The Continuous‐Time Lace Expansion

  title={The Continuous‐Time Lace Expansion},
  author={David Brydges and Tyler Helmuth and Mark Holmes},
  journal={Communications on Pure and Applied Mathematics},
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. 

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