Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910722915565568 |
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| author | Dubroff, Quentin Kahn, Jeff Park, Jinyoung |
| author_facet | Dubroff, Quentin Kahn, Jeff Park, Jinyoung |
| contents | We show that a restricted version of a conjecture of M. Talagrand on the relation between "expectation thresholds" and "fractional expectation thresholds" follows easily from a strong version of a second conjecture of Talagrand, on "selector processes." The selector process conjecture was proved by Park and Pham, and the quantitative strengthening used here is due to Bednorz, Martynek, and Meller. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00917 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds Dubroff, Quentin Kahn, Jeff Park, Jinyoung Combinatorics Probability We show that a restricted version of a conjecture of M. Talagrand on the relation between "expectation thresholds" and "fractional expectation thresholds" follows easily from a strong version of a second conjecture of Talagrand, on "selector processes." The selector process conjecture was proved by Park and Pham, and the quantitative strengthening used here is due to Bednorz, Martynek, and Meller. |
| title | Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds |
| topic | Combinatorics Probability |
| url | https://arxiv.org/abs/2412.00917 |