一个有向KKL不等式的反例
A Counterexample to a Directed KKL Inequality
摘要：
我们证明了从布尔函数分析中得到的KKL定理[KKL 88]和Eldan-Gross不等式[EG20]的自然有向类似物不成立。这是在对比的其他几个等周不等式的布尔超立方体（如庞加莱不等式，马古利斯的不等式[3月74日]和Talagrand的不等式[Tal93]），其中直接加强最近已经建立。
英文摘要：
We show that the natural directed analogues of the KKL theorem [KKL88] and the Eldan--Gross inequality [EG20] from the analysis of Boolean functions fail to hold. This is in contrast to several other isoperimetric inequalities on the Boolean hypercube (such as the Poincare inequality, Margulis's inequality [Mar74] and Talagrand's inequality [Tal93]) for which directed strengthenings have recently been established.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
