Kuikui Liu
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| title | conference | date |
|---|---|---|
| Log-concave Polynomials and Spectral Independence 1 | Analysis and TCS Boot Camp 2023 | 2023-06-05 |
Defines spectral independence as the largest eigenvalue of a conditional influence matrix and proves bounded η for all conditionals yields a spectral gap ≳… | ||
| Log-concave Polynomials and Spectral Independence 2 | Analysis and TCS Boot Camp 2023 | 2023-06-05 |
Shows that log-concavity of g_mu and explicit zero-free region around 1 each imply spectral independence by translating marginals and pairwise influences into… | ||
| Log-concave Polynomials and Spectral Independence 3 | Analysis and TCS Boot Camp 2023 | 2023-06-05 |
Shows that spectral independence of all conditionals gives a concrete mixing bound: with ζ-SI the Glauber spectral gap is at least 1/n^{1+ζ}; adding a global… | ||
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