 5.2.1 | arxiv |
| Bounds on Total Area | statement | theorem 5.3.1 | arxiv |
| St\u{a}nic\u{a}'s Binomial Bounds | statement | lemma 5.1.1 | arxiv |
| Exact Total Area Formula | statement | theorem 4.2.1 | arxiv |
| Bounds on Total Area for Large $s$ | statement | lemma 6.2.2 | arxiv |
| Average Area Asymptotics in $s$ | statement | corollary 6.3.1 | arxiv |
| Average Area Asymptotics in $n$ | statement | corollary 5.3.2 | arxiv |
| Bounds on Average Area | statement | theorem 5.3.2 | arxiv |
| VJ0AQ6113F | example | example 2.1.2 | arxiv |
| X3XABB6VYR | example | example 2.3.1 | arxiv |
| X7G9DSBHFW | example | example 2.1.1 | arxiv |
| Total Area Asymptotics in $s$ | statement | corollary 6.2.1 | arxiv |
| Z3HZZHVFJ1 | example | example 2.2.2 | arxiv |
| $(sn,n)$-Dyck Path | definition | definition 2.2.1 | arxiv |
Catalogue records
- arxiv: 2610.07671 (work)
- arxiv_text: 2610.07671 (work)
- zbmath_search: 903200188 (work)