论文标题
非交换随机过程和无双性概率
Non-Commutative Stochastic Processes and Bi-Free Probability
论文作者
论文摘要
在本文中，研究了无与伦比的概率与非共同随机过程的理论之间的联系。具体而言，可以证明，可以使用来自Bi-File概率的技术对非交流随机过程的过渡运算符进行建模。通过这种方法恢复了几个重要的示例，并获得了免费增量的过程的新公式。还讨论了这种方法的好处。
In this paper, a connection between bi-free probability and the theory of non-commutative stochastic processes is examined. Specifically it is demonstrated that the transition operators for non-commutative stochastic processes can be modelled using technology from bi-free probability. Several important examples are recovered with this approach and new formula are obtained for processes with free increments. The benefits of this approach are also discussed.
