论文标题
部分可观测时空混沌系统的无模型预测
Orthogonal polynomial duality of a two-species asymmetric exclusion process
论文作者
论文摘要
我们检查了D型ASEP，这是一种两种相互作用的粒子系统，它概括了通常的不对称简单排除过程。对于某些D型ASEP的情况，即使两种物种之间存在非平凡的相互作用，该过程也不能优先于另一种物种。对于这些特定情况，我们证明D型ASEP相对于$ Q $ -Krawtchouk多项式的独立产品是自二的。 D型ASEP最初是在Arxiv：2011.13473中构建的，使用类型D量子组$ \ MATHCAL {U} _Q（\ Mathfrak {so} _6）$和$ \ Mathcal {U} _Q（\ Mathfrak {so so} _8 _8 _8）$。该论文声称，某些国家需要“丢弃”，以确保不存在。在这里，我们还为同一索赔提供了更有效的论点。
We examine type D ASEP, a two--species interacting particle system which generalizes the usual asymmetric simple exclusion process. For certain cases of type D ASEP, the process does not give priority for one species over another, even though there is nontrivial interaction between the two species. For those specific cases, we prove that the type D ASEP is self--dual with respect to an independent product of $q$--Krawtchouk polynomials. The type D ASEP was originally constructed in arXiv:2011.13473, using the type D quantum groups $\mathcal{U}_q(\mathfrak{so}_6)$ and $\mathcal{U}_q(\mathfrak{so}_8)$. That paper claimed that certain states needed to be "discarded'' in order to ensure non--negativity. Here, we also provide a more efficient argument for the same claim.
