Entropy versus influence for complex functions of modulus one 2
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866917648041771008 |
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| author | Schechtman, Gideon |
| author_facet | Schechtman, Gideon |
| contents | This is a simplification of a previous version of this ArXiv note. We present an example of a function $f$ from $\{-1,1\}^n$ to the unit sphere in $\mathbb{C}$ with influence bounded by $1$ and entropy of $|\hat f|^2$ larger than $\frac12\log n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_12753 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Entropy versus influence for complex functions of modulus one 2 Schechtman, Gideon Combinatorics Discrete Mathematics Functional Analysis 42C10 (42C05, 05A20) This is a simplification of a previous version of this ArXiv note. We present an example of a function $f$ from $\{-1,1\}^n$ to the unit sphere in $\mathbb{C}$ with influence bounded by $1$ and entropy of $|\hat f|^2$ larger than $\frac12\log n$. |
| title | Entropy versus influence for complex functions of modulus one 2 |
| topic | Combinatorics Discrete Mathematics Functional Analysis 42C10 (42C05, 05A20) |
| url | https://arxiv.org/abs/2009.12753 |