تقرير
Local tail bounds for polynomials on the discrete cube
| العنوان: | Local tail bounds for polynomials on the discrete cube |
|---|---|
| المؤلفون: | Klartag, Bo'az, Sodin, Sasha |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability |
| الوصف: | Let $P$ be a polynomial of degree $d$ in independent Bernoulli random variables which has zero mean and unit variance. The Bonami hypercontractivity bound implies that the probability that $|P| > t$ decays exponentially in $t^{2/d}$. Confirming a conjecture of Keller and Klein, we prove a local version of this bound, providing an upper bound on the difference between the $e^{-r}$ and the $e^{-r-1}$ quantiles of $P$. Comment: 6 pp. v2: minor corrections |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2112.13902 |
| رقم الأكسشن: | edsarx.2112.13902 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |