Anti-concentration with respect to random permutations
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911360082771968 |
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| author | Berger, Aaron Berkowitz, Ross Devlin, Pat Vu, Van |
| author_facet | Berger, Aaron Berkowitz, Ross Devlin, Pat Vu, Van |
| contents | Classical anti-concentration results focus on the random sum $S := \sum _{i=1}^n ξ_i v_i$, where $ξ_i$ are independent random variables and $v_i$ are real numbers. In this paper, we prove new concentration results concerning the random sum $S := \sum_{i=1}^n w_{π_i } v_i $, where $w_i , v_i$ are real numbers and $π$ is a random permutation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04384 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anti-concentration with respect to random permutations Berger, Aaron Berkowitz, Ross Devlin, Pat Vu, Van Probability Combinatorics 05D40 Classical anti-concentration results focus on the random sum $S := \sum _{i=1}^n ξ_i v_i$, where $ξ_i$ are independent random variables and $v_i$ are real numbers. In this paper, we prove new concentration results concerning the random sum $S := \sum_{i=1}^n w_{π_i } v_i $, where $w_i , v_i$ are real numbers and $π$ is a random permutation. |
| title | Anti-concentration with respect to random permutations |
| topic | Probability Combinatorics 05D40 |
| url | https://arxiv.org/abs/2601.04384 |