General Constructions of Permutation-Fair Dice 3RBKH0DA74
| URI | m2://res/3RBKH0DA74 |
|---|---|
| Kind | preprint |
| Creators | Tomáš Gavenčiak, Bernhard Haeupler, Václav Rozhoň |
| Date | 2026-10-11 |
| MSC | 05-XX |
| Subjects | arxiv math.CO |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-11 |
| Ids | arXiv 2610.15421 |
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 |
|---|---|---|---|
| A regular starting quadrature | statement | lemma 4.7 | arxiv |
| The response of order probabilities | statement | lemma 4.9 | arxiv |
| Many dice are large | statement | theorem 4.1 | arxiv |
| String representation | definition | definition 2.1 | arxiv |
| The size of one die | statement | theorem 4.3 | arxiv |
| 4RPY9VJDB0 | statement | theorem 1.3 | arxiv |
| Wilson's integral estimate | statement | lemma 3.4 | arxiv |
| 7AV5GM0Q1Y | statement | theorem 1.2 | arxiv |
| Paired thresholds | statement | lemma 4.4 | arxiv |
| 9YNH7QSEHB | statement | corollary 2.7 | arxiv |
| A lattice collision bound | statement | lemma A.2 | arxiv |
| B3EA2F1044 | statement | theorem 1.1 | arxiv |
| CNGV7DHQNQ | statement | lemma 2.4 | arxiv |
| Moment-coloring reduction | statement | theorem 5.3 | arxiv |
| ER7F6DY2KG | definition | definition 2.8 | arxiv |
| Prouhet digit-sum identity | statement | lemma 5.2 | arxiv |
| Elementary symmetrization | statement | theorem 2.11 | arxiv |
| Improved place-fair upper bound | statement | theorem 5.4 | arxiv |
| HVC6X0KQK4 | statement | theorem 5.1 | arxiv |
| KT5P3S011X | statement | lemma 2.9 | arxiv |
| Gaussian and Radau rules | statement | lemma 4.5 | arxiv |
| Uniform moment estimate | statement | lemma 6.2 | arxiv |
| Permutation-fair string | definition | definition 2.2 | arxiv |
| NGJ351J3RS | statement | corollary 2.5 | arxiv |
| Zaremba's nodal bound | statement | lemma 3.3 | arxiv |
| Exactness and positivity | statement | proposition 3.5 | arxiv |
| Insertion criterion | statement | lemma 3.1 | arxiv |
| The last row | statement | lemma 4.6 | arxiv |
| Local moment corrections | statement | lemma 4.8 | arxiv |
| Bounded multilinear chaos | statement | lemma A.1 | arxiv |
| W5A6K9Q8G0 | statement | lemma 4.2 | arxiv |
| Symmetrization; cf.\ | statement | lemma 2.10 | arxiv |
| Hahn construction | statement | theorem 3.6 | arxiv |
| XREVDWMB28 | statement | theorem 1.4 | arxiv |
| YAMCT3KSYF | statement | lemma 2.3 | arxiv |
| Partial-pattern count | statement | lemma 2.6 | arxiv |
| Approximate fairness from random palindromes | statement | theorem 6.1 | arxiv |
Catalogue records
- arxiv: 2610.15421 (work)
- arxiv_text: 2610.15421 (work)