Point Configurations in Brownian Traces CBCCH5VTMQ
| URI | m2://res/CBCCH5VTMQ |
|---|---|
| Kind | preprint |
| Creators | P. Kosenko, J. M. Medina, A. Yavicoli |
| Date | 2026-10-02 |
| MSC | 60-XX, 26-XX |
| Subjects | arxiv math.PR, arxiv math.CA |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-02 |
| Ids | arXiv 2610.04000, zbl_id 903196546 |
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 |
|---|---|---|---|
| product Brownian capacity | statement | lemma 3.13 | arxiv |
| planar intersection formula | statement | lemma 2.1 | arxiv |
| 3EDJG19R4C | statement | theorem 2.6 | arxiv |
| upper dimension of realised parameters | statement | proposition 3.11 | arxiv |
| countable configurations | statement | theorem 2.10 | arxiv |
| radial patterns | statement | theorem 2.3 | arxiv |
| rank-regular scale atlas | definition | definition 3.6 | arxiv |
| zero capacity of critical manifolds | statement | lemma 3.14 | arxiv |
| resonance bound | statement | lemma 3.9 | arxiv |
| 82KAHK72S4 | statement | theorem | arxiv |
| rank of a similarity subfamily | statement | lemma 4.6 | arxiv |
| homothetic copies | statement | corollary 4.4 | arxiv |
| threshold for similar copies | statement | theorem 4.7 | arxiv |
| BD1TJGMH58 | statement | theorem | arxiv |
| local occurrence | statement | theorem 3.10 | arxiv |
| subconfiguration obstruction | statement | proposition 3.16 | arxiv |
| infinite progressions | statement | theorem 2.12 | arxiv |
| pattern trichotomy | statement | theorem 3.17 | arxiv |
| intersection lemma | statement | lemma 2.2 | arxiv |
| sharp subconfiguration criterion | statement | corollary 3.18 | arxiv |
| GB1GPGENBY | statement | corollary 2.7 | arxiv |
| chartwise criterion | statement | corollary 3.19 | arxiv |
| longest progression in the spatial trace | statement | corollary 4.3 | arxiv |
| KG9ZY33V4F | definition | definition 3.3 | arxiv |
| rank check | statement | corollary 3.8 | arxiv |
| polar submanifolds for one trace | statement | lemma 3.15 | arxiv |
| fibres and dimension | statement | lemma 2.8 | arxiv |
| single-ball hitting | statement | lemma 3.2 | arxiv |
| ranks for progressions | statement | lemma 4.2 | arxiv |
| flag boxes from constant ranks | statement | lemma 3.7 | arxiv |
| multi-ball and paired-copy estimates | statement | lemma 3.4 | arxiv |
| normalised pattern chart | definition | definition 3.5 | arxiv |
| ergodicity of Brownian scaling | statement | lemma 3.12 | arxiv |
| TS9JFP0TGZ | statement | corollary 2.5 | arxiv |
| XDWVA92Z3Y | statement | corollary 2.4 | arxiv |
| atlases from global charts | statement | lemma 4.1 | arxiv |
| Benjamini--Kozma | statement | theorem 3.1 | arxiv |
| finite progression parameters | statement | theorem 2.9 | arxiv |
| Z5V6DSN5JQ | statement | theorem | arxiv |
Catalogue records
- arxiv: 2610.04000 (work)
- arxiv_text: 2610.04000 (work)
- zbmath_search: 903196546 (work)