论文标题
Markov流程的分数代表，其发电机包括负率
Markov process representation of semigroups whose generators include negative rates
论文作者
论文摘要
马尔可夫过程的发电机在可数的状态空间上可以表示为有限或无限矩阵。一个关键属性是与马尔可夫流程的跳高率相对应的非对角线条目是非负的。在这里，我们介绍了可能是负速率为负速率的发电机产生的半群的随机表征。这是通过考虑具有一个或多个颗粒和反粒子的较大状态空间来完成的，而反粒子是带有负标志的颗粒。
Generators of Markov processes on a countable state space can be represented as finite or infinite matrices. One key property is that the off-diagonal entries corresponding to jump rates of the Markov process are non-negative. Here we present stochastic characterizations of the semigroup generated by a generator with possibly negative rates. This is done by considering a larger state space with one or more particles and antiparticles, with antiparticles being particles carrying a negative sign.
