破坏Kac球上熵混沌性的几种方法
A Few Ways to Destroy Entropic Chaoticity on Kac's Sphere
摘要：
在这项工作中，我们讨论了几种方法来创建混乱的家庭，不是熵混乱的卡茨球。我们提出了两种类型的例子：一个熵混乱的家庭与一个特别“坏”的非熵家庭，和两个明确的可计算的家庭，迅速变化与$N$，造成损失的支持领域或高熵的尾巴的限制凸组合。
英文摘要：
In this work we discuss a few ways to create chaotic families that are not entropically chaotic on Kac's Sphere. We present two types of examples: limiting convex combination of an entropically chaotic family with a particularly 'bad' non-entropic family, and two explicitly computable families that vary rapidly with $N$, causing loss of support on the sphere or high entropic tails.
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。
