标题： 线上的某些相互作用粒子的行列式转移核 显示英文标题

标题： Determinantal transition kernels for some interacting particles on the line

摘要： 我们通过证明这四个线性马尔可夫相互作用粒子系统的转移核与卡林-麦克格雷戈类型的核交织，找到了这些核的转移核。 所有得到的核都继承了卡林-麦克格雷戈公式的行列式结构，并且形式与施卢茨的全不对称简单排除过程的核类似。 显示英文摘要

摘要： We find the transition kernels for four Markovian interacting particle systems on the line, by proving that each of these kernels is intertwined with a Karlin-McGregor type kernel. The resulting kernels all inherit the determinantal structure from the Karlin-McGregor formula, and have a similar form to Schutz's kernel for the totally asymmetric simple exclusion process.