We derive a continuous-time lace expansion for a broad class of self-interacting continuous-time random walks. Our expansion applies when the self-interaction is a sufficiently nice function of the local time of a continuous-time random walk. As a special case we obtain a continuous-time lace expansion for a class of spin systems that admit continuous-time random walk representations.

中文翻译：

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连续时间花边扩展

我们为一大类自交互连续时间随机游走推导了连续时间花边扩展。当自交互是连续时间随机游走的本地时间的足够好的函数时，我们的扩展适用。作为一种特殊情况，我们获得了一类允许连续时间随机游走表示的自旋系统的连续时间花边展开。