On $H^{2|2}$ Isomorphism theorems and reinforced loop soup
Probability
2020-04-22 v2
Abstract
We show that supersymmetric (susy) hyperbolic isomorphism theorems that relate Vertex Reinforced Jump Processes and field, introduced in [2] and [3], are annealed version of isomorphism theorems relating Markov processes and Gaussian free field, with the help of a Bayes formula that relates susy hyperbolic field to susy free field. On the other hand, we also prove a BFS-Dynkin's isomorphism theorem for reinforced loop soup. Moreover, we provide yet another proof of BFS-Dynkin's isomorphism for VRJP a la Feynman-Kac.
Cite
@article{arxiv.1911.09036,
title = {On $H^{2|2}$ Isomorphism theorems and reinforced loop soup},
author = {Yinshan Chang and Dang-Zheng Liu and Xiaolin Zeng},
journal= {arXiv preprint arXiv:1911.09036},
year = {2020}
}
Comments
16 pages