Asymptotics of Constrained Quantization for Compactly Supported Measures BWJS3H55WH
| URI | m2://res/BWJS3H55WH |
|---|---|
| Kind | preprint |
| Creators | Chenxing Qian |
| Date | 2025-05-16 |
| MSC | 51-XX, 52-XX, 26-XX, 46-XX, 49-XX, 90-XX, 93-XX, 60-XX |
| Subjects | arxiv math.MG, arxiv math.CA, arxiv math.FA, arxiv math.OC, arxiv math.PR |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2025-05-16 |
| Ids | arXiv 2505.10801 |
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 |
|---|---|---|---|
| 1HV6T40XXZ | statement | corollary 3 | arxiv |
| 1PXB7V4QS7 | statement | proposition 4 | arxiv |
| 2TBH6DX45S | statement | lemma 22 | arxiv |
| 3NZ9AT7J39 | statement | lemma 35 | arxiv |
| Stability | statement | lemma 13 | arxiv |
| Lower Ahlfors regularity of the measure $T_*P$ | statement | lemma 15 | arxiv |
| Monotonicity and limit for $\tilde{e}_{n,r}(P;S)$ and $\hat{e}_{n,r}(P;S)$ | statement | lemma 20 | arxiv |
| 68M9HE270Y | statement | lemma 21 | arxiv |
| Existence of $C_{n,r}(P;S)$ | statement | lemma 5 | arxiv |
| Lower dimensions when quantizers lie out of $\pi_S(K)$ | statement | lemma 25 | arxiv |
| Lower Asymptotics | statement | theorem 2 | arxiv |
| D9GYFY0K39 | statement | lemma 9 | arxiv |
| DMBESGKDWY | statement | lemma 7 | arxiv |
| Upper Asymptotics | statement | theorem 1 | arxiv |
| Upper asymptotics in terms of box dimensions | statement | proposition 24 | arxiv |
| Some properties on $\dim_H$ | statement | lemma 33 | arxiv |
| G4J8WGA0VT | statement | proposition 28 | arxiv |
| Nonemptiness of $C_{n,r}(P;S)$ | statement | lemma 16 | arxiv |
| JR4RH7ZFSR | statement | lemma 37 | arxiv |
| Closed graph property of $\pi_S(K)$ | statement | lemma 10 | arxiv |
| Monotonicity and limit for $e_{n,r}(P;S)$ | statement | lemma 18 | arxiv |
| Dirac measure | example | example 30 | arxiv |
| MD4BSKPYF8 | statement | lemma 36 | arxiv |
| MWGE4QRGH9 | statement | lemma 8 | arxiv |
| Middle-third Cantor | example | example 32 | arxiv |
| Characterization of $e_{\infty,r}(P;S)$ by the projection map | statement | lemma 19 | arxiv |
| Q3WCXJ5NRC | statement | lemma 14 | arxiv |
| Lower asymptotics if $S\cap K=\varnothing$ | statement | proposition 27 | arxiv |
| Nowhere density of $\pi_S(K)$ | statement | lemma 12 | arxiv |
| Meaurable selector | statement | lemma 11 | arxiv |
| Upper asymptotics in terms of Ahlfors dimensions | statement | corollary 23 | arxiv |
| WK547R6AEE | statement | lemma 6 | arxiv |
| Quantizers outside $\pi_S(K)$ | example | example 26 | arxiv |
| Uniform on unit circle | example | example 31 | arxiv |
| Y4DT5N8Q5V | statement | lemma 17 | arxiv |
| YBKMVCAAW3 | statement | lemma 34 | arxiv |
| YGB4MZCHMZ | example | example 29 | arxiv |
Catalogue records
- arxiv: 2505.10801 (work)
- arxiv_text: 2505.10801 (work)